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In this talk I review studies of hadron structure functions in bosonized chiral quark models. Such models require regularization and I show that the two--fold Pauli--Villars regularization scheme not only fully regularizes the effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Weigel

We present a consistent regularization procedure for calculating hadron structure functions in a bosonized chiral quark model. We find that the Pauli-Villars regularization scheme is most suitable. We also summarize the phenomenology of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Leonard Gamberg , Herbert Weigel

We outline a consistent regularization procedure to compute hadron structure functions within bosonized chiral quark models. We impose the Pauli--Villars scheme, which reproduces the chiral anomaly, to regularize the bosonized action. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , L. Gamberg

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Ruiz Arriola

In these lectures the three flavor soliton approach for baryons is reviewed. Effects of flavor symmetry breaking in the baryon wave--functions on axial current matrix elements are discussed. A bosonized chiral quark model is considered to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Herbert Weigel

We provide a consistent regularization procedure for calculating hadron structure functions in a chiral quark model. The structure functions are extracted from the absorptive part of the forward Compton amplitude in the Bjorken limit. Since…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , E. Ruiz Arriola , L. Gamberg

We describe the formation of solitons in NJL-type models and discuss the influence of the regularization scheme on the stability of the solution. We concentrate on models with non-local regulators in which stable solutions exist without…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Golli , W. Broniowski , G. Ripka

Nucleon structure functions are studied within the chiral soliton approach to the bosonized Nambu-Jona-Lasinio model. The valence quark approximation is employed which is justified for moderate constituent quark masses ($\sim$ 400 MeV) as…

High Energy Physics - Phenomenology · Physics 2016-09-01 H. Weigel , L. Gamberg , H. Reinhardt

We give a survey of recent development and applications of the chiral quark soliton model (also called the Nambu-Jona-Lasinio soliton model) with $N_f$=2 and $N_f$=3 quark flavors for the structure of baryons. The model is an effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 Teruaki Watabe , Klaus Goeke

We outline and review the computations of polarized and unpolarized nucleon structure functions within the bosonized Nambu-Jona-Lasinio chiral soliton model. We focus on a consistent regularization prescription for the Dirac sea…

High Energy Physics - Phenomenology · Physics 2021-01-12 Herbert Weigel , Ishmael Takyi

A chiral quark model is described which is regularized in terms of Lorentz invariant non-local interactions. The model is regularized to all loop orders and it ensures the proper quantization of the baryon number. It sustains bound hedgehog…

High Energy Physics - Phenomenology · Physics 2009-10-31 Georges Ripka , Bojan Golli

We investigate higher baryon-number states in the Chiral Quark Soliton Model using the rational map ansatz for the background chiral fields. The soliton solutions are obtained self-consistently. We show that the baryon number density has…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Sawado , N. Shiiki , S. Oryu

In the framework of chiral soliton models we study the behavior of static nucleon properties under rescaling of the parameters describing the effective meson theory. In particular we investigate the question of whether the Brown--Rho…

Nuclear Theory · Physics 2008-11-26 M. Harada , F. Sannino , J. Schechter , H. Weigel

We study polarized-spin structure functions of the nucleon within the bosonized Nambu-Jona-Lasinio model where the nucleon emerges as a chiral soliton. We present the electromagnetic polarized structure functions, $g_{1}(x)$ and $g_{2}(x)$…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Weigel , L. Gamberg , H. Reinhardt

Generalizing quantum chromodynamics (QCD) from three to arbitrarily many color degrees of freedom suggests that baryons can be described as solitons in an effective meson theory whose interaction strength decreases with the number of…

High Energy Physics - Phenomenology · Physics 2025-08-19 Herbert Weigel

We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the…

High Energy Physics - Phenomenology · Physics 2019-08-23 I. Takyi , H. Weigel

The Pauli-Villars regularization scheme is often used for evaluating parton distributions within the framework of the chiral quark soliton model with inclusion of the vacuum polarization effects. Its simplest version with a single…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Kubota , M. Wakamatsu , T. Watabe

The computation of nucleon structure functions within the Nambu-Jona-Lasinio chiral soliton model is outlined. After some technical remarks on the issue of regularization numerical results for the both unpolarized and polarized structure…

High Energy Physics - Phenomenology · Physics 2009-10-31 Herbert Weigel

After a pedagogical review of the simple constituent quark model and deep inelastic sum rules, we describe how a quark sea as produced by the emission of internal Goldstone bosons by the valence quarks can account for the observed features…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ling-Fong Li , T. P. Cheng

There is a prejudice that the chiral soliton model of baryons is something orthogonal to the good old constituent quark models. In fact, it is the opposite: the spontaneous chiral symmetry breaking in strong interactions explains the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Dmitri Diakonov
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