Published October 1988 | Version v1
Journal article

Chiral hyperbags

  • 1. CEA Centre d'Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique

Description

We construct and study SU(3) chiral bags (called chiral hyperbags) in the scheme of collective-coordinate quantization with chiral symmetry breaking treated as perturbation. We show how the Wess-Zumino constraint arises from the quark-bag sector, complementing the soliton sector, in a manner analogous to what happens in (1+1) dimensional chiral bags. Due to the Wess-Zumino term, all the quantum numbers - baryon charge, isospin, angular momentum, hypercharge etc. are fractionized in a prescribed manner. One notable aspect of the fractionization is that for all ranges of bag radius, there is always more angular momentum lodged in the soliton sector than in the quark sector. It is shown that within the scheme we have adopted, the symmetry breaking term obstructs the Cheshire Cat principle and that consequently when strange quarks are present, the baryons (i.e. hyperons) favor a bigger bag (say R > or approx. 1 fm) than non-strangy baryons; this confirms a phenomenological argument put forward some time ago by Brown, Klimpt, Rho and Weise (at least in the collective-coordinate scheme). Our approach allows us to calculate the strangeness content of the proton - a highly topical issue - and we find that while a perturbative treatment of the symmetry breaking term can be made to work (fog a big bag) for hyperon spectroscopy, the strangeness content of the proton is insensitive to the bag radius; for relevant ranges of bag radius, the anti ss admixture stays significant, say, > or approx. 19%. This result is in stark contrast to the Callan-Klebanov Skyrmion - a remarkably successful model for hyperons - which predicts only about 3%. A subtle role of the Wess-Zumino term is suggested. (orig.)

Additional details

Publishing Information

Journal Title
Z. Phys., A: At. Nuclei
Journal Volume
331
Journal Issue
2
Series
Z. Phys., A: At. Nuclei.
Journal Page Range
151-172
ISSN
0930-1151
CODEN
ZAANE