## Abstract

The average kinetic energy of the heavy quark inside B or D meson is computed by means of the instantaneous Bethe-Salpeter method. We first solve the relativistic Salpeter equation and obtain the relativistic wave function and mass of 0^{-} state, then we use the relativistic wave function to calculate the average kinetic energy of the heavy quark inside heavy meson of 0^{-} state. We find that the relativistic corrections to the average kinetic energy of the heavy quark inside B or D meson are quite large and cannot be ignored. We estimate μ_{π}^{2}(=-λ _{1})≈0.24(B^{0},B^{±}), 0.20(D ^{0},D^{±}), 0.33(B_{s}), 0.26(D_{s}), 0.83(B_{c}) and 0.62(η_{c}) GeV^{2}.

Original language | English |
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Pages (from-to) | 285-293 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 584 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2004 Apr 1 |

### Bibliographical note

Funding Information:We thank Chao-Hsi Chang, G. Cvetic and M. Olsson for careful reading of the manuscript and their valuable comments. The work of C.S.K. was supported in part by CHEP-SRC Program and in part by Grant No. R02-2003-000-10050-0 from BRP of the KOSEF. The work of G.W. was supported in part by BK21 Program and in part by National Natural Science Foundation of China.

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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