Spacings of quarkonium levels with the same principal quantum number

The spacings between bound-state levels of the Schr\"odinger 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) \e...

Descripción completa

Detalles Bibliográficos
Autores principales: Grant, Aaron K., Rosner, Jonathan L., Martin, Andre, Richard, Jean-Marc, Stubbe, Joachim
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.53.2742
http://cds.cern.ch/record/283247
_version_ 1780888088041488384
author Grant, Aaron K.
Rosner, Jonathan L.
Martin, Andre
Richard, Jean-Marc
Stubbe, Joachim
author_facet Grant, Aaron K.
Rosner, Jonathan L.
Martin, Andre
Richard, Jean-Marc
Stubbe, Joachim
author_sort Grant, Aaron K.
collection CERN
description The spacings between bound-state levels of the Schr\"odinger 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.
id cern-283247
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
record_format invenio
spelling cern-2832472023-03-14T19:28:08Zdoi:10.1103/PhysRevD.53.2742http://cds.cern.ch/record/283247engGrant, Aaron K.Rosner, Jonathan L.Martin, AndreRichard, Jean-MarcStubbe, JoachimSpacings of quarkonium levels with the same principal quantum numberParticle Physics - PhenomenologyThe spacings between bound-state levels of the Schr\"odinger 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.The spacings between bound-state levels of the Schr\"odinger 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.hep-ph/9506315EFI-95-22CERN-TH-95-145ENSLAPP-A-523-95ISN-95-07ITKP-95-17CERN-TH-95-145EFI-95-22-[CHICAGO]ENSLAPP-A-523-65ISN-95-07ITK-95-17oai:cds.cern.ch:2832471995-06-13
spellingShingle Particle Physics - Phenomenology
Grant, Aaron K.
Rosner, Jonathan L.
Martin, Andre
Richard, Jean-Marc
Stubbe, Joachim
Spacings of quarkonium levels with the same principal quantum number
title Spacings of quarkonium levels with the same principal quantum number
title_full Spacings of quarkonium levels with the same principal quantum number
title_fullStr Spacings of quarkonium levels with the same principal quantum number
title_full_unstemmed Spacings of quarkonium levels with the same principal quantum number
title_short Spacings of quarkonium levels with the same principal quantum number
title_sort spacings of quarkonium levels with the same principal quantum number
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.53.2742
http://cds.cern.ch/record/283247
work_keys_str_mv AT grantaaronk spacingsofquarkoniumlevelswiththesameprincipalquantumnumber
AT rosnerjonathanl spacingsofquarkoniumlevelswiththesameprincipalquantumnumber
AT martinandre spacingsofquarkoniumlevelswiththesameprincipalquantumnumber
AT richardjeanmarc spacingsofquarkoniumlevelswiththesameprincipalquantumnumber
AT stubbejoachim spacingsofquarkoniumlevelswiththesameprincipalquantumnumber

Ejemplares similares