Quantum chromodynamics with an infinite number of vector mesons

Journal Article · Sat Apr 01 04:00:00 EST 1989 · Soviet Journal of Nuclear Physics (English Translation); (USA)

OSTI ID:5507308

Geshkenbein, B V ^[1]

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1. Institute of Theoretical and Experimental Physics, State Commission on Use of Atomic Energy (SU)

It is assumed that the families of the vecto mesons {rho}, {psi}, and {Upsilon} contain an infinite number of resonances with gradually increasing width. The requirement of asymptotic freedom leads to a relation between the electronic width of a resonance and the derivative with respect to the resonance number. Using this relation, we find that for the families of the {psi} and {Upsilon} mesons the moment of the experimental function {ital R}({ital s}) is equal to the moment of a bare quark loop plus an end term arising when the summation is replaced by an integration. These equations are satisfied with an accuracy of up to 1% for 60 moments in the {psi}-meson family and with an accuracy of up to 2% for 96 moments in the {Upsilon}-meson family. The electronic widths of these resonances and the {rho}-meson mass are calculated.

• OSTI ID: 5507308
• Journal Information: Soviet Journal of Nuclear Physics (English Translation); (USA), Journal Name: Soviet Journal of Nuclear Physics (English Translation); (USA) Vol. 49:4; ISSN 0038-5506; ISSN SJNCA
• Country of Publication: United States
• Language: English

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