Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model

DONG Dong-Qiao; CHEN Wei; WEN De-Hua; LIU Liang-Gang

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2003, Vol. 27> Issue(10) : 892-896

Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model

Department of Physics,Sun Yat-Sen University,Guangzhou 510275,China2 Department of Physics,Jinan University,Guangzhou 510632,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Study of the relation between a meson' s mass ma and nuclear binding energy in chiral a model is given. The main purpose of this paper is to study the so-called "tachyon pole" problem at one-loop level in chiral a model. That is, the square of the pion or a meson effective mass become negative and this will lead to imaginary energy density. We regard m_σ as a free parameter and adjust it (especially use smaller m_σ) to fit the saturation properties. On-mass-shell renormalization, vacuum fluctuation and one-loop approximation are applied to numerical calculations. Results are indicated for m_σ=307.5MeV in which the "tachyon pole" doesn't appear at nuclear density lower than 4.43ρ₀(ρ₀is the saturation nuclear density) , so that the binding energy curve and the value for the compressibility K(≌=175.7MeV) are obtain at the first time.

References

[1]

Serot B D, Walecka J D. The Relativistic Nuclear Many–Body Problem. In: J. W. Negele, Erich Vogt, Advances in Nuclear Physics, New York: Plenum Press. 1986． 1 2 Chin S N. Ann. of Phys., 1977, 108: 301 3 Zimanyi J, Moszikowski S A. Phys. Rev., 1990, C42: 1416 4 Furnstahl R J, TANG H B, Serot B D. Phys. Rev., 1995, C52: 1368 5 Furnstahl R J, Serot B D, TANG H B. Nucl. Phys., 1996, A598: 539 6 Furnstahl R J, Serot B D, TANG H B. Nucl. Phys., 1997, A615: 441 7 Lee B W. Chiral Dynamics'. New York: Gorden Beach, 1972.1 8 Bentz W, LIU L G, Arima A. Ann. Phys., 1988, 188: 619 LIU L G, Bentz W, Arima A. Ann. Phys., 1989, 194: 387 10 LIU L G, Bentz W. Commun. Theor. Phys., 1995, 24(4) : 417 11 Matsui T, Serot B D. Ann. Phys., 1982, 144: 107 12 LIU L G. HEP NP, 1990, 14(9) : 822(in Chinese)(刘良钢.高能物理与核物理,1990,14(9) :822) 13 Review of Particle Physics. Phys. Rev., 2002, D66: 439

[1]	ZHANG Zong-Ye , WANG Wen-Ling , HUANG Fei , YU You-Wen , LIU Feng . Chiral Quark Model Study of udss Tetraquark States. Chinese Physics C, 2007, 31(9): 887-891.
[2]	C.Sasaki¹ , B.Friman¹ , K.Redlich² . Fluctuations and the Phase Transition in a Chiral Model with Polyakov Loops. Chinese Physics C, 2007, 31(12): 1141-1144.
[3]	SHEN Peng-Nian , GUO Feng-Kun , JIANG Huan-Qing , ZOU Bing-Song . D₀ Non-strange 0⁺ Heavy Mesons Have Molecular Structure in the Heavy Chiral Unitary Approach. Chinese Physics C, 2007, 31(9): 870-873.
[4]	LI Xi-Guo , LIU Xin-Yu , GAO Yuan . Effective Mass of Kaons in Hyperon-Rich Matter. Chinese Physics C, 2007, 31(10): 922-928.
[5]	YANG Fang , SHEN Hong . Quark-meson coupling model with a density-dependent bag constant for nuclear matter and finite nuclei. Chinese Physics C, 2006, 30(7): 620-624.
[6]	LU Xiao , LIU Guang-Dong , SHEN Peng-Nian . Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2006, 30(11): 1074-1077.
[7]	HUANG Fei , ZHANG Zong-Ye , YU You-Wen . Chiral SU(3) Quark Model Study of Low-energy Nπ Scattering Phase Shifts. Chinese Physics C, 2005, 29(10): 948-953.
[8]	LU Xiao , Bai Ying , YANG Yong-Xu , SHEN Peng-Nian . Study About the Binding Energy of Light Hypernuclei 5ΛHe,4ΛHe and 4ΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2005, 29(7): 668-672.
[9]	HUANG Yi-Bin , YAN Mu-Lin , WANG Xiao-Jun . Resummation Study on Decay ρ→ππ in U(2)_L×U(2)_R Chiral Theory of Mesons. Chinese Physics C, 2004, 28(4): 340-344.
[10]	GAO Yuan , LI Xi-Guo , JIA Duoje . Kaon Effective Mass in Nuclear Matter. Chinese Physics C, 2003, 27(11): 995-998.
[11]	ZHANG Miao-Jing , SHEN Peng-Nian , LIU Xian-Hui , KONG Fan-Xin . Study about Light Hypernuclei and YN Interaction Based on Chiral SU(3) Quark Model. Chinese Physics C, 2001, 25(8): 743-753.
[12]	TANG Shu-Pian , XU Yuan . IN-Medium Effective Chiral Lagrangian and the Pion Mass in Nuclear Matter. Chinese Physics C, 2001, 25(12): 1197-1205.
[13]	SONG Hong-Qiu , ZHANG Li-Liang , SU Ru-Keng , WANG Ping . Strange Hadronic Matter in A Chiral Model. Chinese Physics C, 2000, 24(S1): 95-99.
[14]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[15]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[16]	BAO Shu-Qing , XUE Xiao-Zhou . ANALYSIS OF THE CHIRALITY IN SU(N) CRAND UNIFIED PREON MODELS. Chinese Physics C, 1990, 14(12): 1073-1080.
[17]	YANG Ke-Yan , XIA Ke-Ding . LOW-LYING RESONANCE IN CHIRAL MESON-QUARK MODEL. Chinese Physics C, 1990, 14(11): 1007-1013.
[18]	CUI Yun-Long , QIU Xi-Jun . THERMOSTATIC PROPERTIES OF NUCLEAR MATTER IN A SATURATING CHIRAL BREAKING FIELD THEORY. Chinese Physics C, 1990, 14(8): 731-738.
[19]	LIU Liang-Gang . ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[20]	ZHANG QI-REN . PARTIAL RESTORATION OF THE CHIRAL SYMMETRY AND THE π CONDENSATION IN NUCLEAR MATTER. Chinese Physics C, 1981, 5(3): 314-320.

Access

Get Citation

DONG Dong-Qiao, CHEN Wei, WEN De-Hua and LIU Liang-Gang. Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model[J]. Chinese Physics C, 2003, 27(10): 892-896.

DONG Dong-Qiao, CHEN Wei, WEN De-Hua and LIU Liang-Gang. Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model[J]. Chinese Physics C, 2003, 27(10): 892-896. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-02-11
Revised: 1900-01-01

Article Metric

Article Views(2802)
PDF Downloads(584)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model

Corresponding author: DONG Dong-Qiao,

Department of Physics,Sun Yat-Sen University,Guangzhou 510275,China2 Department of Physics,Jinan University,Guangzhou 510632,China

Received Date: 2003-02-11
Accepted Date: 1900-01-01
Available Online: 2003-10-05

Abstract: Study of the relation between a meson' s mass ma and nuclear binding energy in chiral a model is given. The main purpose of this paper is to study the so-called "tachyon pole" problem at one-loop level in chiral a model. That is, the square of the pion or a meson effective mass become negative and this will lead to imaginary energy density. We regard m_σ as a free parameter and adjust it (especially use smaller m_σ) to fit the saturation properties. On-mass-shell renormalization, vacuum fluctuation and one-loop approximation are applied to numerical calculations. Results are indicated for m_σ=307.5MeV in which the "tachyon pole" doesn't appear at nuclear density lower than 4.43ρ₀(ρ₀is the saturation nuclear density) , so that the binding energy curve and the value for the compressibility K(≌=175.7MeV) are obtain at the first time.