Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics

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2005-11-10

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Ikhdair, SM
Sever, Ramazan

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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 IS bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the Be 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 decomposed into scalar and vector parts in the form Vv(r) = -Ar-beta + (1 - epsilon)kappa r(beta) and V-S(r) = epsilon kappa r(beta) + Vo; where 0 <= epsilon <= 1. We have used the shifted large-N-expansion technique (SLNET) to solve the reduced equation for the scalar (epsilon = 1), equal mixture of scalar-vector (epsilon = 1/2), and vector (epsilon = 0) confinement interaction kernels. The energy eigenvalues are carried out up to the third order approximation.

Subject Keywords

Nuclear and High Energy Physics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics

URI

https://hdl.handle.net/11511/62471

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS A

DOI

https://doi.org/10.1142/s0217751x05021294

Collections

Department of Physics, Article

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Citation Formats

S. Ikhdair and R. Sever, “Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics,” INTERNATIONAL JOURNAL OF MODERN PHYSICS A, pp. 6509–6531, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62471.