DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

LUO Pei-Yan; ZUO Wei; LI Zeng-Hua; YONG Gao-Chan; XU Zhong-Feng

Chinese Physics C> 2006, Vol. 30> Issue(10) : 976-982

DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China

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Within the framework of Dirac Brueckner-Hartree-Fock (DBHF) approach, we calculate the energy per nucleon, the pressure, the nucleon self-energy and the single-nucleon energy in the nuclear matter by adopting two different covariant representations for T-matrix. We mainly investigate the influence of different covariant representations on the satisfiable extent of the Hugenholtz-Van Hove (HVH) theorem in the nuclear medium in the framework of DBHF. By adopting the two different covariant representations of T-matrix, the predicted nucleon self-energy shows a quite different momentum and density dependence. Different covariant representations affect remarkably the satisfiable extent of the HVH theorem. By adopting the complete pseudo-vector representation of the T-matrix, HVH theorem is largely violated, which is in agreement with the result in the non-relativistic Brueckner-Hartree-Fock approach and reflects the importance of ground state correlations for single nucleon properties in nuclear medium, whereas by using the pseudo-scalar representation, the ground state correlation cannot be shown. It indicates that the complete pseudo-vector presentation is more feasible than the pseudo-scalar one.

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[1]

. Fuchs C. Lect. Notes. Phys., 2004, 641: 1192. Anastasio M R, Celenza L S, Shakin C M. Phys. Rev. Lett.,1980, 45: 2096; Anastasio M R, Celenza L S, Pong W S etal. Phys. Rep., 1983, 100: 3273. Machleidt R. Adv. Nucl. Phys., 1986, 19: 189; BrockmannR, Machleidt R. Phys. Rev., 1990, C42: 19654. Horowitz C J, Serot B D. Nucl. Phys., 1987, A464: 6135. Haar B T, Maliet R. Phys. Rep., 1987, 149: 207; Phys.Rev. Lett., 1987, 59: 16526. Sehn L, Fuchs C, Faessler A. Phys. Rev., 1997, C56: 2167. Fuchs C et al. Phys. Rev., 1998, C58: 20228. Gross-Boelting T, Fuchs C, Faessler A. Nucl. Phys., 1999,A648: 1059. Jong F D, Lenske H. Phys. Rev., 1998, C58: 89010. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 111. MA Z Y, LIU L. Phys. Rev., 2002, C66: 02432112. Tjon J A, Wallace S J. Phys. Rev., 1985, C32: 26713. Hugenholtz N M, Hove L V. Physica (Amsterdam), 1958,24: 36314. ZUO W, Bombaci I, Lombardo U. Phys. Rev., 1999, C60:024605; ZUO W, Lombardo U, LI Z H et al. HEP NP, 2003, 27: 31(in Chinese)(左维, Lombardo U, 李增花等. 高能物理与核物理, 2003, 27: 31)15. Salpeter E E, Bethe H A. Phys. Rev., 1951, 84: 123216. Brown G E, Weise W, Baym G et al. Comments Nucl. Phys., 1987, 17: 3917. ZUO W, Lejeune A, Lombardo U et al. Nucl. Phys., 2002, A706: 418; ZUO W, Lombardo U. HEP NP, 2002, 26: 1134(in Chinese)(左维, Lombardo U. 高能物理与核物理, 2002, 26: 1134); ZUO W et al. HEP NP, 2005, 29: 1061(in Chinese)(左维等. 高能物理与核物理, 2005, 29: 1061)18. Yaes R J. Phys. Rev., 1971, D3: 3086; Brockmann R, Machleidt R. The Dirac-Brueckner Approach. In NuclearMethods and the Nuclear Equation of State. Baldo M ed.Singapore: World Scienti c, 1999. 12119. Thompson R H. Phys. Rev., 1970, D1: 11020. Blankenbecler R, Sugar R. Phys. Rev., 1966, 142: 1051; Partovi M H, Lomon E L. Phys. Rev., 1970, D2: 199921. Bethe H A, Brandow B H, Petschek A G. Phys. Rev., 1963, 129: 225; Baldo M. The Many-body Theory of the Nu-clear EOS. In Nuclear Methods and the Nuclear Equationof State. Baldo M ed. Singapore: World Scienti c, 1999. 122. Jeukenne J P, Lejeune A, Mahaux C. Phys. Rep., 1976, 25C: 8323. Baldo M, Bombaci I, Ferreira L S et al. Phys. Lett., 1988, B209: 13524. Hufner J, Mahaux C. Ann. Phys., 1972, 73: 525; Grang_eP, Cugnon J, Lejeune A. Nucl. Phys., 1987, A473: 36525. ZUO W, Lombardo U, Schulze H J. Phys. Lett., 1998, B432: 24126. ZUO W, Giansiracusa G, Lombardo U. Phys. Lett., 1998, B421: 127. Kondratyuk S, Scholten O. Phys. Rev., 1999, C59: 107028. Frick T, Gad Kh, Muther H. Phys. Rev., 2002, 65: 03432129. Baldo M, Bombaci I, Giansiracusa G et al. Phys. Rev., 1990, C41: 174830. Baldo M, Bombaci I, Giansiracusa G et al. Nucl. Phys., 1991, A530: 135

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[14]	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.
[15]	ZHU Zheng-Kun , ZHANG Xiao-Ze , JIN Xing-Nan , SA Ben-Hao . IMPROVEMENT OF THERMODYNAMICAL MONTE CARLO SIMULATION IN SU(2) PURE GAUGE FIELD THEORY ——AN APPROACH TO CONTINUUM PHYSICS LIMIT. Chinese Physics C, 1989, 13(4): 339-345.
[16]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL (Ⅱ). Chinese Physics C, 1987, 11(2): 182-185.
[17]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL. Chinese Physics C, 1986, 10(1): 24-31.
[18]	ZHONG Ji-Quan , GE Ling-Xiao , LIU Jian-Ye , YU Xian . A DYNAMICAL METHOD IN DEEP IN ELASTIC COLLISION OF HEAVY IONS. Chinese Physics C, 1983, 7(5): 598-604.
[19]	WANG CHENG-SHING . QUASI-THERMODYNAMIC THEORY ON FISSION CHARGE DISTRIBUTION. Chinese Physics C, 1982, 6(4): 466-471.
[20]	WU JING-YUAN , XIE YI-CHENG . PROTON-NUCLEUS SCATTERING IN A THERMODYNAMICAL FIREBALL MODEL. Chinese Physics C, 1981, 5(1): 29-38.

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LUO Pei-Yan, ZUO Wei, LI Zeng-Hua, YONG Gao-Chan and XU Zhong-Feng. DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations[J]. Chinese Physics C, 2006, 30(10): 976-982.

LUO Pei-Yan, ZUO Wei, LI Zeng-Hua, YONG Gao-Chan and XU Zhong-Feng. DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations[J]. Chinese Physics C, 2006, 30(10): 976-982. shu

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Received: 2005-12-26
Revised: 2006-01-23

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沈阳化工大学材料科学与工程学院沈阳 110142

DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

Corresponding author: ZUO Wei,

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2005-12-26

Accepted Date: 2006-01-23

Available Online: 2006-10-05

Abstract: Within the framework of Dirac Brueckner-Hartree-Fock (DBHF) approach, we calculate the energy per nucleon, the pressure, the nucleon self-energy and the single-nucleon energy in the nuclear matter by adopting two different covariant representations for T-matrix. We mainly investigate the influence of different covariant representations on the satisfiable extent of the Hugenholtz-Van Hove (HVH) theorem in the nuclear medium in the framework of DBHF. By adopting the two different covariant representations of T-matrix, the predicted nucleon self-energy shows a quite different momentum and density dependence. Different covariant representations affect remarkably the satisfiable extent of the HVH theorem. By adopting the complete pseudo-vector representation of the T-matrix, HVH theorem is largely violated, which is in agreement with the result in the non-relativistic Brueckner-Hartree-Fock approach and reflects the importance of ground state correlations for single nucleon properties in nuclear medium, whereas by using the pseudo-scalar representation, the ground state correlation cannot be shown. It indicates that the complete pseudo-vector presentation is more feasible than the pseudo-scalar one.

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DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

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