Stable solutions for qq bound states with a regularized Breit potential

ZHANG Wei-Ning

doi:10.1088/1674-1137/33/8/010

Chinese Physics C> 2009, Vol. 33> Issue(8) : 648-654 DOI: 10.1088/1674-1137/33/8/010

Stable solutions for qq bound states with a regularized Breit potential

ZHANG Wei-Ning ^, ,

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Abstract：
The Breit interaction contains singular terms which may lead to an instability in quark-antiquark bound state calculations. We regularize the Breit interaction by multiplying the singular terms in momentum space by the form factor μ²/(q²+μ²) such that the interaction is not singular at the origin and the intermediate- and long-range parts of the interaction remain unchanged. The singular terms in the Breit potential find their stable contributions in the calculations after being multiplied by the form factor with different powers. Such a regularized Breit potential with a linear and a relativistically corrected confining potential are applied to the study of qq bound states. The spectra for most familiar mesons are consistently obtained and agree well with the experimental data.

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[1]

. Lucha W, Schoberl F F, Gromes D. Phys. Rep., 1991, 200:127-2402. Godfrey S, Kokoski R. Phys. Rev. D, 1991, 43: 1679-16873. Godfrey S, Isgur N. Phys. Rev. D, 1985, 32: 189-2314. Godfrey S. Phys. Rev. D, 1985, 31: 2375-23775. Capstick S, Isgur N. Phys. Rev. D, 1986, 34: 2809-28356. Barnes T, Swanson E S. Phys. Rev. D, 1992, 46: 131-1597. Barnes T, Black N, Dean D J, Swanson E S. Phys. Rev. C,1999, 60: 0452028. Wong C Y, Swanson E S, Barnes T. Phys. Rev. C, 2001,65: 0149039. Crater H, Vanalstine P. Phys. Rev. D, 2004, 70: 03402610. Childers R W. Phys. Rev. D, 1982, 26: 2902-291511. Brayshaw D D. Phys. Rev. D, 1987, 36: 1465-147812. Landau L D, Lifshitz E M. Quantum Mechanics. Pergamon Press, London. 195813. ZHAO Guo-Quan, JING Xiao-Gong, SU Jun-Chen. Phys.Rev. D, 1998, 58: 11750314. Case K M. Phys. Rev., 1950, 80: 797-80615. Atkinson D A, Crater H W. Am. J. Phys., 1975, 43: 301-30416. Jirimutu, WANG Hai-Jun, ZHANG Wei-Ning, Wong Cheuk-Yin. Chinese Phys. C, 2009, 33: 170-17617. Rujula A D, Georgi H, Glashow S L. Phys. Rev. D, 1975,12: 147-16218. Berestetskii V B, Lifshitz E M, Pitaevskii L P. Quan-tum Electrodynamics (Second Edition), Reprinted by Bei-jing Would Publishing Corporation by Arrangment with Butterworth-Heinermann (A Division of Read Educational and Professional Publishing Ltd.), 1999, 337-33819. CHEN Jian-Xing, CAO Ying-Hui, SU Jun-Chen. Phys.Rev. C, 2001, 64: 06520120. WANG Hai-Jun, YANG Hui, SU Jun-Chen. Phys. Rev. C,2003, 68: 05520421. Wong C Y, Swanson E S, Barnes T. Phys. Rev. C, 2000,62: 04520122. ZHANG Wei-Ning, Wong Cheuk-Yin. Phys. Rev. C, 2003,68: 035211

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ZHANG Wei-Ning and Stable solutions for qq bound states with a regularized Breit potential[J]. Chinese Physics C, 2009, 33(8): 648-654. doi: 10.1088/1674-1137/33/8/010

ZHANG Wei-Ning and Stable solutions for qq bound states with a regularized Breit potential[J]. Chinese Physics C, 2009, 33(8): 648-654. doi: 10.1088/1674-1137/33/8/010 shu

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Received: 2008-12-26
Revised: 2009-02-13

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Stable solutions for qq bound states with a regularized Breit potential

Corresponding author: ZHANG Wei-Ning,

Received Date: 2008-12-26

Accepted Date: 2009-02-13

Available Online: 2009-08-05

Abstract:

The Breit interaction contains singular terms which may lead to an instability in quark-antiquark bound state calculations. We regularize the Breit interaction by multiplying the singular terms in momentum space by the form factor μ²/(q²+μ²) such that the interaction is not singular at the origin and the intermediate- and long-range parts of the interaction remain unchanged. The singular terms in the Breit potential find their stable contributions in the calculations after being multiplied by the form factor with different powers. Such a regularized Breit potential with a linear and a relativistically corrected confining potential are applied to the study of qq bound states. The spectra for most familiar mesons are consistently obtained and agree well with the experimental data.

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Stable solutions for qq bound states with a regularized Breit potential

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