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MASS SPECTRA OF HEAVY QUARKONIA AND B_c DECAY CONSTANT FOR STATIC SCALAR-VECTOR INTERACTIONS WITH RELATIVISTIC KINEMATICS

SAMEER M. IKHDAIR

Department of Electrical Engineering, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

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and

RAMAZAN SEVER

Department of Physics, Middle East Technical University, Ankara, Turkey

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https://doi.org/10.1142/S0217751X05021294Cited by:37 (Source: Crossref)

Abstract

We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and 1S bottomonium are also calculated. Further, 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^-β + κr^β + V₀, with β = 1, 1/2, 3/4 decomposed into scalar and vector parts in the form V_V(r) = -Ar^-β + (1-∊)κr^β and V_S(r) = ∊κr^β + V₀; where 0≤∊≤1. We have used the shifted large-N-expansion technique (SLNET) to solve the reduced equation for the scalar (∊ = 1), equal mixture of scalar-vector (∊ = 1/2), and vector (∊ = 0) confinement interaction kernels. The energy eigenvalues are carried out up to the third order approximation.

Keywords:

PACS: 11.10.St, 12.39.Pn, 14.40.-n

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