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The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case for an EIC”, November 16-19, 2010

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Page 1: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Frontiers of Nuclear Science: from 12 GeV to EIC

Rolf EntINT10-03 Program, Institute for Nuclear Theory, Seattle, WA

Workshop on “The Science Case for an EIC”, November 16-19, 2010

Page 2: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

NSAC 2007 Long Range Plan

Recommendation I

“We recommend completion of the 12 GeV Upgrade at Jefferson Lab. The Upgrade will enable new insights into the structure of the nucleon, the transition between the hadronic and quark/gluon descriptions of nuclei, and the nature of confinement.”

A fundamental challenge for modern nuclear physics is to understand the structure and interactions of nucleons and nuclei in terms of QCD. Doubling the energy of the JLAB accelerator will enable three-dimensional imaging of the nucleon, revealing hidden aspects of the internal dynamics.

Page 3: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Highlights of the 12 GeV Science Program

• Unlocking the secrets of QCD: quark confinement

• New and revolutionary access to the structure of the proton and neutron

• Discovering the quark structure of nuclei

• High precision tests of the Standard Model Items in blue related to

Page 4: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Measuring High-x Structure Functions

REQUIRES:• High beam polarization• High electron current• High target polarization• Large solid angle spectrometers

12 GeV will access the regime (x > 0.3), where valence quarks dominate

d/u

Also with 3H/3He and EW

Page 5: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Beyond form factors and quark distributions – Generalized Parton Distributions (GPDs)

Proton form factors, transverse charge & current densities

Structure functions,quark longitudinalmomentum & helicity distributions

X. Ji, D. Mueller, A. Radyushkin (1994-1997)

Correlated quark momentum and helicity distributions in transverse space - GPDs

Extend longitudinal quark momentum & helicity distributions to transverse momentum distributions -

TMDs

2000’s

Page 6: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The path towards the extraction of GPDs

A =

=

Use polarization!

LU ~ sinIm{F1H + }d

= xB/(2-xB)

H(,t)

Kinematically suppressed

Subset of projected results

Page 7: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Projected results

Spatial Image

Projected precision in extraction of GPD H at x =

Rich program in DVCS in valence quark region

Page 8: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Deep Exclusive Meson Production @ 12 GeV

Measurements at DESY of diffractive channels (J/, , , ) confirm the applicability of QCD factorization:• t-slopes universal at high Q2

• flavor relations :

Fit with d/dt = e-Bt

Pseudoscalar (and vector) meson production at 12 GeV: typically up to Q2 = 10 GeV2 Experimental QCD factorization tests of (e,e’+) and (e,e’K+) essential

B (

GeV

-2)

Page 9: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Valence Quark Structure and Parton Distributions

Access to valence quark region through DIS at large x will be augmented with a SIDIS program

Boer-Mulders asymmetry for pions as function of Q2 and pT

Page 10: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Closed (open) symbols reflect data after (before) events from coherent production are subtracted

GRV & CTEQ,@ LO or NLO

(Note: z = 0.65 ~ Mx

2 = 2.5 GeV2)

Onset of the Parton Model in SIDIS @ JLab

Good description for p and d targets for 0.4 < z < 0.65

1H,2H(e,e’+/-)X

factorization

eq2q(x) Dq

(z)

6 GeV: z > 0.4

Page 11: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

12-GeV: study x-z Factorization for kaonsP.J. Mulders, hep-ph/0010199 (EPIC Workshop, MIT, 2000)

At large z-values easier to separate current and target fragmentation region for fast hadrons factorization (Berger Criterion) “works” at lower energies

At W = 2.5 GeV: z > 0.6If same arguments as validated for apply to K: (but, z < 0.65 limit may not apply for kaons!)

Access to sea/strange quarks not clear with 12 GeV

Page 12: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

R = L/T in (e,e’) SIDIS

quark

Knowledge on R = L/T in SIDIS is essentially non-existing! • If integrated over z (and pT, , hadrons), RSIDIS = RDIS

• RSIDIS may vary with z

• At large z, there are known contributions from exclusive and diffractive channels: e.g., pions from and +-

• RSIDIS may vary with transverse momentum pT

• Is RSIDIS+

= RSIDIS-

? Is RSIDISH = RSIDIS

D ?

• Is RSIDISK+

= RSIDIS+

? Is RSIDISK+

= RSIDISK-

? We

measure kaons too! (with about 10% of pion statistics)

• RSIDIS = RDIS test of dominance of quark fragmentation

eq2q(x) Dq

(z)

“A skeleton

in our

closet”

Page 13: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

RDIS

RDIS (Q2 = 2 GeV2)

Cornell data of 70’s

R = L/T in SIDIS (ep e’X)

Cornell data conclusion: “data both consistent with R = 0 and R = RDIS”

Some hint of large R at large z in Cornell data?JLab@12: scans vs. Q2/x, z (Q2 = 2& 4) & PT

Page 14: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Transverse Momentum Dependence of Semi-Inclusive Pion Production

• Not much is known about the orbital motion of partons• Significant net orbital angular momentum of valence quarks implies significant transverse momentum of quarks

Pt = pt + z kt

+ O(kt2/Q2)

Final transverse momentum of the detected pion Pt arises from convolution of the struck quark transverse momentum kt with the transverse momentum generated during the fragmentation pt.

z = E/

pT ~ < 0.5 GeV optimal for studies as theoretical framework for Semi-Inclusive Deep Inelastic Scattering has been well developed at small transverse momentum [A. Bacchetta et al., JHEP 0702 (2007) 093].

Page 15: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Unpolarized SIDIS – JLab @ 6 GeVConstrain kT dependence of up and down quarks separately

1) Probe + and - final states

2) Use both proton and neutron (d) targets

3) Combination allows, in principle, separation of quark width from fragmentation widths

(if sea quark contributions small)1st example: Hall C, PL B665 (2008) 20

Simple model, host of assumptions (factorization valid, fragmentation functions do not depend on quark flavor, transverse momentum widths of quark and fragmentation functions are gaussian and can be added in quadrature, sea quarks are negligible, assume Cahn effect, etc.)

Exampl

e

<p

t2>

(fa

vore

d)

<kt2> (up)

Exampl

e

x = 0.32z = 0.55

12 GeV: start testing assumptions!

Page 16: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Does the quark structure of a nucleon get modified by the suppressed QCD vacuum fluctuations in a nucleus?

1) Measure the EMC effect on the mirror nuclei 3H and 3He

2) Is the EMC effect a valence quark only effect?3) Is the spin-dependent EMC effect larger?4) Can we reconstruct the EMC effect on 3He and 4He

from all measured reaction channels?5) Is there any signature for 6-quark clusters?6) Can we map the effect vs. transverse

momentum/size?

Reminder: EMC effect is effect that quark momenta in nuclei are altered

12 GeV is probably our best chance to understand the origin of the EMC effect in the valence quark region

Page 17: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Using the nuclear arenaHow long can an energetic quark remain

deconfined?How long does it take a confined quark to form a hadron?

Formation time tfh

Production time tp

Quark is deconfined

Hadron is formed

Hadron attenuation

CLAS

Time required to produce colorless “pre-hadron”, signaled by medium-stimulated energy loss via gluon emission

Time required to produce fully-developed hadron, signaled by CT and/or usual hadronic interactions

Page 18: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Transverse Momentum Broadening

pT2 reaches a “plateau” for sufficiently large quark

energy, for each nucleus (L is fixed), related to production length (start seeing this effect in 6-GeV data).pT

2

Projected Data

Page 19: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Solid 19

Sensitivity: C1 and C2 Plots after 12 GeV

Cs

12 GeV PVDIS

Qweak 12 GeV PVDIS

World’s data

Precision Data(w. Qweak,6 GeV/PVDIS, 12 GeV/PVDIS)

Gain factor of 80 or so in C2 combination with 12 GeV!

6 GeV

(Vector quark and axial-vector quark couplings)

Page 20: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

N

ee ~ 25 TeV

JLab MøllerLHC

New Contact Interactions

Møller Parity-Violating Experiment: New Physics Reach

(example of large installation experiment with 11 GeV beam energy)

AFB(b) measures product of e- and b-Z couplingsALR(had) measures purely the e-Z couplings

Proposed APV(b) measures purely thee-Z couplings at a different energy scale

Not “just another measurement” of sin2(w)

Page 21: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

2004-2005 Conceptual Design (CDR) - finished

2004-2008 Research and Development (R&D) - finished

2006 Advanced Conceptual Design (ACD) - finished

2006-2009 Project Engineering & Design (PED) - finished

2009-2014 Construction – in second year of construction

Parasitic machine shutdown May 2011 through Oct. 2011

Accelerator shutdown start mid-May 2012

Accelerator commissioning start mid-May 2013

2013-2015 Pre-Ops (beam commissioning)

Hall A commissioning start October 2013

Hall D commissioning start April 2014

Halls B and C commissioning start October 2014

12 GeV Upgrade: Phases and Schedule

Timescale (for 310M$ project): over 10 years – after numbered recommendation

Page 22: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Highlights (& Shortcomings) of the 12 GeV Science Program• New and revolutionary access to the structure of the proton and neutron

- Form factors to high Q2 (about 10 GeV2)- Large x PDFs, DVCS & TMD measurements for x

> 0.1- No strange/sea quarks, probing //K production

• Discovering the quark structure of nuclei

- Disentangle the origin of the (valence) EMC effect

- Establish Color Transparency for meson production

- No target fragmentation, limited hadronization studies

• High precision tests of the Standard Model - Probably as good as anyone can do in EW at E < Mz

Page 23: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Nuclear Physics – 12 GeV to EIC

The role of Gluons and Sea Quarks

Study the Force Carriers of QCD

Page 24: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

A High-Luminosity Electron Ion Collider

• Base EIC Requirements:• range in energies from s = few 100 to s = few 1000 & variable• fully-polarized (>70%), longitudinal and transverse• ion species up to A = 200 or so• high luminosity: about 1034 e-nucleons cm-2 s-1

• upgradable to higher energies

NSAC 2007 Long-Range Plan:

“An Electron-Ion Collider (EIC) with polarized beams has been embraced by the U.S. nuclear science community as embodying the vision for reaching the next QCD frontier. EIC would provide unique capabilities for the study of QCD well beyond those available at existing facilities worldwide and complementary to those planned for the next generation of accelerators in Europe and Asia.”

Page 25: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Why an Electron-Ion Collider?

• Longitudinal and Transverse Spin Physics!- 70+% polarization of beam and target without dilution- transverse polarization also 70%!

• Detection of fragments far easier in collider environment!- fixed-target experiments boosted to forward hemisphere- no fixed-target material to stop target fragments- access to neutron structure w. deuteron beams (@ pm = 0!)

• Easier road to do physics at high CM energies!- Ecm

2 = s = 4E1E2 for colliders, vs. s = 2ME for fixed-target 4 GeV electrons on 12 GeV protons ~ 100 GeV fixed-target- Easier to produce many J/’s, high-pT pairs, etc.- Easier to establish good beam quality in collider mode

Target fdilution,

fixed_target

Pfixed_target f2P2fixed_target f2P2

EIC

p 0.2 0.8 0.03 0.5

d 0.4 0.5 0.04 0.5

Longitudinal polarization FOM

Page 26: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

longitudinal momentum

transverse distribution

orbital motion quark to

hadron conversio

nDynamical structure!

Gluon saturation?

• Obtain detailed differential transverse quark and gluon images (derived directly from the t dependence with good t resolution!) - Gluon size from J/ and electroproduction- Singlet quark size from deeply virtual compton scattering (DVCS)- Strange and non-strange (sea) quark size from and K production

• Determine the spin-flavor decomposition of the light-quark sea• Constrain the orbital motions of quarks & anti-quarks of different flavor

- The difference between +, –, and K+ asymmetries reveals the orbits

• Map both the gluon momentum distributions of nuclei (F2 & FL measurements) and the transverse spatial distributions of gluons on nuclei (coherent DVCS & J/ production).• At high gluon density, the recombination of gluons should compete with gluon splitting, rendering gluon saturation. Can we reach such state of saturation?• Explore the interaction of color charges with matter and understand the conversion of quarks and gluons to hadrons through fragmentation and breakup.

Why a New-Generation EIC? Why not HERA?

Page 27: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Science of an (M)EICNuclear Science Goal: How do we understand the visible matter in our universe in terms of the fundamental quarks and gluons of QCD?

Overarching EIC Goal: Explore and Understand QCDThree Major Science Questions for an EIC (from NSAC LRP07):1)What is the internal landscape of the nucleons?2)What is the role of gluons and gluon self-interactions in nucleons and nuclei? 3)What governs the transition of quarks and gluons into pions and nucleons?Or, Elevator-Talk EIC science goals:

Map the spin and spatial structure of quarks and gluons in nucleons

(show the nucleon structure picture of the day…)

Discover the collective effects of gluons in atomic nuclei (without gluons there are no protons, no neutrons, no atomic nuclei)

Understand the emergence of hadronic matter from quarks and gluons

(how does E = Mc2 work to create pions and nucleons?)

+ Hunting for the unseen forces of the universe?

Page 28: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Science of an (M)EIC

Or, Elevator-Talk EIC science goals:Map the spin and spatial structure of quarks and gluons in

nucleons (show the nucleon structure picture of the day…)

Discover the collective effects of gluons in atomic nuclei (without gluons there are no protons, no neutrons, no atomic nuclei)

Understand the emergence of hadronic matter from quarks and gluons

(how does E = Mc2 work to create pions and nucleons?)

+ Hunting for the unseen forces of the universe?

Page 29: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Similar reduction with neural

networks (Rojo + Accardi)

F2p & F2d @ high x still needed from EIC

• s = 1000• One year of running (26 weeks) at 50% efficiency, or 35 fb-1

F 2

Q2 (GeV2)

• Similar improvement in F2p at large x

• F2n tagging measurements relatively

straightforward in EIC designs• EIC will have excellent kinematics to further measure/constrain n/p at large x!

Sensible reduction in PDF error, likely larger reduction if also energy scan

Page 30: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Projected g1p Landscape of the EIC

RHIC-Spin

Similar for g2p

(and g2

n)!

Access to g/g is possible from the g1

p measurements through the QCD evolution, or from open charm (D0) production (see below), or from di-jet measurements.

Page 31: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case
Page 32: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

100 days, L =1033, s = 1000

Sea Quark Polarization• Spin-Flavor Decomposition of the Light Quark

Sea

| p = + + + …>u

u

d

u

u

u

u

d

u

u

dd

d Many models predict

u > 0, d < 0

Access requires s ~ 1000 (and good luminosity) }

Page 33: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Transverse Quark & Gluon ImagingDeep exclusive measurements in ep/eA with an EIC:

diffractive: transverse gluon imaging J/, , o, (DVCS) non-diffractive: quark spin/flavor structure , K, +, …

Describe correlation of longitudinal momentum and transverse position of

quarks/gluons

Transverse quark/gluon imaging of nucleon

(“tomography”)

Are gluons uniformly distributed in nuclear matter or are there small clumps of glue?Are gluons & various quark flavors similarly distributed? (some hints to the contrary)

Page 34: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Detailed differential images from nucleon’s partonic structure

EIC: Gluon size from J/ and electroproduction (Q2 > 10 GeV2)

[Transverse distribution derived directly from tdependence]

t

Hints from HERA:Area (q + q) > Area (g)

Dynamical models predict difference: pion cloud, constituent quark

picture

-

t

EIC: singlet quark size from deeply virtual compton scattering

EIC: strange and non-strange (sea) quark size from and K production

• Q2 > 10 GeV2 for factorization • Statistics hungry at high Q2!

Page 35: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Image the Transverse Momentum of the Quarks

An EIC with high transverse polarization is the optimal

tool to to study this!

The difference between the +, –, and K+ asymmetries reveals that quarks and anti-quarks of different flavor are orbiting in different ways within the proton.

Swing to the left, swing to the right: A surprise of transverse-spin experiments

Only a small subset of the (x,Q2) landscape has been mapped here: terra

incognita

Page 36: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Vanish like 1/pT (Yuan)

Correlation between Transverse Spin and Momentum of Quarks in

Unpolarized TargetAll Projected Data

Perturbatively Calculable at Large pT

-

(Harut Avakian, Antje Bruell)

Assumed 100 days of 1035 luminosity

Page 37: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Science of an (M)EIC

Or, Elevator-Talk EIC science goals:Map the spin and spatial structure of quarks and gluons in

nucleons (show the nucleon structure picture of the day…)

Discover the collective effects of gluons in atomic nuclei

(without gluons there are no protons, no neutrons, no atomic nuclei)

Understand the emergence of hadronic matter from quarks and gluons

(how does E = Mc2 work to create pions and nucleons?)

+ Hunting for the unseen forces of the universe?

Page 38: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Gluons in Nuclei

NOTHING!!!• Large uncertainty in gluon distributions• need range of Q2 in shadowing region, x ~ 10-2-10-3 sEIC = 1000+

+ Transverse distribution of gluons on nuclei from coherent Deep-Virtual Compton Scattering and coherent J/ production

• What do we know about gluons in a nucleus?

[Measurements at DESY of diffractive channels (J/, , , ) confirmed the applicability of QCD factorization:

t-slopes universal at high Q2 & flavor relations : holdGluon radius of a nucleus?

Ratio of gluons in lead to deuterium

Page 39: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

E772

Drell-Yan: Is the EMC effect a valence quark phenomenon or are sea quarks involved?

Sea-Quarks in NucleiTremendous opportunity for experimental improvements!

0.5

1.0

gluonssea

valence

0.1 1.0

S. Kumano, “Nuclear Modification of Structure Functions in Lepton Scattering,” hep-ph/0307105

x

RCa

Use combination of FLA & F2

A measurements, EW measurements, ‘flavor tagging’, etc.

Page 40: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Unresolved Questions in Nuclei

x

F 2A/F

2D

• F2 structure functions, or quark distributions, are altered in nuclei• ~1000 papers on the topic; the best models explain the curve by change of nucleon structure - BUT we are still learning (e.g. local density effect) – and 12 GeV optimal to attack the valence region.

12 GeV

EIC:• Is shadowing a leading- or higher-twist phenomenon?• What is the dynamical origin of anti-shadowing?

Page 41: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Science of an (M)EIC

Or, Elevator-Talk EIC science goals:Map the spin and spatial structure of quarks and gluons in

nucleons (show the nucleon structure picture of the day…)

Discover the collective of gluons in atomic nuclei (without gluons there are no protons, no neutrons, no atomic nuclei)

Understand the emergence of hadronic matter from quarks and gluons

(how does E = Mc2 work to create pions and nucleons?)

+ Hunting for the unseen forces of the universe?

Page 42: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Hadronization un-integrated parton distributions

current fragmentation

target fragmentation

Fragmentation from

QCD vacuum

+

-

EIC: Understand the conversion of quarks and gluons to hadrons through fragmentation and breakup

EIC: Explore the interaction of color

charges with matter

Page 43: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Transverse Momentum Broadening

pT2 reaches a “plateau” for sufficiently large quark

energy, for each nucleus (L is fixed).

pT2

In the pQCD region, the effect is predicted to disappear (arbitrarily put at =1000)

Page 44: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Hadronization

EIC: Explore the interaction of color charges with matter

EIC: Understand the conversion of quarks and gluons to hadrons through fragmentation and breakup

(1 month only)

Page 45: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

EIC RealizationFrom Hugh Montgomery’s presentation at the INT10-03 Program in Seattle

Assumes endorsement for an EIC at the next ~2012/13 NSAC Long Range Plan

Page 46: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

SummaryThe last decade+ has seen tremendous progress in our understandingof the partonic sub-structure of nucleons and nuclei, due to:• Findings at the US nuclear physics flagship facilities: RHIC and CEBAF• The surprises found at HERA (H1, ZEUS, HERMES), and now COMPASS/CERN.• The development of a theory framework allowing for a revolution in our understanding of the inside of hadrons … GPDs, TMDs, Lattice QCD• … hand in hand with the stellar technological advances in polarized beam and parity-quality electron beam delivery.

This has led to new frontiers of nuclear science:- the possibility to truly explore and image the nucleon- the possibility to understand and build upon QCD

and study the role of gluons in structure and dynamics

- the unique possibility to study the interaction of color-charged objects in vacuum and matter, and their conversion to hadrons

- utilizing precision electroweak studies to complement direct

searches for physics beyond the Standard Model

We have unique opportunities to make a (future textbook) breakthrough in nucleon structure and QCD

dynamics.

Page 47: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

EIC is intended to create and study gluons, which bind subatomic particlesEinstein’s famous equation, E = mc2, predicts that small amounts of mass can be transformed into large amounts of energy. Although we have demonstrated this prediction and its practical applications, the truth is that we do not yet understand how the process works – the underlying mechanisms by which mass is transformed into energy and vice versa. EIC will allow scientists to tackle this very fundamental question in physics.

Page 48: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Appendix

Page 49: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

EIC@JLab High-Level Science Overview

12 GeV

• Hadrons in QCD are relativistic many-body systems, with a fluctuating number of elementary quark/gluon constituents and a very rich structure of the wave function.

• With 12 GeV we study mostly the valence quark component, which can be described with methods of nuclear physics (fixed number of particles).

• With an (M)EIC we enter the region where the many-body nature of hadrons, coupling to vacuum excitations, etc., become manifest and the theoretical methods are those of quantum field theory. An EIC aims to study the sea quarks, gluons, and scale (Q2) dependence.

Page 50: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Transverse-Momentum Dependent

Parton Distribution

s

Generalized Parton

Distributions

u(x)u, u

F1u(t)

F2u,GA

u,GPu

f1(x)g1, h1

Parton Distributions

Form Factors

d2k

T

dx

= 0, t = 0

Wu(x,k,r)

GPDu(x,,t) Hu, Eu, Hu, Eu

~~

p

m

BGPD

d2k

T

Link to Orbital

Momentum

Towards a “3D” spin-flavor landscape

Want PT > but not too large!

Link to Orbital

Momentum

p

m

xTMD

d3 r

TMDu(x,kT) f1,g1,f1T ,g1T

h1, h1T , h1L , h1

(Wigner Function)

Page 51: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

E00-108: Onset of the Parton Model

1R*4

R4

D

D

π

π

N

NR

(Resonances cancel (in SU(6)) in D-/D+ ratio extracted from deuterium data)

(Deuterium data)

quark

Collinear Fragmentation

factorization

eq2q(x) Dq

(z)

Page 52: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

So what about R = L/T for pion electroproduction?

quark

“Semi-inclusive DIS”

RSIDIS RDIS disappears with Q2!

“Deep exclusive scattering” is the z 1 limit of this “semi-inclusive DIS” processHere, R = L/T ~ Q2 (at fixed

x)

Have no idea at all how R will behave at large pT

Example of 12-GeV

projected data

assuming R

SIDIS =

RDIS

Not including a comparable systematic uncertainty: ~1.6%

Planned scans in z at Q2 = 2.0 (x = 0.2) and 4.0 GeV2 (x = 0.4) should settle the behavior of L/T for large z.Planned data cover range Q2 = 1.5 – 5.0 GeV2, with data for both H and D at Q2 = 2 GeV2

eq2q(x) Dq

(z)

Planned data cover range in PT up to ~ 1 GeV. The coverage in is excellent (o.k.) up to PT = 0.2 (0.4) GeV.

Page 53: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Model PT dependence of SIDISGaussian distributions for PT dependence, no sea quarks, and leading order in (kT/q)

Inverse of total width for each combination of quark flavor and fragmentation function given by:

And take Cahn effect into account, with e.g. (similar for c2, c3, and c4):

Page 54: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

C1i 2gAe gV

i

C2i 2gVe gA

i

A

V

V

A

The couplings g depend on both electroweak physics and the weak vector and axial-vector hadronic current, and are

functions of sin2w

(gAegV

T +

gVegA

T)

Parity-Violating AsymmetriesWeak Neutral Current (WNC) Interactions at Q2 << MZ

2

Longitudinally Polarized Electron Scattering off Unpolarized Fixed Targets

Mid 70s goal was to show sin2w was the same as in scattering1990-2010 target couplings probe novel aspects of hadron structureOngoing precision measurements with carefully chosen kinematics to probe new physics at multi-TeV high energy scales

Page 55: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

QCD and the Origin of Mass

99% of the proton’s mass/energy is due to the self-generating gluon field

– Higgs mechanism has almost no role

here.

The similarity of mass between the proton and neutron arises from the fact that the gluon dynamics are the same

– Quarks contribute almost nothing.

Page 56: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Gluons and QCD• QCD is the fundamental theory that describes structure and

interactions in nuclear matter.• Without gluons there are no protons, no neutrons, and no

atomic nuclei• Gluons dominate the structure

of the QCD vacuum

• Facts:– The essential features of QCD (e.g. asymptotic freedom, chiral

symmetry breaking, and color confinement) are all driven by the gluons!

– Unique aspect of QCD is the self interaction of the gluons– 99% of mass of the visible universe arises from glue– Half of the nucleon momentum is carried by gluons

Page 57: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Where does the spin of the proton originate? (let alone other hadrons…)

The Standard Model tells us that spin arises from the spins and orbital angular momentum of the quarks and gluons:

½ = ½ + G + L• Experiment: ≈ 0.3• Gluons contribute to much of the mass and ≈ half of the momentum of the proton, but…• … recent results (RHIC-Spin, COMPASS@CERN) indicate that their contribution to the proton spin is small: G < 0.1?(but only in small range of x…)

• Lu, Ld, Lg?

Page 58: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

The Gluon Contribution to the Proton Spin

at small x

Superb sensitivity to g

at small x!

Page 59: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case
Page 60: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

What’s the use of GPDs?

2. Describe correlations of quarks/gluons

4. Allows access to quark angular momentum (in model-dependent way)

1. Allows for a unified description of form factors and parton distributions

gives transverse spatial distribution of quark (parton) with momentum fraction x

Fourier transform in momentum transfer

x < 0.1 x ~ 0.3 x ~ 0.8

3. Allows for Transverse Imaging

Page 61: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

GPDs and Transverse Gluon ImagingGoal: Transverse gluon imaging of nucleon over wide range of x: 0.001 < x < 0.1Requires: - Q2 ~ 10-20 GeV2 to facilitate interpretation

- Wide Q2, W2 (x) range - luminosity of 1033 (or more) to do differential measurements in Q2, W2, t

Q2 = 10 GeV2 projected data

Simultaneous data at other Q2-values

EIC enables gluon imaging!

(Andrzej Sandacz)

Page 62: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Single-Spin Asymmetry Projections with Proton

• 11 + 60 GeV 36 days L = 3x1034 /cm2/s 2x10-3 , Q2<10 GeV2

4x10-3 , Q2>10 GeV2

• 3 + 20 GeV 36 days L = 1x1034/cm2/s 3x10-3 , Q2<10 GeV2

7x10-3 , Q2>10 GeV2

Polarization 80%Overall efficiency 70%

z: 12 bins 0.2 - 0.8PT: 5 bins 0-1 GeV

φh angular coverage incudedAverage of Collins/Sivers/Pretzelosity projectionsStill with θh <40 cut, needs to be updated

(Also π-)

Page 63: The Frontiers of Nuclear Science: from 12 GeV to EIC Rolf Ent INT10-03 Program, Institute for Nuclear Theory, Seattle, WA Workshop on “The Science Case

Electron-Ion Collider – Roadmap• EIC (eRHIC/ELIC) webpage: http://web.mit.edu/eicc/• Weekly meetings at both BNL and JLab

• Wiki pages at http://eic.jlab.org/ & https://wiki.bnl.gov/eic• EIC Collaboration has biannual meetings since 2006

• Last EIC meeting: July 29-31, 2010 @ Catholic University, DC

• INT10-03 program @ Institute for Nuclear Theory ongoing spin, QCD matter, imaging, electroweak Sept. 10 – Nov. 19,

2010• Periodic EIC Advisory Committee meetings (convened by BNL & JLab)

After INT10-03 program (2011 – next LRP)• need to produce single, community-wide White Paper

laying out full EIC science program in broad, compelling strokes • and need to adjust EIC designs to be conform accepted energy-

luminosity profile of highest nuclear science impact• followed by an apples-to-apples bottom-up cost estimate comparison

for competing designs, folding in risk factors• and folding in input from ongoing Accelerator R&D, EICAC and community