Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model

Mar, 2009
23 pages
Published in:
  • Phys.Rev.D 79 (2009) 094028
e-Print:
Report number:
  • OU-HET-625

Citations per year

2009201320172021202502468
Abstract: (arXiv)
We report the first calculation of the simplest but most fundamental transverse momentum dependent (TMD) distribution of quarks in the nucleon, i.e. the time-reversal-even unpolarized TMD quark and antiquark distribution with isoscalar combination, within the framework of the chiral quark soliton model. The nonperturbative account of the deformed Dirac-sea quarks within the theoretical scheme enables us to make a reliable predictions not only for the quark distribution but also for the antiquark distribution. We found that the predicted average transverse momentum square <k2><k_\perp^2> of quarks and antiquarks depends strongly on their longitudinal momentum fraction xx, which means that the frequently used assumption of factorization in xx and kk_\perp is significantly violated. It is also found, somewhat unexpectedly, that the average transverse momentum square of antiquarks is considerably larger than that of quarks.
Note:
  • 23 pages, 8 figures
  • 13.15.+g
  • 12.39.Fe
  • 12.38.Lg
  • 12.39.Ki
  • transverse momentum dependence
  • antiquark: distribution function
  • quark: distribution function
  • chiral quark soliton model
  • nucleon: model
  • time reversal