Average kinetic energy of heavy quark (μπ2) inside heavy meson in 0- state by Bethe-Salpeter method

C. S. Kim, Guo Li Wang

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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 μπ2(=-λ 1)≈0.24(B0,B±), 0.20(D 0,D±), 0.33(Bs), 0.26(Ds), 0.83(Bc) and 0.62(ηc) GeV2.

Original languageEnglish
Pages (from-to)285-293
Number of pages9
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume584
Issue number3-4
DOIs
Publication statusPublished - 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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