TY - JOUR
T1 - Decay constants and semileptonic decays of heavy mesons in the relativistic quark model
AU - Hwang, Dae Sung
AU - Kim, C. S.
AU - Wuk, Namgung
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1996
Y1 - 1996
N2 - We investigate the B and D mesons in the relativistic quark model by applying the variational method with the Gaussian wave function. We calculate the Fermi momentum parameter pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.
AB - We investigate the B and D mesons in the relativistic quark model by applying the variational method with the Gaussian wave function. We calculate the Fermi momentum parameter pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.
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U2 - 10.1103/PhysRevD.53.4951
DO - 10.1103/PhysRevD.53.4951
M3 - Article
AN - SCOPUS:0043172343
VL - 53
SP - 4951
EP - 4956
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 9
ER -