Abstract

We study the sea quark contributions to the electromagnetic form factors of $\Sigma$ baryons with nonlocal chiral effective theory. Both octet and decuplet intermediate states are included in the one loop calculation. $G_{\Sigma^{-}}^{u}$ and $G_{\Sigma^{+}}^{d}$ could be priority observables for the examination of sea quark contributions to baryon structure because these quantities are much larger than the strange form factors of nucleon. It will be less difficult for lattice simulation to determine the sign of these pure sea quark contributions unambiguously. In $\Sigma^0$, the light sea quark form factors $G_{\Sigma^{0}}^{u}$ and $G_{\Sigma^{0}}^{d}$ are identical. Since the light sea quark form factors in proton are different, it will be more meaningful to compare lattice result of the light sea quark form factors in $\Sigma^0$ with that obtained from effective field theory.

Highlights

  • Electromagnetic form factors of nucleons are among the most important observables of these building blocks of the ordinary matter in the Universe

  • The strange quark contribution to the nucleon electromagnetic form factors is of special interest because it is purely from the sea quark

  • For the sea quark form factors of proton, the light sea quark contributions obtained in nonlocal effective field theory (EFT) are quite different from the lattice results, though the strange quark contributions are comparable with each other [38,39,40]

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Summary

INTRODUCTION

Strange form factors of nucleons were investigated in various phenomenological models that give different predictions [12,13,14,15,16,17,18,19,20,21,22] They were studied in chiral perturbation theory (ChPT) or effective field theory (EFT) [23,24,25]. For the sea quark form factors of proton, the light sea quark contributions obtained in nonlocal EFT are quite different from the lattice results, though the strange quark contributions are comparable with each other [38,39,40]. The loop expressions of sea quark contributions are presented in the Appendix

NONLOCAL EFFECTIVE LAGRANGIAN
F Σ1þ ðqÞ
NUMERICAL RESULTS
SUMMARY
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