1. Transverse momentum distributions and nuclear effects
11th APCTP-BLTP JINR-PINP NRC KI-SPbSU Joint Workshop
"Modern problems in nuclear and elementary particle physics"
L. Kaptari
(BLTh, Dubna)
Transverse momentum distributions and nuclear effects
with
24-28 July 2017
Petergof, St. Petersburg, Russia

2. Wpu(x,k,r) “Parent” Wigner distributions
INTRODUCTION
The experimental study of the nucleon structure in terms of its constituents, quarks and gluons, is one of the main research programs followed by many scientific collaborations (HERMES, COMPASS, BELLE, BaBar, BESIII, JLab, as well as the RHIC and LHC experiments).
More specifically, the study of the TMD and GPD offers new insights on the nucleon, giving access for the first time to a 3-dimensionnal information about its structure.
Wigner distribution: “density” for quarks having position r and 4-momentum k
PDFs fpu(x),…
FFs :F1pu(t),F2pu(t)..
TMD PDFs: fpu(x,kT),..
d2kT
x=0,t=0 dx
Wpu(x,k,r) “Parent” Wigner distributions
d3r
GPDs: Hpu(x,x,t), …

3. “Standard” SIDIS p
L.P. Kaptari

4. Eight (Leading-Twist ) Quark Distributions Probed in SIDIS
Unpolarized
Transversity
Polarized target
Sivers
Polarzied beam and target
SL and ST: Target Polarizations; λe: Beam Polarization
L.P. Kaptari

5. KINEMATICS
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6. Single Spin Asymetry
HERMES, COMPASS, JLAB
L.P. Kaptari

7. “Kaon puzzle” ? Strong dependence on flavor and sea quarks.
Needs for neutron targets !!!!

8. polarized 3He
10 %
90 %
PWIA
Single Target-Spin Asymmetry in Semi-Inclusive p Electroproduction on a Transversely Polarized 3He Target (JLAB, E03-004(010,011), EPJ Plus, 126 (2011) 2)

9. L.P. Kaptari

10. 3He (AV18)
L.P. Kaptari

11. L.P. Kaptari

12. PWIA and Sivers and Collins Asymetries
A realistic spin-dependent spectral function of 3He within the AV18 interaction and w.f. by the Pisa group (A. Kievsky et al., NPA 577, 511 (1994). )
Parameterizations of data for pdfs and fragmentation functions whenever available
Models for the unknown pdfs and fragmentation functions.
full – “free” neutron (input)
dot - extracted without prt
dash – extracted with dilution
factors
L.P. Kaptari

13. FACTORIZATION
etc
M. Alvioli, CdA & LPK PRC 81 (Rapid Comm.) (2010) 02100;
CdA &LPK Phys.Rev.Lett. 100 (2008) ;

14. SIDIS and FSI-EFFECTs
Color string model + gluon radiation (Lund model)
L.P. Kaptari

15. Neutron Spin SF (AV18) PWIA FSI
At low and moderate removal energies (E < MeV) and low intrinsic momenta
(Pmis ~ 200 MeV/c) a) PWIA + GEA (with factorization) ~ PWIA ; b) at higher E and Pmis the FSI effects become more important (even predominant), however the Spectral Functions here are rather small
Since in SIDIS processes one integrates over E and Pmis (from 0 to infinity) the PWIA + GEA can be still adequate to extarct information on quasi-free neutron from nuclear experiments

16. NEUTRON
PROTON
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17. DILUTION FACTORS
PWIA:
FSI:
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19. Extracted Asymmetries
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20. SUMMARY

21. Backup slides

22. L.P. Kaptari

23. TMDs program @ 12 GeV in Hall B
PAC approved experiments & LoI N q U L T
E : Pion SIDIS
E : Kaon SIDIS
E : Pion SIDIS
E : Kaon SIDIS
LOI : Pion SIDIS
LOI : Kaon SIDIS
Complete program of TMDs studies for pions and kaons
Kaon measurements crucial for a better understanding of the TMDs “kaon puzzle”
Kaon SIDIS program requires an upgrade of the CLAS12 detector PID  RICH detector to replace LTCC
Project under development
H. Avakian, Trento, Oct 11

24. X Tagging the Nucleon Structure in the “Spectator” SIDIS
A=D
Deeps(BONUS)
CLAS, PRC89 (2014) 4, ,
PRC90 (2014) 5,

25. Leading-Twist Quark Distributions
( A total of eight distributions)
No K┴ dependence
K┴ - dependent, T-even
K┴ - dependent, T-odd
L.P. Kaptari

26. RELATIVISTIC EFFECTS ?
C. Ciofi degli Atti, L. P.K., S. Scopetta, EPJA 5 (1999) 191; PRC 83 (2011) ,;
C. Ciofi degli Atti, L.P.K. , B. Kopeliovich, EPJ A19, (2004), 133 C. Ciofi degli Atti, L. P.K., and
C. Mezzeti Fizika B20 (2011) 161
CLAS, Phys.Rev. C89 (2014) 4, , Phys.Rev. C90 (2014) 5,
L. P.K., A. Del Dotto, E. Pace, G. Salm`e, S.Scopetta., PRC 89 (2014)
L.P. Kaptari

27. Tagging the Nucleon Structure in the “Spectator” SIDIS
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28. Tagging the Hadronization Mechanism
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29. Tagging the Spin Dependent Spectral Function
L. P.K., A. Del Dotto, E. Pace, G. Salm`e, S.Scopetta., PRC 89 (2014)
AV18
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30. The Parallel (along the target polarization)
BLTPh, JINR
The Parallel (along the target polarization)
Spin Dependent Spectral Function PII (pmis,qmis)
AV18
AV18
L.P. Kaptari

31. Tagging the EMC-effect
C. Ciofi degli Atti, L. P.K., S. Scopetta, EPJA 5 (1999) 191; CdA, LPK, PRC 83 (2011) ,;

33. M. Alvioli, CdA & LPK PRC 81 (Rapid Comm. ) (2010) 02100, R
M. Alvioli, CdA & LPK PRC 81 (Rapid Comm.) (2010) 02100, R. Schiavilla et al, PRC (2005),

36. Results from q.e. 3He(e,e’)pD, 3He(e,e’)ppn
How “good” is the PWIA approximation?
Results from q.e. 3He(e,e’)pD, 3He(e,e’)ppn
CdA & LPK, PRL 95, (2005), R. Schiavilla et al, PRC (2005), L. Frankfurt, M. Sargsian, M. Strikman Int. J.Mod. Phys. A23 (2008) 2291
M.M. Rvachev et al., PRL 94(2005)

37. Exact factorization & the nuclear spectral function
BLTPh, JINR n p m g Q2
AV18 p m X m m p
Exact factorization & the nuclear spectral function
CdA & LPK Phys.Rev. C66 (2002)
many-body problem
June 27-July 4, 2015, Almaty, Kazkhstan

38. q.e. 3He(e,e’)pD PG INFN Bogoliubov Lab. Theor. Phys., JINR, Dubna
8-12 June, 2015

39. Bogoliubov Lab. Theor. Phys.,
JINR, Dubna
PG INFN
Multiple Scattering Contributions CdA & LPK, PRL 95, (2005), R. Schiavilla et al, PRC (2005)
PWIA
Double
Single
dσ(pm) has different (three) slopes
different Multiple Scattering Components
JLAB, 17 Apr. 2013

40. JLAB, 17 Apr. 2013

41. Bogoliubov Lab. Theor. Phys.,
JINR, Dubna
PG INFN
JLAB, 17 Apr. 2013

42. 3bbu JLAB 89084 PG INFN Bogoliubov Lab. Theor. Phys., JINR, Dubna
CdA & LPK, PRL 95, (2005), L. Frankfurt, M. Sargsian, M. Strikman Int. J.Mod. Phys. A23 (2008) 2291

43. Bogoliubov Lab. Theor. Phys.,
JINR, Dubna
PG INFN
8-12 June, 2015

44. The Spin Dependent Spectral Function
“II” means along SA