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

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 $<k_{\perp }^2>$ 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.

The version to appear in Physical Review D

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Cited by in corpus (10)

• The transverse momentum dependent distribution functions in the bag model
• Flavor Structure of the Nucleon Sea
• Flavor dependence of unpolarized quark Transverse Momentum Distributions from a global fit
• The relation between TMDs and PDFs in the covariant parton model approach
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Transverse Momentum and Transverse Momentum Distributions in the MIT Bag Model
• Spin Orbit Correlations and the Structure of the Nucleon
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai