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A Universal Spring and Baryon Regge Trajectories
Author(s) -
S. Ishida,
Muneyuki Ishida,
Kenji Yamada
Publication year - 1994
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/91.4.775
Subject(s) - physics , universality (dynamical systems) , baryon , particle physics , meson , quark , quark model , harmonic oscillator , covariant transformation , quantum mechanics , quarkonium
In the covariant oscillator quark model (COQM) the squared-mass spectra of cvnfined meson and baryon systems are described by harmonic oscillators. In this work we propose a hypothesis of universal spring in COQM, which predicts the respective values of oscillator quanta in terms of constituent quark masses and a spring constant. In the previous work we have examined the universality within the meson system. In this work we shall examine the universality, further, in the baryon system by comparing the predicted orbital Regge trajectories in the respective flavor channels with experiments. The spring constants in the meson and baryon systems are related mutually by a color factor obtained through heuristic arguments. It seems to us that our universality is realized experimentally for the light-quark baryons, while for the heavy-flavored baryons the experimental knowledge is too poor to lead to any definite conclusions.

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