Energy level inequalities in a {open_quote}{open_quote}wrinkled{close_quote}{close_quote} quarkonium potential
- School of Physics, University of Hyderabad, Hyderabad 500 134 (India)
- Centre for Advanced Study in Physics, Panjab University, Chandigarh 160 014 (India)
- Department of Physics, Kurukshetra University, Kurukshetra 132 119 (India)
The {open_quote}{open_quote}concave{close_quote}{close_quote} downward property of the standard static {ital q{bar q}} potentials leads to the energy level inequalities {ital E}{sub {ital n}+2}{minus}{ital E}{sub {ital n}+1}{lt}{ital E}{sub {ital n}+1}{minus}{ital E}{sub {ital n}} in the quarkonium mass spectrum. However, this inequality is experimentally observed to be reversed for {ital n}=2 in charmonium and {ital 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 {open_quote}{open_quote}wrinkle{close_quote}{close_quote} in some recently proposed quarkonium potentials. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 279875
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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