Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

ZUO Wei; LU Guang-Cheng; LI Zeng-Hua; LUO Pei-Yan

Chinese Physics C> 2005, Vol. 29> Issue(11) : 1061-1066

Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

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

Abstract
HTML
Reference
Related

PDF

Abstract：
The finite temperature Brueckner-Hartree-Fock (FTBHF) approach is extended by introducing a microscopic three-body force. Within the extended approach, the three-body force effects on the equation of state of hot nuclear matter and its temperature dependence have been investigated. The critical properties of the liquid-gas phase transition of hot nuclear matter have been calculated. It is shown that the three-body force provides a repulsive contribution to the equation of state of hot nuclear matter. The repulsive effect of the three-body force becomes more pronounced as the density and temperature increase and consequently inclusion of the three-body force contribution in the calculation reduces the predicted critical temperature from about 16MeV to about 13MeV. By separating the contribution originated from the 2σ-exchange process coupled to the virtual excitation of a nucleon-antinucleon pair from the full three-body force, the connection between the three-body force effect and the relativistic correction from the Dirac-Brueckner-Hartree-Fock has been explored. It turns out that the contribution of the 2σ-NN part is more repulsive than that of the full three-body force and the calculated critical temperature is about 11MeV if only the 2σ-NN component of the three-body force is included which is lower than the value obtained in the case of including the full three-body force and is close to the value predicted by the Dirac-Brueckner-Hartree-Fock (DBHF) approach. Our result provides a reasonable explanation for the discrepancy between the values of critical temperature predicted from the FTBHF approach including the three-body force and the DBHF approach.

References

[1]

. Friedman B, Pandharipande V R. Nucl. Phys., 1981, A361:5022. Bertsch G, Siemens P J. Phys. Lett., 1983, B126: 93. Pethick C J, Ravenhall D G. Nucl. Phys., 1987, A471: 194. Satpathy L, Mishra M, Nayak R. Phys. Rev., 1989, C39:1625. Baldo M, Giansiracuso G, Lombardo U et al. Nucl. Phys.,1995, A583: 589c6. Bonche P, Levit S, Vautherin D. Nucl. Phys., 1984, A427:278; 1985, A436: 2567. Pochodzalla J, Mohlenkemp T, Rubehn T et al. Phys. Rev.Lett., 1995, 75: 10408. Natowitz J B, Wada R, Hagel K et al. Phys. Rev., 2002,C65: 034618; Lopez O. Nucl. Phys., 2001, A685: 2469. Gupta S D, Mekjian A Z, Tsang M B. Adv. Nucl. Phys.,2001, 26: 9110. Prakash M, Bombaci I, Prakash M et al. Phys. Rep., 1997,280: 111. Strobel K, Sohaab C, Weigel M K. Astron. Astrophys.,1999, 350: 49712. Jaqaman H R, Mekjian A Z, Zamick L. Phys. Rev., 1983,C27: 2782; 1984, C29: 206713. Lattimer J M, Pethick C J, Ravenhall D G et al. Nucl.Phys., 1985, A432: 64614. SU R K, YANG S D, Kuo T T S. Phys. Rev., 1987, C35:1539; SONG H Q, SU R K. Phys. Rev., 1991, C44: 250515. Catalano D, Giansiracusa G, Lombardo U. Nucl. Phys.,2001, A681: 39016. Glendenning N K. Nucl. Phys., 1987, A469: 60017. M#252;ller H, Serot B D. Phys. Rev., 1995, C52: 207218. Haar B ter, Malfliet R. Phys. Rep., 1987, 149: 20719. Huber H, Weber F, Weigel M K. Phys. Rev., 1998, C57:348420. ZUO W, Lejeune A, Lombardo U et al. Nucl. Phys., 2002,A706: 418; ZUO W, Lombardo U. High Energy Phys. andNucl. Phys., 2002, 26: 1134(in Chinese)(左维，Lombardo U.高能物理与核物理，2002, 26: 1134)21. Brockmann R, Malfliet R. Phys. Rev., 1990, C42: 196522. Fuchs C. Lect. Notes Phys., 2004, 641: 11923. Grang#233; P, Lejeune A, Martzolff M et al. Phys. Rev., 1989,C40: 104024. Lejeune A, Grang′e P, Martzolff M et al. Nucl. Phys., 1986,A453: 18925. Baldo M. Nuclear Methods and the Nuclear Equation ofState. Ed Baldo M. Singapore: World Scientific, 1999. 126. Bombaci I, Kuo T T S, Lombardo U. Phys. Rep., 1994,242: 16527. Wiringa R B, Stoks V G J, Schiavilla R. Phys. Rev., 1995,C51: 2828. Jeukenne J P, Lejeune A, Mahaux C. Phys. Rep., 1976,C25: 8329. SONG H Q, Baldo M, Giansiracusa G et al. Phys. Rev.Lett., 1998, 81: 158430. Baldo M, Bombaci I, Ferreira L S et al. Phys. Rev., 1991,C43: 260531. Baldo M, Bombaci I, Burgio G F. Astron. Astrophys., 1997,328: 27432. ZUO W, Bombaci I, Lombardo U. Phys. Rev., 1999, C60:02460533. Brown G E, Weise W, Baym G et al. Comments Nucl.Phys., 1987, 17: 39

[1]	ZUO Wei , LI Ang , LUO Pei-Yan , YONG Gao-Chan . Properties of Proto-Neutron Star and Effect of Three-Body Forces. Chinese Physics C, 2006, 30(10): 956-960.
[2]	ZUO Wei , LUO Pei-Yan , LI Bao-An , CHEN Ji-Yan , Lombardo U . Three-Body Force Rearrangement Contribution to Single Nucleon Potential in Nuclear Matter. Chinese Physics C, 2006, 30(9): 848-853.
[3]	ZUO Wei , LI Ang , CHEN Ji-Yan , LI Zeng-Hua . Kaon Condensation in Neutron Star Matter and Nuclear Three-Body Force Effect. Chinese Physics C, 2005, 29(7): 632-638.
[4]	ZUO Wei , LU Guang-Cheng , LI Zeng-Hua , LUO Pei-Yan . Rearrangement Contribution to Single Nucleon Potential in Hot Nuclear Matter and Three-body Force Effect. Chinese Physics C, 2005, 29(12): 1162-1166.
[5]	XING Yong-Zhong , LIU Jian-Ye , GUO Wen-Jun . Liquid-Gas Phase Transition and Isospin Fractionation in Intermediate Energy Heavy Ion Collisions. Chinese Physics C, 2004, 28(6): 607-610.
[6]	ZUO Wei , Lombardo U , LIU Jian-Ye , LI Jun-Qing . Properties of Isospin Asymmetric Nuclear Matter and Extended BHF Approach(Ⅴ) Three -Body Force Effect on Single-Particle Potential. Chinese Physics C, 2003, 27(7): 585-589.
[7]	ZHANG Han-Zhong , WANG En-Ke . Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field. Chinese Physics C, 2002, 26(5): 522-529.
[8]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[9]	ZUO Wei , U.Lombardo , LIU Jian-Ye , LI Zeng-Hua , LI Jun-Qing . Properties of Isospin Asymmetric Nuclear Matter and Extended Brueckner-Hartree-Fock Approach (Ⅱ) Equation of State,Symmetry Energy and Three-Body Force Effects. Chinese Physics C, 2002, 26(12): 1238-1246.
[10]	ZUO Wei . Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter. Chinese Physics C, 2002, 26(11): 1134-1141.
[11]	PENG GuangXiong , JIANG HuanQing , LIU ZhiJun , ZHOU LeMing , LIU Bo , CHENG XingGuo , LI JingHua . Charge Dependence of the Critical Density of Strange Quark Matter in a New Mass Scaling. Chinese Physics C, 2000, 24(8): 732-738.
[12]	QIAN Wei-Liang , SU Ru-Keng . Influence of Density Dependence of Vertex Coupling on Liquid-Gas Phase Transition of Nuclear Matter. Chinese Physics C, 2000, 24(S1): 100-103.
[13]	Dai Lianrong , Shen Pengnian , Zhang Zongye , Yu Youwen . Study of the (N)Channel Coupling Effect in Quark Model. Chinese Physics C, 1998, 22(2): 141-147.
[14]	Li Panlin , Wu Hua , Xu Mengjie . Dynamics of Phase Transition Including Quark-Fragment Effects foran Expansion Quark-Gluon Plasma. Chinese Physics C, 1997, 21(10): 918-925.
[15]	Wang Hui , Zheng Yuming , Sa Benhao , Zhang Xiaoze . Incomplete-Fusion-Fragmentation Model and Nuclear Liquid-Gas Phase Transition. Chinese Physics C, 1997, 21(1): 44-50.
[16]	Dai Guangxi , Wu Heyu , Duan Limin , Li Zuyu , He Zhiyong , Luo Qingzheng , Zhang Baoguo . The Threefold Fragmentation of Hot Nuclei With Medium Mass Number. Chinese Physics C, 1996, 20(7): 588-595.
[17]	Duan Yiwu . Three-Body Model of ¹¹Li. Chinese Physics C, 1995, 19(1): 59-63.
[18]	LI Ming , SONG Hong-Qiu . The Temperature Dependence of Giant Resonances in High-Excited Nucleus. Chinese Physics C, 1991, 15(2): 140-149.
[19]	LIU Hong-Min , SA Ben-Hao , ZHENG Yu-Ming , LU Zhong-Dao , ZHANG Xiao-Ze . Correlation of Moments and Critical Phenomenon in Disassembly of Hot Nuclei. Chinese Physics C, 1991, 15(11): 1053-1056.
[20]	ZHENG Guo-Tong , SU Ru-Keng . LIQUID-GAS PHASE TRANSITION OF SYMMETRIC NUCLEAR MATTER AND SGII-TYPE EFFECTIVE INTERACTIONS. Chinese Physics C, 1990, 14(4): 325-332.

Access

Get Citation

ZUO Wei, LU Guang-Cheng, LI Zeng-Hua and LUO Pei-Yan. Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect[J]. Chinese Physics C, 2005, 29(11): 1061-1066.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-02-22
Revised: 1900-01-01

Article Metric

Article Views(3567)
PDF Downloads(650)
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

Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

Corresponding author: ZUO Wei,

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

Received Date: 2005-02-22

Accepted Date: 1900-01-01

Available Online: 2005-11-05

Abstract: The finite temperature Brueckner-Hartree-Fock (FTBHF) approach is extended by introducing a microscopic three-body force. Within the extended approach, the three-body force effects on the equation of state of hot nuclear matter and its temperature dependence have been investigated. The critical properties of the liquid-gas phase transition of hot nuclear matter have been calculated. It is shown that the three-body force provides a repulsive contribution to the equation of state of hot nuclear matter. The repulsive effect of the three-body force becomes more pronounced as the density and temperature increase and consequently inclusion of the three-body force contribution in the calculation reduces the predicted critical temperature from about 16MeV to about 13MeV. By separating the contribution originated from the 2σ-exchange process coupled to the virtual excitation of a nucleon-antinucleon pair from the full three-body force, the connection between the three-body force effect and the relativistic correction from the Dirac-Brueckner-Hartree-Fock has been explored. It turns out that the contribution of the 2σ-NN part is more repulsive than that of the full three-body force and the calculated critical temperature is about 11MeV if only the 2σ-NN component of the three-body force is included which is lower than the value obtained in the case of including the full three-body force and is close to the value predicted by the Dirac-Brueckner-Hartree-Fock (DBHF) approach. Our result provides a reasonable explanation for the discrepancy between the values of critical temperature predicted from the FTBHF approach including the three-body force and the DBHF approach.

HTML

Reference (1)

Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article