Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4951-4956 |
| Number of pages | 6 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 53 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1996 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Decay constants and semileptonic decays of heavy mesons in the relativistic quark model. / Hwang, Dae Sung; Kim, C. S.; Wuk, Namgung.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 53, No. 9, 01.01.1996, p. 4951-4956.Research output: Contribution to journal › Article
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
PY - 1996/1/1
Y1 - 1996/1/1
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 -