### 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 α_{s}, m_{b}, m_{c}, and m_{sp}. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √M^{D}/m^{B} given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (M_{B}*-M_{B})/(M_{D}*-M_{D}). 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 m_{c}.

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)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*53*(9), 4951-4956. https://doi.org/10.1103/PhysRevD.53.4951

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 53, no. 9, pp. 4951-4956. https://doi.org/10.1103/PhysRevD.53.4951

**Decay constants and semileptonic decays of heavy mesons in the relativistic quark model.** / Hwang, Dae Sung; Kim, Choong Sun; Wuk, Namgung.

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, Choong Sun

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

VL - 53

SP - 4951

EP - 4956

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 9

ER -