Spacings of quarkonium levels with the same principal quantum number - IN2P3 - Institut national de physique nucléaire et de physique des particules
Article Dans Une Revue Physical Review D Année : 1996

Spacings of quarkonium levels with the same principal quantum number

A.K. Grant
  • Fonction : Auteur
J.L. Rosner
  • Fonction : Auteur
A. Martin
  • Fonction : Auteur
J. Stubbe
  • Fonction : Auteur

Résumé

The spacings between bound-state levels of the Schrödinger equation with the same principal quantum number N but orbital angular momenta \ell differing by unity are found to be nearly equal for a wide range of power potentials V = \lambda r^\nu, with E_{N \ell} \approx F(\nu, N) - G(\nu,N) \ell. Semiclassical approximations are in accord with this behavior. The result is applied to estimates of masses for quarkonium levels which have not yet been observed, including the 2P c \bar c states and the 1D b \bar b states.

Dates et versions

in2p3-00003130 , version 1 (21-10-1999)

Identifiants

Citer

A.K. Grant, J.L. Rosner, A. Martin, J.-M. Richard, J. Stubbe. Spacings of quarkonium levels with the same principal quantum number. Physical Review D, 1996, 53, pp.2742-2751. ⟨10.1103/PhysRevD.53.2742⟩. ⟨in2p3-00003130⟩
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