Sivers distribution functions of sea quarks in a proton with the chiral Lagrangian

Abstract

We propose a mechanism for the Sivers distribution function in proton with chiral Lagrangian. By introducing the gauge link of the vector meson, the transverse momentum dependent distribution of a pion in the nucleon is re-defined which is locally SU (2)V invariant as the Lagrangian. The eikonal propagator is generated from the gauge link and this scenario is proved to be equivalent to the final state interaction. By combining the calculated splitting function and the valenceq distribution in π from the recent fit, the sea quark Sivers function in proton is obtained. We find reasonable numerical results for the first momentum x∆ N f (1) q (x) without any fine tuning of the free parameters.

Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory

“…The obtained electromagnetic form factors and strange form factors of the nucleon are very close to the experimental data [25,26]. This nonlocal chiral effective theory was also applied to study the parton distribution functions and Sivers functions of the sea quarks in nucleons [27,28]. In addition, the nonlocal behavior is further assumed to be a general property for all the interactions and an example of this assumption is the application to the lepton anomalous magnetic moments [29].…”

Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory

“…The obtained electromagnetic form factors and strange form factors of nucleon are very close to the experimental data [25,26]. This nonlocal chiral effective theory was also applied to study the parton distribution functions and Sivers functions of sea quark in nucleon [27,28]. In addition, the nonlocal behavior is further assumed to be a general property for all the interactions and an example of this assumption is the application to the lepton anomalous magnetic moments [29].…”

Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory

“…The electromagnetic and strange form factors of the nucleon obtained in this approach have been found to be in excellent agreement with experiment up to values of the four-momentum transfer squared of ≈ 1 GeV 2 [41,42]. Recently, the method has also been applied to calculate the d − ū flavor asymmetry in the proton [52], the strange-antistrange PDF asymmetry s − s [53][54][55][56], and the sea quark Sivers function [57] in the proton.…”