A study of transverse charge density of pions in relativistic quantum mechanics

DONG Yu-Bing; WANG Yi-Zhan

doi:10.1088/1674-1137/35/8/003

Chinese Physics C> 2011, Vol. 35> Issue(8) : 713-716 DOI: 10.1088/1674-1137/35/8/003

A study of transverse charge density of pions in relativistic quantum mechanics

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Abstract：
The transverse charge density of pions is calculated based on relativistic quantum mechanics, where the pion is regarded as a quark-antiquark bound state. Corrections from the two spin-1/2 constituents and from the wave function of a quark and antiquark inside the bound system are discussed. The calculated results are compared to the results with a realistic effective Lagrangian approach as well as to that with a simple covariant model where the pion is regarded as a composite system with two scalar particles.

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[1]

Amendolia S R et al. Nucl. Phys. B, 1986, 277: 1682 Bekek C J et al. Phys. Rev. D, 1978, 17: 17933 Brauel P et al. Z. Phys, 1979, 3: 1014 Volmer J et al. (The Jefferson Lab. Fπ collaboration). Phys. Rev. Lett., 2001, 86: 1713; Horn T et al. (The Jefferson Lab. Fπ collaboration). Phys. Rev. Lett., 2006, 97: 192001; Tadevosyan V (The Jefferson Lab. Fπ collaboration). Phys. Rev. C, 2007, 75: 055205; Huber G M et al. Phys. Rev. C, 2008, 78, 045203; Blok H P et al. Phys. Rev. C, 2008, 78: 0452025 Aloisio A et al. (The KLOE collaboration). Phys. Lett. B, 2005, 606: 12; 2006, 634: 1486 Pedlaa T K et al. (The CLEO collaboration). Phys. Rev. Lett., 2005, 95: 2618037 Soper D E. Phys. Rev. D, 1972, 5: 19568 Burkardt M. Int. J. Mod. Phys. A, 2003, 18: 1739 Diehl M. Eur. Phys. J. C., 2002, 25: 223; 2003, 31: 22310 Carlson C E, Vanderhaeghen M. Phys. Rev. Lett., 2008, 100: 03200411 Miller G A. Phys. Rev. Lett., 2007, 99: 112001; Miller G A. Phys. Rev. C, 2009, 79: 05520412 Miller G A. Phys. Rev. C, 2009, 80: 04521013 Weinberg S. Phys. Rev. Lett., 1967, 18: 188; Phys. Rev., 1968, 166: 1568; SALAM A. Nuoco Cim., 1962, 25: 224; Hayashi K et al. Fortschr. Phys., 1967, 15: 625; Efimov G V, Ivanov M A. The Quark Confinement Model of Hadrons, IOP, Bristol, 199314 Faessler A, Gutsche T, Ivanov M A, Lyubovitskij V E, WANG P. Phys. Rev. D, 2003, 68: 01401115 Faessler A, Gutsche T, Holstein B R, Lyubovitskij V E, Nic- morus D, Pumsd-ard K. Phys. Rev. D, 2006, 74: 074010; Faessler A, Gutsche T, Kovalenko S, Lyubovitskij V E. Phys. Rev. D, 2007, 76: 014003; Faessler A, Gutsche T, Lyubovitskij V E, MA Y L. Phys. Rev. D, 2007, 76: 114008; Faessler A, Gutsche T, Lyubovitskij V E, MA Y L. Phys. Rev. D, 2007, 76: 014005; Faessler A, Gutsche T, Lyubovitskij V E, MA Y L. Phys. Rev. D, 2008, 77: 114013; DONG Y B, Faessler A, Gutsche T, Lyubovitskij V E. Phys. Rev. D, 2008, 77: 094013; DONG Y B, Faessler A, Gutsche T, Kovalenko S, Lyubovitskij V E. Phys. Rev. D, 2009, 79: 094013; DONG Y B, Faessler A, Gutsche T, Lyubovitskij V E. Phys. Rev. D, 2010, 81: 014006; DONG Y B, Faessler A, Gutsche T, Lyubovitskij V E. Phys. Rev. D, 2010, 81: 07401116 DONG Y B. Phys. Rev. C., 2010, 81: 01820117 Dirac P M. Rev. Mod. Phys., 1949, 21: 39218 Amghar A, Desplanques B, Theuβl L. Nucl. Phys. A, 2003, 714: 213; HE J, Julia-Diaz B, DONG Y B. Phys. Lett. B, 2004, 602: 212; Eur. Phys. A., 2005, 24: 411; Despalnques B, DONG Y B. Eur Phys. J A, 2008, 37: 33; Despalnques B, DONG Y B. arXiv: 0907.2835; Despalnques B, DONG Y B. arXiv: 1006.057819 Basdevant J L, Boukraa S Z. Phys. C, 1986, 30: 103

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DONG Yu-Bing and WANG Yi-Zhan. A study of transverse charge density of pions in relativistic quantum mechanics[J]. Chinese Physics C, 2011, 35(8): 713-716. doi: 10.1088/1674-1137/35/8/003

DONG Yu-Bing and WANG Yi-Zhan. A study of transverse charge density of pions in relativistic quantum mechanics[J]. Chinese Physics C, 2011, 35(8): 713-716. doi: 10.1088/1674-1137/35/8/003 shu

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Received: 2010-11-29
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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

A study of transverse charge density of pions in relativistic quantum mechanics

Received Date: 2010-11-29

Accepted Date: 1900-01-01

Available Online: 2011-08-05

Abstract: The transverse charge density of pions is calculated based on relativistic quantum mechanics, where the pion is regarded as a quark-antiquark bound state. Corrections from the two spin-1/2 constituents and from the wave function of a quark and antiquark inside the bound system are discussed. The calculated results are compared to the results with a realistic effective Lagrangian approach as well as to that with a simple covariant model where the pion is regarded as a composite system with two scalar particles.

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A study of transverse charge density of pions in relativistic quantum mechanics

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