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Probing Short Range Structure Through the Tensor Asymmetry (T) at x>1Elena Long
Joint Hall A/C Collaboration Meeting
Jeff erson Lab
June 6 th, 2014
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Today’s Discussion
◦ Overview of Physics Motivation◦ Letter of Intent Measurement◦ Challenges◦ Opportunities◦ Summary
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Tensor Polarization For tensor polarization, need spin-1 particles
m = +½
m = -½
Spin-½System
m = -1
m = +1
m = 0
Spin-1System
Tensor polarization fillsthe m = 0 state
Animations by S.C. Pieper, et al, http://www.phy.anl.gov/theory/movie-run.html
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
J. Forest, et al, Phys. Rev. C 54, 646 (1996)
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Tensor Asymmetry
𝜎𝐷=𝜎𝐷𝑢 [1−𝑃 𝑧𝑃𝐵 𝐴∥+
12𝑃𝑧𝑧 𝐴𝑧𝑧 ]
𝜎𝐷=𝜎𝐷𝑢 [1+ 12 𝑃 𝑧𝑧 𝐴𝑧𝑧]
0 for unpolarized beam
𝐴𝑧𝑧=2𝑃 𝑧𝑧 [ 𝜎𝐷
𝜎𝐷𝑢 −1]
𝐴𝑧𝑧=2
𝑓 𝑑𝑖𝑙𝑃𝑧𝑧[ 𝑁𝑝𝑜𝑙
𝑁 𝑢𝑛𝑝𝑜𝑙
−1]
In DIS, same asymmetry used to extract
In elastic,
In quasi-elastic, no current or planned measurements before LOI submitted to PAC42
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Deuteron Wave Function◦ D-state dominance an on-
going issue in understanding the deuteron wave function
◦ In the high-momentum region (), tensor correlations dominate
◦ Size of D-state dominance differs between on NN potentials
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Connection toShort Range Correlations
Short range correlations caused by tensor force – why not probe it through tensor polarization?
N. Fomin et al., Phys. Rev. Lett. 108 (2012) 092505 L.L. Frankfurt et al., Int. J. Mod. Phys. A23 (2008) 2991-3055
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Frankfurt and Strikman Light Cone Calculations
◦ is the momentum-dependent S state◦ is the momentum-dependent D state
◦ Recent preliminary study indicates dependence on choice of NN potential
◦ M. Strikman and S. Liuti involved in further investigation
L.L. Frankfurt, M.I. Strikman, Phys. Rept. 76 (1981) 215
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Sargsian Light Cone and Virtual Nucleon Calculations
◦ At large , can probe relativistic effects in the deuteron
◦ calculated using two very different methods
◦ Light Cone◦ Calculations along the light-cone front◦ Similar to Frankfurt and Strikman
◦ Virtual Nucleon◦ Coordinates in the lab frame◦ Treats the interacting nucleon as virtual◦ Satisfies covariant equation of NN system with
spectator being on-shellM. Sargsian, Private Communication
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Joint Hall A/C Collaboration Meeting Elena Long <[email protected]> 10
Interest from Theorists
06/06/2014
M. Strikman and M. Sargsian have already been involved in providing calculations
“This is an important measurement. Accessing the large x region will provide insights on the partonic structure of the D-wave dominated deuteron tensor structure function, . This process should be calculated more thoroughly.” – S. Liuti
“This measurement was a highlighted need early at Jlab. A new measurement at higher would be very interesting. In principle such could test my model. I could calculate the influence of my 6-quark configurations on elastic scattering.” – G. Miller
“I hope to do some calculations soon and could easily do them for the kinematics in your proposal.” – W. Cosyn
W. Van Orden has agreed to look into tensor polarization observables at low using a variety of NN potentials
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Spokespeople:E. Long, K. Slifer, P. SolvignonUniversity of New Hampshire
D. HiginbothamJefferson Lab
D. Day, D. KellerUniversity of Virginia
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Rates for D(e,e’)X
◦ Used combination of P. Bosted and M. Sargsian code to calculate unpolarized cross sections
E. Long, Technical Note, JLAB-TN-13-029
Assumptions:
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
P.E. Bosted, V. Mamyan, arXiv:1203.2262M. Sargsian, Private CommunicationN. Fomin, et al., Phys. Rev. Lett. 108 (2012) 092502N. Fomin, et al., Phys. Rev. Lett. 105 (2010) 212502
Compared with data similar to Azz range
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Dilution Factor “…the background from interaction with nuclei increases as increases. For example, for a D12C target the ratio of the cross sections for A=12C and A=D is of the order of 40 for and increases with .” - L.L. Frankfurt, M.I. Strikman, Phys. Rept. 160 (1988) 235
With the 12 GeV upgrade and the new SHMS, this measurement becomes possible even with the low dilution factor at high
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Experimental Set-Up
SHMS
PolarizedTarget
HMS
SlowRaster
FastRaster
LumiFaraday
CupUnpolarized
Beam
SHMS
◦ Hall C◦ Identical equipment as (E12-13-011)
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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DNP Target◦ Identical target as (E12-13-011)
◦ JLab/UVa DNP target using modified Hall B magnet
◦ Dynamic Nuclear Polarization of ND3
◦ 5 Tesla at 1 K◦ 3cm Target Length
Figure courtesy of C. Keith
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Target Development in Progress◦ UVa Target Lab has successfully
polarized deuterated butanol in April
Courtesy of D. Keller
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
◦ UNH Target Lab is ramping up, first cool-down in January, successfully reached 7T
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Experimental Details◦ D(e,e’)X with 90nA beam current◦ Same equipment as C1-approved (E12-13-011) experiment
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Systematics Estimate
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Potential First Quasi-Elastic Measurements
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Challenges
◦ Large dilution◦ D(e,e’p) reduces the dilution factor, but also
reduces the acceptance◦ Tensor polarization of 30% not yet
achieved, but development is in progress◦ Can run at lower tensor polarization (), but
statistics are reduced◦ Needs further theoretical development to
fully utilize the measurements
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Opportunities◦ Very large asymmetry◦ Identical equipment as ◦ Less dependent on systematics than ◦ Potential to be used as commissioning to
get a better handle on the systematics◦ Direct access to the tensor component of
the deuteron, which is necessary to understand SRC
◦ Potential for parasitic measurement (needs development)
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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Tensor Asymmetry (T)◦ Direct access to the tensor contributions to
deuteron WF◦ Probes deuteron relativistic effects, NN
potentials, tensor contributions◦ Potentially probes 6-quark configurations,
(needs development)◦ Fills gap of tensor polarized scattering
measurements◦ Identical equipment as ◦ 30 PAC days measurement◦ Open for collaboration
06/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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2506/06/2014 Joint Hall A/C Collaboration Meeting Elena Long <[email protected]>
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28Tensor Spin Observables Workshop Elena Long <[email protected]>
Lower Tensor Polarization Pzz = 30%
03/11/2014
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29Tensor Spin Observables Workshop Elena Long <[email protected]>
Lower Tensor Polarization Pzz = 25%
03/11/2014
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30Tensor Spin Observables Workshop Elena Long <[email protected]>
Lower Tensor Polarization Pzz = 20%
03/11/2014
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Tensor Polarization Optimization
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UVA: 30% at 5.0T Born: 20% at 2.5T
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Tensor Polarization Measurement Vector optimize with microwaves
Fit peaks with convolution
Tensor optimize with RF
Measure change in peaks using Riemann Sum segments
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Ratio of instantaneous to initial NMR signal area
Percentage of initial peakshifted any time
(from reduced side)
Available tensor enhancement
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Brute Force Tensor Polarization When vector polarizing deuterium, some amount of tensor polarization occurs
Higher vector polarization Higher tensor polarization
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37Tensor Spin Observables Workshop Elena Long <[email protected]>
Cross Section Calculations - Deuterium
Compared with data similar to Azz range
03/11/2014
N. Fomin, et al., Phys. Rev. Lett. 108 (2012) 092502N. Fomin, et al., Phys. Rev. Lett. 105 (2010) 212502
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Cross Section Calculations - Carbon
Compared with data similar to Azz range
N. Fomin, et al., Phys. Rev. Lett. 108 (2012) 092502N. Fomin, et al., Phys. Rev. Lett. 105 (2010) 212502
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39Tensor Spin Observables Workshop Elena Long <[email protected]>
Cross Section Calculations - Deuterium
Compared with data similar to Azz range
03/11/2014
W.P. Shutz, et al., Phys. Rev. Lett. 38, 259 (1977)