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Title: Baryon spectrum in large N{sub c} chiral soliton and in quark models

Abstract

Strangeness contents of baryons are calculated within the rigid rotator model for arbitrary number of colors N{sub c}. The problem of extrapolation to realistic value N{sub c}=3 is noted, based on explicit calculations and comparison of the rigid rotator and rigid oscillator variants of the model. Some features of exotic baryon spectra ({l_brace}10{r_brace}, {l_brace}27{r_brace}, and {l_brace}35{r_brace}-plets of baryons) obtained in the chiral soliton approach can be understood in terms of simplified quark (4qq) wave functions. The effective mass of strange antiquark in different SU(3) multiplets of pentaquarks should depend on the particular multiplet, to link the predictions of soliton and quark models. The estimate of the 6{sub F} and 3{sub F} diquarks mass difference can be made from comparison with chiral soliton model results for masses of exotic baryons from different SU(3) multiplets. The masses of baryons partners with different values of spin J are also estimated.

Authors:
;  [1]
  1. Institute for Nuclear Research of RAS, Moscow 117312 (Russian Federation)
Publication Date:
OSTI Identifier:
20782993
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.73.094018; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON SPECTROSCOPY; BARYONS; CHIRAL SYMMETRY; CHIRALITY; COLOR MODEL; COMPARATIVE EVALUATIONS; EFFECTIVE MASS; EXTRAPOLATION; MASS DIFFERENCE; MULTIPLETS; OSCILLATORS; QUARKS; RESONANCE PARTICLES; SOLITONS; SPIN; STRANGENESS; SU-3 GROUPS; WAVE FUNCTIONS

Citation Formats

Kopeliovich, Vladimir B., and Shunderuk, Andrei M.. Baryon spectrum in large N{sub c} chiral soliton and in quark models. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.094018.
Kopeliovich, Vladimir B., & Shunderuk, Andrei M.. Baryon spectrum in large N{sub c} chiral soliton and in quark models. United States. doi:10.1103/PHYSREVD.73.094018.
Kopeliovich, Vladimir B., and Shunderuk, Andrei M.. Mon . "Baryon spectrum in large N{sub c} chiral soliton and in quark models". United States. doi:10.1103/PHYSREVD.73.094018.
@article{osti_20782993,
title = {Baryon spectrum in large N{sub c} chiral soliton and in quark models},
author = {Kopeliovich, Vladimir B. and Shunderuk, Andrei M.},
abstractNote = {Strangeness contents of baryons are calculated within the rigid rotator model for arbitrary number of colors N{sub c}. The problem of extrapolation to realistic value N{sub c}=3 is noted, based on explicit calculations and comparison of the rigid rotator and rigid oscillator variants of the model. Some features of exotic baryon spectra ({l_brace}10{r_brace}, {l_brace}27{r_brace}, and {l_brace}35{r_brace}-plets of baryons) obtained in the chiral soliton approach can be understood in terms of simplified quark (4qq) wave functions. The effective mass of strange antiquark in different SU(3) multiplets of pentaquarks should depend on the particular multiplet, to link the predictions of soliton and quark models. The estimate of the 6{sub F} and 3{sub F} diquarks mass difference can be made from comparison with chiral soliton model results for masses of exotic baryons from different SU(3) multiplets. The masses of baryons partners with different values of spin J are also estimated.},
doi = {10.1103/PHYSREVD.73.094018},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 73,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2006},
month = {Mon May 01 00:00:00 EDT 2006}
}
  • The chiral SU(3) Lagrangian with pseudoscalar and vector D mesons and with the octet and decuplet baryons is considered. The leading two-body counter terms involving two baryon fields and two D meson fields are constructed in the open-charm sector. There are 26 terms. A combined expansion in the inverse of the charm quark mass and in the inverse of the number of colors provides sum rules that reduce the number of free parameters down to 5 only. Our result shows the feasibility of a systematic computation of the open-charm baryon spectrum based on coupled-channel dynamics.
  • Two ideas have greatly contributed to our understanding of baryon structure in the framework of quantum chromodynamics. The first, that of chiral symmetry, received its fundamental justification from QCD and has been developed into the powerful technique of chiral perturbation theory. The other notion is the large-{ital N}{sub {ital c}} limit, namely, the behavior of QCD in the limit where there are a large number of colors. Like chiral symmetry, the large-{ital N}{sub {ital c}} limit predicts many relations between baryon matrix elements. These so-called {open_quote}{open_quote}model-independent{close_quote}{close_quote} predictions should agree with each other, but paradoxically that is not always the case.more » The paradox is resolved by recognizing that the two limiting processes (the chiral and large-{ital N}{sub {ital c}} limits) do not commute. This noncommutativity can be traced to the special role played by the {Delta} resonance in large-{ital N}{sub {ital c}} QCD. This gives rise to a new parameter in the effective theory of baryons. {copyright} {ital 1996 The American Physical Society.}« less
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  • The inconsistency between the rigid rotator and bound state models at an arbitrary number of colors, the rigid rotator-soft rotator dilemma, and some other problems of baryon spectroscopy are discussed in the framework of the chiral soliton approach (CSA). Consequences of the comparison of CSA results with simple quark models are considered and the 1/N{sub c} expansion for the effective strange antiquark mass is presented, as it follows from the CSA. Strong dependence of the effective strange antiquark mass on the SU(3) multiplet is required to fit the CSA predictions. The difference between 'good' and 'bad' diquark masses, which ismore » about 100 MeV, is in reasonable agreement with other estimates. Multibaryons (hypernuclei) with strangeness are described and some states of interest are also predicted within the CSA.« less