Electromagnetic annihilation rates of {chi}{sub {ital c}0} and {chi}{sub {ital c}2} with both relativistic and QCD radiative corrections
- China Center of Advanced Science and Technology (World Laboratory), Beijing 100080, People`s Republic of (China)
We estimate the electromagnetic decay rates of {chi}{sub {ital c}0}{r_arrow}{gamma}{gamma} and {chi}{sub {ital c}2}{r_arrow}{gamma}{gamma} by taking into account both relativistic and QCD radiative corrections. The decay rates are derived in the Bethe-Salpeter formalism and the QCD radiative corrections are included in accordance with the factorization assumption. Using a QCD-inspired interquark potential, we obtain relativistic BS wave functions of {chi}{sub {ital c}0} and {chi}{sub {ital c}2} by solving the BS equation for the corresponding {sup 2{ital S}+1}{ital L}{sub {ital J}} states. Our numerical result for the ratio {ital R}={Gamma}({chi}{sub {ital c}0}{r_arrow}{gamma}{gamma})/{Gamma}({chi}{sub {ital c}2}{r_arrow}{gamma}{gamma}) is about 11{endash}13, which agrees with the update E760 experiment data. Explicit calculations show that in addition to the QCD radiative corrections which may increase the ratio {ital R} by about a factor of 2, the relativistic corrections due to spin-dependent interquark forces induced by gluon exchange also enhance the ratio {ital R} substantially and its value is insensitive to the choice of parameters that characterize the interquark potential. Our expressions for the decay widths are identical with that obtained in the NRQCD theory to the next-to-leading order in {ital v}{sup 2} and {alpha}{sub {ital s}}. Moreover, we have determined two new coefficients in the nonperturbative matrix elements for these decay widths. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 286423
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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