Sivers distribution functions of sea quark in proton with 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 valence $\bar{q}$ distribution in $\pi$ from the recent fit, the sea quark Sivers function in proton is obtained. We find reasonable numerical results for the first momentum $x{\Delta }^N{f}_{\bar{q}}^{(1)}(x)$ without any fine tuning of the free parameters.

7 pages, 4 figures

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Cited by in corpus (5)

• Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Extraction of the Sivers function with deep neural networks
• Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory
• Helicity-dependent distribution of strange quarks in the proton from nonlocal chiral effective theory