On the Structure Functions of Mesons and Baryons in a Chiral Quark Model

TL;DR

This paper explores the calculation of structure functions in the chiral quark model, emphasizing the importance of regularization procedures for accurate scaling and sum rule fulfillment in the nucleon modeled as a soliton.

Contribution

It demonstrates the critical role of regularization in the Nambu-Jona-Lasinio model for obtaining correct scaling and sum rules in structure function calculations.

Findings

Proper regularization ensures exact scaling in the Bjorken limit.

Quark model calculations have limitations related to their general validity.

Handling of regularization affects the fulfillment of sum rules.

Abstract

This research summarizes work done by myself (Nucl.Phys.{\bf A641} (1998)461), or in collaboration with R. M. Davidson (Phys.Lett.{\bf B348}(1995)163) and H. Weigel and L. Gamberg (Nucl.Phys.{\bf B560}(1999)xx). I will discuss several topics related with the computation of structure functions in the quark model in general and its perturbative evolution. In particular, I address this topic in the Nambu-Jona-Lasinio model of hadrons, where the nucleon is constructed as a soliton. I show that the handling of the regularization procedure is crucial in order to obtain exact scaling in the Bjorken limit and fulfillment of sum rules. I also include some problems concerning the general validity of quark model calculations.