Energy level inequalities in a {open_quote}{open_quote}wrinkled{close_quote}{close_quote} quarkonium potential

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.4106· OSTI ID:279875

Bambah, B A ^[1]; Dharamvir, K ^[2]; Sharma, A C ^[3]

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1. School of Physics, University of Hyderabad, Hyderabad 500 134 (India)
2. Centre for Advanced Study in Physics, Panjab University, Chandigarh 160 014 (India)
3. 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

Related Subjects

66 PHYSICS
BOTTOMONIUM
CHARMONIUM
ENERGY LEVELS
MASS SPECTRA
POTENTIALS
QUARKONIUM
VIOLATIONS