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arXiv · 0903.1886

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

M. Wakamatsu
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Abstract

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 $ $ of quarks and antiquarks depends strongly on their longitudinal momentum fraction $x$, which means that the frequently used assumption of factorization in $x$ and $k_\perp$ is significantly violated. It is also found, somewhat unexpectedly, that the average transverse momentum square of antiquarks is considerably larger than that of quarks.

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M. Wakamatsu. 2009-05-20. Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model. https://doi.org/10.1103/physrevd.79.094028

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