Properties of QQ mesons in nonrelativistic QCD formalism

Journal Article · Sat Nov 15 04:00:00 EST 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.78.055202· OSTI ID:21199390

Rai, Ajay Kumar ^[1]; Patel, Bhavin; Vinodkumar, P C ^[2]

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1. Physics Section, Applied Sciences and Humanities Department Sardar Vallabh National Institute of Technology, Surat-395 007, Gujarat (India)
2. Department of Physics, Sardar Patel University, Vallabh Vidyanagar, Anand 388 120, Gujarat (India)

The decay rates of QQ mesons (Q {epsilon} c, b) are studied in the nonrelativistic quantum chromodynamics (QCD) formalism in terms of their short-distance and long-distance coefficients. The long-distance coefficients are obtained through phenomenological potential model description of the mesons. The model parameters that reproduces the mass spectrum of the cc, bb, and cb mesons are employed to study the decay widths of these mesons. We extract the mass spectrum and the respective radial wave functions from the different potential models as well as from a nonrelativistic phenomenological quark-antiquark potential of the type V(r)=-({alpha}{sub c}/r)+Ar{sup {nu}}, with {nu} varying from 0.5 to 2. The spin hyperfine and spin-orbit interactions are employed to obtain the masses of the pseudoscalar and vector mesons. The decay constants with QCD corrections are computed in this model as well as in the case of other potential models for comparison. The digamma and dileptonic decays of cc and bb mesons are investigated using some of the known potential models without and with radiative corrections up to the lowest order. These decay width are also computed within the nonrelativistic QCD formalism up to O(v{sup 4}) by making uses of the respective spectroscopic parameters of the models. Our theoretical predictions of the decays of the cc and bb mesons and the results obtained from some of the other potential schemes are compared with the experimental values. The partial widths and lifetime of the B{sub c} meson are also computed using the model parameters and are found to be in good accordance with the experimental values.

• OSTI ID: 21199390
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 78; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B C MESONS
COMPARATIVE EVALUATIONS
FORECASTING
L-S COUPLING
LIFETIME
MASS
MASS SPECTRA
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
RADIATIVE CORRECTIONS
SIMULATION
SPIN
VECTOR MESONS
WAVE FUNCTIONS