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

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

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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

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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

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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

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

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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.