The constituent quark limit and the skyrmion limit of chiral quark soliton model

1995/05/24 by Michał Praszałowicz, M. Praszalowicz, A. Blotz +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0370-2693(95)00653-3

published as Phys.Lett. B354 (1995) 415-422 · One additional reference, 14 pages, latex, revtex, pictex

arxiv created 1995/05/24 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate g_A³ and g_A⁰ in the Chiral Quark-Soliton Model (or equivalently in semibosonized Nambu--Jona-Lasinio model) in the limit of small and large soliton size. In small soliton limit we recover the results of the Constituent Quark Model. The agreement between the two models is achieved due to the recently calculated 1/\Nc contributions to g_A³ and to g_A⁰. In the case of g_A³ these terms arise from the \it time-ordering of the collective operators. For large solitons simple scaling arguments show that the 1/\Nc contributions vanish with the inverse power of the soliton size.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I

Cited by

• Sigma-term form factor of the nucleon in the large-Nclimit