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Asymptotic Study to the N-Dimensional Radial Schrdinger Equation for the Quark-Antiquark System
基金项目:University Grant Commission(UGC) INDIA for providing the financial assistance in terms of UGC-SRF
摘    要:Here an asymptotic study to the N-dimensional radial Schrdinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The complete energy spectra of the consigned system is obtained by computing and adding energy eigenvalues for ground state, for large " r" and for small " r". From this analysis, the mass spectra of heavy quarkonia is derived in three dimensions. Our analytical and numerical results are in good correspondence with other experimental and theoretical studies.

关 键 词:N-dimensional radial Schrdinger equation  quarkonium potential  eigenvalue  eigenfunction
收稿时间:2012-11-14

Asymptotic Study to the N-Dimensional Radial Schrödinger Equation for the Quark-Antiquark System
Ramesh Kumar,Fakir Chand. Asymptotic Study to the N-Dimensional Radial Schrödinger Equation for the Quark-Antiquark System[J]. Communications in Theoretical Physics, 2013, 59(5): 528-532
Authors:Ramesh Kumar  Fakir Chand
Affiliation:Department of Physics, Kurukshetra University, Kurukshetra-136119, India
Abstract:Here an asymptotic study to the N-dimensional radial Schrödinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The complete energy spectra of the consigned system is obtained by computing and adding energy eigenvalues for ground state, for large "r" and for small "r". From this analysis, the mass spectra of heavy quarkonia is derived in three dimensions. Our analytical and numerical results are in good correspondence with other experimental and theoretical studies.
Keywords:N-dimensional radial Schrödinger equation  quarkonium potential  eigenvalue  eigenfunction  
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