Total widths of radially excited V-mesons in relativistic harmonic-oscillator models

Abstract

The purpose of this study is to make a quantitative estimate of the total widths of radial excitations of V-mesons through a systematic saturation of available channels, by means of certain current relativistic versions of the harmonic-oscillator model. In this connection, we test the effect of the usual radiation quantum (RQ) hypothesisvs. that of the (more recent) quark pair creation (QPC) assumption. While the former yields extremely large widths, increasing exponentially with the excitation quantum number, the latter yields interesting enough unusually small widths almost competing with the order of magnitudes found for the narrow resonances. Possible means of detection of these resonances, to throw light on the principle viability of the QPC hypothesis, are discussed.