ENERGY-LEVEL INEQUALITIES IN A WRINKLED QUARKONIUM POTENTIAL

Citation
Ba. Bambah et al., ENERGY-LEVEL INEQUALITIES IN A WRINKLED QUARKONIUM POTENTIAL, Physical review. D. Particles and fields, 53(7), 1996, pp. 4106-4109
Citations number
13
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
53
Issue
7
Year of publication
1996
Pages
4106 - 4109
Database
ISI
SICI code
0556-2821(1996)53:7<4106:EIIAWQ>2.0.ZU;2-E
Abstract
''concave'' downward property of the standard static <q(q)over bar> po tentials leads to the energy level inequalities E(n+2) - E(n+1) < E(n1) - E(n) in the quarkonium mass spectrum. However, this inequality is experimentally observed to be reversed for n = 2 in charmonium and n = 3 in bottomonium, a fact that is inexplicable in terms of any known concave downward potential. We attempt to explain this by allowing for the violation of the concavity condition in a small interval, i.e., a ''wrinkle'' in some recently proposed quarkonium potentials.