B-c and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics

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Ikhdair S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.20, no.17, pp.4035-4054, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 17
  • Publication Date: 2005
  • Doi Number: 10.1142/s0217751x05022275
  • Page Numbers: pp.4035-4054


We present bound state masses of the self-conjugate and non-self-conjugate mesons in the context of the Schrodinger equation taking into account the relativistic kinematics and the quark spins. We apply the usual interaction by adding the spin dependent correction. The hyperfine splittings for the 2S charmonium and 1S bottomonium are calculated. The pseudoscalar and vector decay constants of the B-c meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of three attractive static interaction potentials of the general form V(r) = -Ar-beta + kappa r(-beta) + V-0, with beta = 1, 1/2, 3/4 which can also be decomposed into scalar and vector parts in the form V-V(r) = -Ar-beta + (1 - epsilon)kappa r(beta) and V-S(r) = epsilon kappa r(beta) + V-0; where 0 <= epsilon <= 1. The energy eigenvalues are carried out up to the third order approximation using the shifted large-N-expansion technique.