Heavy Mesons in a Simple Quark-Confining Two-Step Potential Model

摘要

We study the mass spectra and decay widths of upsilon resonances in a simple quark-confining, analytically solvable, two-step potential model used earlier to study the charmonium system and even the light mesons like pi , rho, K,... etc. Results are found to be in good agreement with experiments and also with the values predicted by others. We also calculate within our model, the masses of the lowest-lying bottom mesons which we denote by B( pi ) or B, B(rho) or Bsup(*), B(K) or Bsub(s), B(Ksup(*)) or Bsub(s)sup(*) and B(psi) or Bsub(c); showing that these agree well with the other theoretical predictions. In this way we put the BB-bar threshold at 10.242 GeV, which means in our model the first three radial upsilon excitations, viz. Y(9.4345), Y'(9.9930) and Y''(10.1988) are stable with respect to the Zweig allowed decay Ysup(Vertical BarVertical BarVertical Bar...) implies B-barB. (Atomindex citation 14:730491)