Report at the 101st Session

of the JINR Scientific Council

January 18 – 19, 2007

V.V. Voronov

Fields and Particles D.Kazakov, O.Teryaev

Nuclear Theory V.Voronov, R.Jolos

Theory of Condensed Matter N.Plakida, V.Priezzhev

Modern Mathematical Physics A.Filippov, A.Isaev

Dubna International Advanced Schoolof Theoretical Physics (DIAS-TH) A.Filippov, A.Sorin

Scientific Personnel as of 25.12.2006

D C O S Total

Fields and Particles 25 24 8 8 65

Nuclear Theory 24 16 9 6 55

Theory of Condensed Matter 12 17 2 6 37

Modern Mathematical Physics 7 10 4 5 26

Total 68 67 23 25 183Comment: D - doctor, C - candidate, O - without degree, S - postgraduate student

Fields and Particles(projects)

• Standard Model and its extensions Leaders: D.Kazakov, E.Kuraev

• QCD parton distributions for modern and future colliders Leaders: D.Shirkov, A.Efremov, O.Teryaev,

•  Physics of heavy and exotic hadrons Leaders: A. Dorokhov, M. Ivanov 

• Mixed phase in heavy-ion collisions Leaders: A.Sissakian, D.Blaschke, A.Sorin

SEARCH FOR GLUINOS WITH ATLAS AT LHC

V. A. Bednyakov, J. A. Budagov, A. V. Gladyshev, D. I. Kazakov, G. D. Khoriauli, D. I. Khubua, JINR-E1-2006-97, hep-ex/0608060, to appear in PEPAN Lett. (2006)

Study of the process of pair gluino production and decay.

Gluino decays have a clear signature (4 μ + 4 jets + large missing PT + + up to 4

secondary vertices) and can be detected with ATLAS.

The expected number of events for ATLAS after 1 year of running with LHC luminosity 1034 cm-2s-1 is 150

NLO QCD method of the NLO QCD method of the polarized Semi-Inclusive Deep Inelastic Scattering (SIDIS)polarized Semi-Inclusive Deep Inelastic Scattering (SIDIS)

data analysisdata analysis: HERMES (DESY), COMPASS (CERN), E04-113 (JLAB)

A. Sissakian, O. Shevchenko, O. Ivanov

Phys. Rev. D73 (2006) 094026

Measured SIDIS asymmetries

Measured SIDIS asymmetries

NLO extraction method

NLO extraction method

1 1

1

,u d

s

1 1

1

,u d

s

2( )nq Q 2( )nq QModified Jacobi polynomial Expansion Method (MJEM)

Modified Jacobi polynomial Expansion Method (MJEM)

2( , )q x Q 2( , )q x Q

• Simple and transparent formalism

• Direct method (no model assumptions!)

'l N l h X

Results of HERMES data analysis on pion production

Hard exotics: Theoretical Interpretation of L3 data at LEP on neutral and charged rho’s production in collisions of virtual and real photons. Observation: Q dependence of charged/neutral ratio

Large Q Small Q

have peaks in the region for both large and

small Q.

The L3 data can be described by exotical 4–quarks isotensor resonance (higher twist 4) which can explain the Q-suppression.

and

Exploring hard exotics in QCD

• The QCD fit of L3 data is compatible with the existence of isotensor (I=2) four-quark exotic meson with mass: 1.5 GeV width: 0.4 GeV

neutral – redcharged - blue

I.V. Anikin, B. Pire, L. Szymanowski, O.V. Teryaev, S. WallonXXXIII International Conference on High Energy Physics, July 26 - August 2, Moscow

Hadronic Distribution Amplitudes of Photon in the Instanton Model

A.E. Dorokhov, W. Broniowski (Krakow) and E. Ruiz Arriola (Granada), PhysRevD 2006

Leading twist 2 Photon Distribution Amplitude:

( ) ( )m0 , T

qq z z z q z q ie q e q e q zqq

Magnetic susceptibility of quark condensate

q2 =0.25 GeV2 solid line VIRTUAL photonq2 =0 GeV2 dashed line REAL photon

q2 =-0.09 GeV2 short-dashed line

asymptotic DA dotted line

Search for the Mixed Phase of Strongly Interacting Matter

 

  

During the last year and a half possible search for a mixed phase of strongly interacting

matter at the Nuclotron is widely discussed at JINR. The discussion was initiated by a

group of theorists of the Bogoliubov Laboratory of Theoretical Physics in the mid-2004

and already in July, 2005 the first Round Table Discussion “Searching for a Mixed

Phase of Strongly Interacting Matter at the JINR Nuclotron” was carried out with

outside experts invoked.

With the aim of a more detailed discussion of a wide range of questions on 6-7

October, 2006 the JINR hosted a meeting of experts in a format of the second Round

Table “Searching for a Mixed Phase of Strongly Interacting Matter at the JINR

Nuclotron: Nuclotron Facility Development” (see

http://theor.jinr.ru/meetings/2006/roundtable/);

The main topics of investigations includeThe main topics of investigations include:

Nuclear structure far from stability valleyNuclear structure far from stability valley

Nucleus-nucleus collisions and nuclear properties Nucleus-nucleus collisions and nuclear properties at low energiesat low energies

Exotic few-body systemsExotic few-body systems

Nuclear Nuclear structurestructure andand dynamics at relativistic energiesdynamics at relativistic energies

5 [512] _______________2

pseudospin doublet with 3

7 [514] _______________2

1 [521] _______________ 0 pseudospin singlet2

101 103Z

Efimov Effect

Theoretically predicted by Vitaly Efimov more than 35 years ago [Phys. Lett. B 33 (1970) 563]: A system consisting of three particles, none of whose two-body subsystems is stable, can, under certain circumstances, produce an infinite number of bound energy levels.

Efimov States

Observation of the Efimov resonance in measurements of three-body recombination as a function of the scattering length

Efimov-type Properties of Three-Atomic Helium System ab initio Faddeev calculations

[E.Kolganova, A.Motovilov, W.Sandhas, Few-Body Systems, 38 (2006) 205]

Efimov State4He2 a2sc= 100 Å

Eb=1,3 mK

Egs=126 mK

asc= 115 ,5 ÅE*=2,3 mK

4He3

[E.Kolganova, A.Motovilov, W.Sandhas, to appear in Nucl.Phys.A]

( ) ( )HFD BV x V x

4He3 E*→0E**→0

asc3He-4He2

4He-4He2

S-wave helium atom--helium dimer phase shifts obtained with the LM2M2 potential. The points correspond to an alternative calculation by Roudnev. The normalization δ(0) = 0 is used.

Continuum spectroscopy of two-neutron halo nucleiContinuum spectroscopy of two-neutron halo nuclei

S.N. Ershov, B.V. Danilin, J.S. Vaagen ( Phys. Rev. C74 (2006) 014603 )

0.0 0.5 1.00

1

2

0+

1-

2+

Wp

h (

En

n /

E

)

Enn

/ E

1 < E < 3 MeV

0.0 0.5 1.00

1

2

1 < E < 3 MeV

0+

1-

2+

Wp

h (

EC

n /

E

)

ECn

/ E

-1 0 10.0

0.5

1.0

0+

1-

2+

W (

co

s n

n )

cos (nn

)

-1 0 10.0

0.5

1.0

0+1-

2+

W (

co

s C

n)

cos (Cn

)

L.V. Chulkov et al., Nucl. Phys. A759, 23 (2005)■

n n

C

xyxyn nx

C

yxy

Theoretical analysis of various angular and energy correlations of the three fragments in 6He breakup on 208Pb at collision energy 240 MeV / nucleon have been performed. The analysis has been based on a microscopic four-body distorted wave approach to breakup reactions and uses the three-body model for the nuclear structure of the two-neutron Borromean halo nucleus 6He.

6He + A → n→ n11 + n + n22 + + 44He + A’He + A’

The kinematically complete breakup reactionThe kinematically complete breakup reaction

Correlations between fragmentsin different Jacobi coordinate systems

THEORY OF CONDENSED MATTER

Physical properties of complex materials and nanostructures

Mathematical problems of many-particle systems

Angle-Resolved PhotoEmission Spectroscopy (ARPES) has revealed non-Fermi-liquid properties of cuprate superconductors

“Destruction” of Fermi surface: “arc” FS

“Kink” phenomenon

A. Lanzara, et al., Nature 412 (2001)

Ca2–xNaxCuO2Cl2

K. M. Shen, Science 307 901 (2005).

Electron dispersion at the Fermi energy: E(k) = vF (k-kF ), vF = vF0 /(1 + λ) ,

Theory of electronic spectra in strongly correlated electronic system

We have developed a macroscopic theory which explained ARPES results for cuprates superconductors:

Electron dispersion Kink phenomena Arc-type FS

N.M.Plakida, V. Oudovenko: JETP, 2007, No.1

Low-energy electronic states in spherical and spheroidal fullerenes

The first positive electronic level for spheroidal fullerenes

The second positive electronic level for spheroidal fullerenes

D.V. Kolesnikov and V.A. Osipov, Eur. Phys. J. B 49, 465 (2006)

M.Pudlak, R. Pincak and V.A.Osipov,Phys. Rev. B 74, 235435 (2006)

Totally Asymmetric Exclusion Process

Applications to:

1. Hopping conductivity of superionic conductors

2. Queuing problems

3. Directed polymers in random medium

4. Traffic problems

An exact solution for particle motion is obtained within TAEP

In 2006, the following activities in the framework of DIAS-TH were:  

  Five Schools and Research Workshop;

  The regular seminars for students and

postgraduates were organized;

  Computer processing of video records

of lectures was continued;

  Web-site of DIAS-TH was supported.

ВLTP Research Personnel

0

5

10

15

20

25

30

35

20-25 26-30 31-35 36-40 41-45 46-50 51-55 56-60 61-65 66-70 71-75 76-80

Age

Nu

mb

er

PPRIORITY FOR 2007 

 Studies of Standard Model and its extensions with special emphasis on investigation of astrophysical constraints for new physics; QCD phenomenology, especially for spin-dependent and exclusive processes;Heavy-ion collisions, of special interest is a search for mixed phase of the strongly interacting matter;Supergravity, superstrings and cosmology;Nuclear structure far from stability valley and Nuclear astrophysics;Unconventional solids with anomalous physical properties; Studies of the electronic, magnetic, thermal and transport characteristics of various novel nanoscaled materials and nanostructures;Support of the JINR experimental programs; RRecruiting young researches to the Laboratory.