Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter

ZUO Wei

Chinese Physics C> 2002, Vol. 26> Issue(11) : 1134-1141

Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter

ZUO Wei ^,

Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China2 Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China3 INFN LNS,44 Via S. Sofia,I 95123 Catania,Italy

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Abstract：
Within Brueckner-Hartree-Fock framework,the equation of state of nuclear matter has been investigated by adopting the charge dependent Argonne V₁₈ two-body realistic force and the microscopic three-body forces based on a meson-exchange model. The contributions to the equation of state from the three-body forces due to different microscopic elementary processes have been calculated and discussed carefully. It is shown by comparing with the results from the relativistic Dirac-BHF approach that the main relativistic correction to nuclear equation of state can be-reproduced fairly well by the present Brueckner-Hartree-Fock calculations including only the three-body force originated from the scalar σ meson exchange coupling to the virtual excitation of a nucleon-antinucleon pair. However,the effects of the three body forces due to other processes can not be cancelled completely with each other,and even around the saturation density of nuclear matter,their net contribution is not neglegible.

References

[1]

. LI B A ,Ko C M ,Bauer W .Inter.J.Mod.Phys.,1998,E7:147;Aichelin J,Rosenhauer A ,Peilert G et al.Phys.Rep.,1991,202:233;Bertsch G F ,Gupta S D as.Phys.Rep.,1988,160:1892. Arnett W D ,Bowers R L .Astrophys.J.Suppl.,1977,33:415;Weber F ,Glendenning N K .Invitted Courseon Hadronic Matterand Rotating Relativistic Neutron Stars at the International Summer Schoolon Nuclear Astrophysics,Tianjin,P .R .China,June17—27,1991;Morten Hjorth Jensen.Phys.Rev.Lett.,1998,80:5485;Bombaci I.Neutron Star Structure and Nuclear Equation of State,in Nuclear Methods and Nuclear Equation of State.Ed.M .Boldo,Singapore:World Scientific,1999 3. Friedman B ,Pandharipande V R .Nucl.Phys.,1981,A361:502 4. Wiringa R B ,Fiks V ,Fabrocini A .Phys.Rev.,1988,C38:1010 5. Akmal A ,Pandharipande V R .Phys.Rev.,1997,C56:2261;Phys.Rev.,1998,C58:18046. Machleidt R .Adv.Nucl.Phys.,1989,16:189及其中所引文献 7. Haar Bter,Malfliet R .Phys.Rep.,1987,149:207;Phys.Rev.Lett.,1987,59:16528. Brockmann R ,MachleidtR .Phys.Rev.,1990,C42:1965;The Dirac Brueckner Approach,in Nuclear Methods and the Nuclear Equation of State.Ed.M .Baldo,Singapore:World Scientific,1999及其中所引文献9. Engvik L ,HjorthJensen M ,Osnes E et al.Phys.Rev.Lett.,1994,73:2650;Astrophys.Journ.,1996,469:794 10. Sehn L ,Fuchs C ,Faessler A .Phys.Rev.,1997,C56:216 11. Fuchs C ,Waindzoch T ,Faessler A et al.Phys.Rev.,1998,C58:202212. Gross Boelting T ,Fuchs C ,Faessler A .Nucl.Phys.,1999,A648:10513. Horowitz C J,Serot B D .Nucl.Phys.,1987,A464:613 14. Anastasio M R ,Celenza L S ,Shakin C M .Phys.Rev.Lett.,1980,45:2096 15. Jong Fde,Lenske H .Phys.Rev.,1998,C57:309916. Brown G E ,Weise W ,Baym G et al.Comments Nucl.Phys.,1987,17:3917. Serot B D ,Walecka J D .Int.Journ.Mod.Phys.,1997,E6:51518. Grange P ,Lejeune A ,Martzolff M .Phys.Rev.,1989,C40:104019. Jeukenne J P ,Lejeune A ,Mahaux C .Phys.Rep.,1976,25:83及其中所引文献20. Baldo M .The Many body Theory of the Nuclear Equation of State,in Nuclear Methods and the Nuclear Equation of State.Ed.M .Baldo,Singapore:World Scientific,1999及其中所引文献21. SONG H Q ,Baldo M ,Giansiracusa G et al.Phys.Rev.Lett.,1998,81:158422. Lejeune A ,Lombardo U ,ZUO W .Phys.Lett.,2000,477:45 23. Bombaci I,KuoTTS ,LombardoU .Phys.Rep.,1994,242:165 24. Baldo M ,Bombaci I,Burgio G F .Astron.Astrophys.,1997,328:27425. Coestor et al.Phys.Rev.,1970,C1:765 26. Baldo M ,Giansiracusa G ,Lombardo U et al.Nucl.Phys.,1995,A583:599 27. Bethe H A ,Brandow B H ,Petschek A G .Phys.Rev.,1963,129:22528. Wiringa R B ,Stoks V G J,Schiavilla R .Phys.Rev.,1995,C51:28 29. Ellis R G ,Coon S A ,Me Kellar B H J.Nucl.Phys.,1985,A438:631 30. Blaizot J P .Phys.Rep.,1980,65:171

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[13]	Liu Qingjun , Zhao Weiqin . Geometric and Fragmentation Effects of Leading Particle Rapidity Distributions for High Energy p-Ag Collisions. Chinese Physics C, 1995, 19(4): 340-347.
[14]	Zhuang Pengfei , Liu Lianshou . Linear Background and Nonlinear Effect in Relativistic Heavy Ion Collisions. Chinese Physics C, 1994, 18(2): 143-147.
[15]	LI Zhu-Xia , SHI Yi-Jin , WU Xi-Zhen , WANG Zhong-Qi , ZHUO Yi-Zhong . QUANTUM EFFECT AND ONE-BODY DISSIPATION. Chinese Physics C, 1990, 14(4): 352-358.
[16]	HOU Yun-Zhi , WANG Yi-Li . THE RELATIVISTIC NUCLEAR MODEL AND EMC EFFECT. Chinese Physics C, 1989, 13(1): 35-41.
[17]	LI Zi-Bang , PENG Hong-An . STATISTICAL MODEL OF PARTONS IN NUCLEON,EMC EFFECT AND GLUE DISTRIBUTION FUNCTIONS OF NUCLEON. Chinese Physics C, 1988, 12(1): 55-62.
[18]	GE Ling-Xiao , LIU Jian-Ye , WANG Shun-Jin . TWO-BODY EFFECT IN HEAVY ION COLLISION. Chinese Physics C, 1987, 11(5): 695-698.
[19]	LU Shu-Cheng , PAN Zheng-Ying , WANG Yan-Seng . DIFFUSENESS AND DEFORMATION EFFECT IN NUCLEAR CHARGE RADIUS. Chinese Physics C, 1985, 9(5): 594-602.
[20]	LIU SHIAN-HUI , LI YANG-GUO . SPIN EFFECT AND π-N OFF SHELL AMPLITUDE CORRECTION ON π-NUCLEUS DOUBLE CHARGE EXCHANGE REACTION. Chinese Physics C, 1982, 6(3): 292-296.

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ZUO Wei. Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter[J]. Chinese Physics C, 2002, 26(11): 1134-1141.

ZUO Wei. Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter[J]. Chinese Physics C, 2002, 26(11): 1134-1141. shu

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Received: 2001-11-30
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

Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter

Corresponding author: ZUO Wei,

Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China2 Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China3 INFN LNS,44 Via S. Sofia,I 95123 Catania,Italy

Received Date: 2001-11-30

Accepted Date: 1900-01-01

Available Online: 2002-11-05

Abstract: Within Brueckner-Hartree-Fock framework,the equation of state of nuclear matter has been investigated by adopting the charge dependent Argonne V₁₈ two-body realistic force and the microscopic three-body forces based on a meson-exchange model. The contributions to the equation of state from the three-body forces due to different microscopic elementary processes have been calculated and discussed carefully. It is shown by comparing with the results from the relativistic Dirac-BHF approach that the main relativistic correction to nuclear equation of state can be-reproduced fairly well by the present Brueckner-Hartree-Fock calculations including only the three-body force originated from the scalar σ meson exchange coupling to the virtual excitation of a nucleon-antinucleon pair. However,the effects of the three body forces due to other processes can not be cancelled completely with each other,and even around the saturation density of nuclear matter,their net contribution is not neglegible.

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Effects of Three-body Forces and Relativistic Effect on Equation of State of Nuclear Matter

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