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

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	A. R. Abdulghany . An analytical formula for fluctuations in nuclear charge density. Chinese Physics C, 2018, 42(7): 074101. doi: 10.1088/1674-1137/42/7/074101
[2]	Zhong Xu , Zhi-Pan Li . Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107
[3]	JIANG Wei-Zhou . Rearrangement term with relativistic density-dependenthyperon potentials. Chinese Physics C, 2013, 37(6): 064101. doi: 10.1088/1674-1137/37/6/064101
[4]	LIU Jian , CHU Yan-Yun , REN Zhong-Zhou , WANG Zai-Jun . Theoretical study of the central depression of nuclear charge density distribution by electron scattering. Chinese Physics C, 2012, 36(1): 48-54. doi: 10.1088/1674-1137/36/1/008
[5]	XU Shou-Yan , WANG Sheng . Study on space charge effects of the CSNS/RCS. Chinese Physics C, 2011, 35(12): 1152-1158. doi: 10.1088/1674-1137/35/12/014
[6]	CHEN Tong , WU Ning , YU Yue . Spin path integral and quantum mechanics in the rotating frame of reference. Chinese Physics C, 2011, 35(2): 139-143. doi: 10.1088/1674-1137/35/2/006
[7]	TIAN Kai , CAO Zhou , XUE Yu-Xiong , YANG Shi-Yu . Comparison study of the charge density distribution induced by heavy ions and pulsed lasers in silicon. Chinese Physics C, 2010, 34(1): 148-151. doi: 10.1088/1674-1137/34/1/028
[8]	B. Juliá Díaz . Single photo and electroproduction of pions at. Chinese Physics C, 2009, 33(12): 1296-1301. doi: 10.1088/1674-1137/33/12/041
[9]	HUANG Yan-Ping , WU Yuan-Fang . Centrality, azimuthal and rapidity dependence of two-particle transverse-momentum correlation in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(4): 281-284. doi: 10.1088/1674-1137/33/4/008
[10]	SUN Bao-Yuan , MENG Jie . Neutron star equation of state in density dependent relativistic Hartree-Fock theory. Chinese Physics C, 2009, 33(S1): 73-75. doi: 10.1088/1674-1137/33/S1/024
[11]	ZHOU Wan-Ping , CAI Shao-Hong , LONG Zheng-Wen . Quantum electrodynamics with arbitrary charge on a noncommutative space. Chinese Physics C, 2009, 33(1): 10-14. doi: 10.1088/1674-1137/33/1/003
[12]	Sayipjamal Dulat , LI Kang , . Landau problem in noncommutative quantum mechanics. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
[13]	Wang Chengshing , Zhao Qiang , Tang Ping . Glauber Theory on Transverse Energy Distributions in Ultra-Relativistic Heavy Ion Collisions. Chinese Physics C, 1996, 20(S2): 149-154.
[14]	Ji Daren , Ying Heping , Chen Feng , Zhang Jianbo . Cluster Monte Carlo Algorithm for the Study of Quantum X-Y Model. Chinese Physics C, 1995, 19(S1): 61-68.
[15]	Liu Fuhu , Sun Hancheng . Transverse Momentum and the Pseudorapidity Distributions of Negative Particles in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 21-26.
[16]	Zhao Weiqin , Liu Bo . Transverse Energy Dependence of Yield of Charmonium Production in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 97-101.
[17]	Liu Yiming , Zhang Weigang , Huo Lei , Wang Shan , D. Keane , S. Y. Chu , S. Y. Fung . Transverse Motion Correlation of Collective Flow in Relativistic Heavy Ion Collisions. Chinese Physics C, 1994, 18(S2): 167-174.
[18]	Soren P. Sorensen , Zhao Weiqin . Influence of Finite Collision Time on Energy Density in Relativistic Heavy Ion Collisions. Chinese Physics C, 1993, 17(S1): 89-93.
[19]	Li Fubin . Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics. Chinese Physics C, 1992, 16(S2): 173-177.
[20]	Ding Yibing , Zhou Lei , Zhao Guangda , Qin Danhua . Sum Rules in Quantum Mechanics and the Electric Dipole Transitions of the ψ (3770). Chinese Physics C, 1991, 15(S4): 373-383.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-11-29
Revised: 1900-01-01

Article Metric

Article Views(2608)
PDF Downloads(467)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录