External Momentum Expansion in NJL Model

Huang Mei; Zhuang Pengfei; Zhao Weiqin

Chinese Physics C> 1999, Vol. 23> Issue(9) : 926-930

External Momentum Expansion in NJL Model

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 1000392 Physics Department,Tsinghua University, Beijing 1000843 CCAST Beijing 100080

Abstract
HTML
Reference
Related

PDF

Abstract：
In the large N_c expansion beyond mean-field approximation, we develop a generals scheme of SU(2) NJL model including current quark mass explicitly. In our scheme, the conshttituent quark's propagator is expanded in pion's external momentum k, and all the Feynman diagrams are naturally expanded to k² term in a unified way. Our numerical results show that in the mean field appproximations the effect of current quark mass is invisible, however, the effect of current quark mass can be seen explicitly beyond mean-field approximation for reasonable choices of the parameters in NJL model.

References

[1]

Vogl U, Weise W. Prog. Prat . Nucl . Phys ., 1991, 27:1952 Klevansky S P. Rev. Mod. Phys., 1992, 64:6493 Hatsuda T, Kunihiro T. Phys. Rep., 1994 247:221 4 Nikolov E N, Broniowski W, Christov C V et al. Nucl. Phys., 1996, A608:4115 Dmitrasinovic V. Schulze H–J, Tegen R et al. Ann. Phys., 1995 238:332 6 Huang M Zhuang P F, Chao W Q. hep–ph/9903304

[1]	YE Wei . Possible Dependence of Dissipation Strength on Angular Momentum. Chinese Physics C, 2006, 30(8): 759-760.
[2]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[3]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[4]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[5]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[6]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[7]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[8]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.
[9]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Huang Mei, Zhuang Pengfei and Zhao Weiqin. External Momentum Expansion in NJL Model[J]. Chinese Physics C, 1999, 23(9): 926-930.

Huang Mei, Zhuang Pengfei and Zhao Weiqin. External Momentum Expansion in NJL Model[J]. Chinese Physics C, 1999, 23(9): 926-930. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-03-11
Revised: 1900-01-01

Article Metric

Article Views(3866)
PDF Downloads(574)
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

External Momentum Expansion in NJL Model

Corresponding author: Huang Mei,

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 1000392 Physics Department,Tsinghua University, Beijing 1000843 CCAST Beijing 100080

Received Date: 1999-03-11
Accepted Date: 1900-01-01
Available Online: 1999-09-05

Abstract: In the large N_c expansion beyond mean-field approximation, we develop a generals scheme of SU(2) NJL model including current quark mass explicitly. In our scheme, the conshttituent quark's propagator is expanded in pion's external momentum k, and all the Feynman diagrams are naturally expanded to k² term in a unified way. Our numerical results show that in the mean field appproximations the effect of current quark mass is invisible, however, the effect of current quark mass can be seen explicitly beyond mean-field approximation for reasonable choices of the parameters in NJL model.