The M 1 transition among the vector ( V ) and pseudoscalar (P) mesons in the light and heavy flavor sectors has been investigated in a potential model of independent quarks. Going beyond the static approximation, to add some momentum dependence due to the recoil effect in a more realistic calculation, we find an improvement in the results for the radiative decay of light flavored mesons. However, our prediction on the decay rates for the mesons ( D * and B * ) in the heavy flavor sector remains unaffected and compares well with those of other model calculations. PACS number(s): 13.40.Hq, 12.39.Pn
Weak leptonic decays of light and heavy pseudoscalar mesons are studied in a field-theoretic framework based on the independent quark model with a scalar-vector harmonic potential. Defining the quark-antiquark momentum distribution amplitude obtainable from the bound quark eigenmodes of the model with the assumption of a strong correlation between quark-antiquark momenta inside the decaying meson in its rest frame, we derive the partial decay width with correct kinematical factors from which we extract an expression for the pseudoscalar decay constants fM. Using the model parameters determined from earlier studies in the light-flavor sector and heavy-quark masses m, and mb from the hyperfine splitting of (D*,D) and (B*,B), we calculate the pseudoscalar decay constants. We find that while (f,, fK)=(138,157 MeV); (f,, fDx)=(161,205 MeV), ( fB,fBs)=(122,154 MeV), and fBc=221 MeV. We also obtain the partial decay widths and branching ratios for some kinematically allowed weak leptonic decay processes. 12.40.Qq I. INTRODUCTION B mesons. Capstick and Godfrey [I 11 use the so-called "mock-meson" approach to calculate the hadronic matrix elements f o r obtaining the relativized quark-model The discovery of heavy-flavored mesons in the charm expresson for f M .
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