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

C. S. Kim; Guo Li Wang

doi:10.1016/j.physletb.2004.01.058

Average kinetic energy of heavy quark (μ_π²) inside heavy meson in 0^- state by Bethe-Salpeter method

C. S. Kim, Guo Li Wang

Department of Physics

Research output: Contribution to journal › Article › peer-review

76 Citations (Scopus)

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_π²(=-λ ₁)≈0.24(B⁰,B^±), 0.20(D ⁰,D^±), 0.33(B_s), 0.26(D_s), 0.83(B_c) and 0.62(η_c) GeV².

Original language	English
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	https://doi.org/10.1016/j.physletb.2004.01.058
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

Access to Document

10.1016/j.physletb.2004.01.058

Cite this

@article{6b1355cef3d2434c9cb6dba206bd7b06,

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

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.",

author = "Kim, {C. S.} and Wang, {Guo Li}",

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. ",

year = "2004",

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doi = "10.1016/j.physletb.2004.01.058",

language = "English",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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T1 - Average kinetic energy of heavy quark (μπ2) inside heavy meson in 0- state by Bethe-Salpeter method

AU - Kim, C. S.

AU - Wang, Guo Li

N1 - 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.

PY - 2004/4/1

Y1 - 2004/4/1

N2 - 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.

AB - 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.

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