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B_c Meson Spectrum and Hyperfine Splittings in the Shifted Large-N-Expansion Technique

Department of Electrical and Electronic Engineering, Near East University, Nicosia, North Cyprus, Mersin-10, via Turkey, Turkey

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and

Ramazan Sever

Department of Physics, Middle East Technical University, 06530 Ankara, Turkey

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https://doi.org/10.1142/S0217751X03015088Cited by:33 (Source: Crossref)

Abstract

In the framework of potential models for heavy quarkonium, we compute the mass spectrum of the bottom-charmed B_c meson system and spin-dependent splittings from the Schrödinger equation using the shifted-large-N expansion technique. The masses of the lightest vector and pseudoscalar B_c states as well as the higher states below the threshold are estimated. Our predicted result for the ground state energy is MeV and are generally in exact agreement with earlier calculations. Calculations of the Schrödinger energy eigenvalues are carried out up to the third order of the energy series. The parameters of each potential are adjusted to obtain best agreement with the experimental spin-averaged data (SAD). Our findings are compared with the observed data and with the numerical results obtained by other numerical methods.

Keywords:

PACS: 03.65.Ge, 12.39.Jh, 13.30.Gd

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