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Chinese Physics C> 2003, Vol. 27> Issue(11) : 999-1004 

Equation of State of Spin-Polarized Neutron Metier

  •  Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, ChinaINFN-LNS, 44 Via S. Sofia, I-95123 Catania, Italy

  • Within the spin-dependent Brueckner-Hatree-Fock framework, the equation of state of the spin-polarized neutron matter has been investigated by adopting the realistic nucleon-nucleon interaction AV18 supplemented with a microscopic three-body force. The related physical quantities such as spin-symmetry energy, magnetic susceptibility and the Landau parameter G0 in spin channel, have been extracted. The three-body force effects have been studied and discussed with a special attention. It is shown that in the whole range of spin-polarization, the energy per particle of spin-polarized neutron matter fulfills a quadratic relation versus the spin-polarization parameter δ= (p-p )/p . The predicted spin-symmetry energy is positive in the density region up to ρ = 0.8fm-3 and increase monotonically as increasing density so that no any evidence is found for a spontaneous transition to a ferromagnetic state in neutron matter. The three-body force effect is to strongly increase the spin-symmetry energy and reduce the magnetic susceptibility at high densities, as a consequence , to make neutron matter become more stable against spin fluctuation. The obtained Landau parameter G0 and its density dependence may serve as a constraint on the spin-spin parts of the phenomenological Skyrme and Skyrme-like interactions .
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    [1] Pacini F. Nature, 1967, 216:567; Gold T. Nature, 1968, 218:731 2 Taylor J H, Stinebring D R. Annu. Rev. Astron. Astrophys., 1986, 24:2853 Chanmugan G, Brecher K. nature, 1987, 329:696; Colpi M, Possenti A, Popov S et al. Lecture Notes in Physics, 2001, 578:4404 Silverstein S D, Phys. Rev. Lett., 1969, 23:139; Clark J W. Phys. Rev. Lett., 1969, 23: 1463; Pearson J M, Saunier G. Phys. Rev. Lett,, 1970, 24:325; Pandharipande V R, Garde V K, Srivastava J K. Phys. Lett., 1972, B38:485; Vidaurre A, Navarro J, Bernabeu J. Astron. Astrophys., 1984, 135:361; Niembro R, Narcos S, Quelle M L et al. Phys. Lett., 1990, B249:373; Cugnon J, Deneye P, Lejeune A. Europhys. Lett., 1992, 17:1295 Kouveliotou C et al. Nature, 1998, 393:235; Hurley K et al. Astrophys. J., 1999, 510: L1116 Fantoni S, Sarsa A, Schmidt K E. Phys. Rev. Lett., 2001, 87: 1811017 Maruyama T, Tatsumi T. Nucl. Phys., 2001, A693:7108 Vidana I, Polls A, Ramos A. Phys. Rev., 2002, C65:035804; Vidana I, Bombaci N. Phys. Rev., 2002, C66:0458019 Iwamoto N, Pethick C J. Phys. Rev., 1982, D25:31310 Reddy S, Prakash M, Lattimer J M et al. Phys. Rev., 1999, C59: 288811 Margueron J, Navarro J, Van Giai N. The Nuclear Many Body Problem 2001． NATO Sci. Series Ⅱ(Kluwer Acad Publ., Dordrecht, 2002) 329 12 Skyrme T H R. Nucl. Phys., 1959, 9:615; ZHOU Y Z, HAN L Y, WU X Z et al. Prog. Theor. Phys., 1998, 79:100 13 Coestor F, Cohen S, Day B et al. Phys. Rev., 1970, C1:769 14 Baldo M. The Many–body Theory of the Nuclear Equation of State, in Nuclear Methods and the Nuclear Equation of State, Ed. Baldo M, Singapore: World Scientific, 1999; Machleidt R. Adv. Nucl. Phys., 1989, 16:189 15 ZUO Wei, Lombardo U, LIU Jian–Ye et al. High Energy Phys. and Nucl. Phys., 2002, 26:1238(in Chinese)(左维,Lombardo U,刘建业等.高能物理与核物理,2002,26:1238)16 ZUO Wei, Lombardo U, LI Zeng–Hua et al. High Energy Phys. and Nucl. Phys., 2002, 26:1134(in Chinese)(左维,Lombardo U,李增花等.高能物理与核物理,2002,26:1134) 17 Bethe H A, Brandow B H, Petschek A G. Phys. Rev., 1963, 129: 225; Day B D. Rev. Mod. Phys., 1967, 39:719; Jeukenne J P, Lejeune A, Mahaux C. Phys. Rep., 1976, 25:8318 Baldo M, Bombaci I, Giansiracusa G et al. Phys. Rev., 1990, C41: 1748; ZUO Wei, Lombardo U, LI Zeng–Hua et al. High Energy Phys. and Nucl. Phys., 2002, 26:703(in Chinese)(左维,Lombardo U,李增花等.高能物理与核物理,2002,26:703)19 SONG H Q, Baldo M, Giansiracusa G et al. Phys. Rev. Lett., 1998, 81: 1584 20 Sartor R. Chapter 6 in Nuclear Methods and the Nuclear Equation of State, Ed. Baldo M. Singapore: World Scientific, 1999 21 Wiringa R B, Stoks V G J, Schiavilla R. Phys. Rev., 1995, C51:28 22 Grange P, Lejeune A, Martzolff M et al. Phys. Rev., 1989, C40: 104023 Landau L D. Sov. Phys. JETP, 1956, 3:920; 1957, 5:101; 1959,8:7024 Backman S O, Brown G E, Niskanen J A. Phys. Reps., 1985, 124:1

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ZUO Wei, Lombardo U, SHEN Cai-Wan, LIU Jian-Ye and LI Jun-Qing. Equation of State of Spin-Polarized Neutron Metier[J]. Chinese Physics C, 2003, 27(11): 999-1004.
ZUO Wei, Lombardo U, SHEN Cai-Wan, LIU Jian-Ye and LI Jun-Qing. Equation of State of Spin-Polarized Neutron Metier[J]. Chinese Physics C, 2003, 27(11): 999-1004. shu
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Received: 2003-02-19
Revised: 1900-01-01
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Equation of State of Spin-Polarized Neutron Metier

    Corresponding author: ZUO Wei,
  • Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, ChinaINFN-LNS, 44 Via S. Sofia, I-95123 Catania, Italy
  • Received Date: 2003-02-19
  • Accepted Date: 1900-01-01
  • Available Online: 2003-11-05

Abstract: Within the spin-dependent Brueckner-Hatree-Fock framework, the equation of state of the spin-polarized neutron matter has been investigated by adopting the realistic nucleon-nucleon interaction AV18 supplemented with a microscopic three-body force. The related physical quantities such as spin-symmetry energy, magnetic susceptibility and the Landau parameter G0 in spin channel, have been extracted. The three-body force effects have been studied and discussed with a special attention. It is shown that in the whole range of spin-polarization, the energy per particle of spin-polarized neutron matter fulfills a quadratic relation versus the spin-polarization parameter δ= (p-p )/p . The predicted spin-symmetry energy is positive in the density region up to ρ = 0.8fm-3 and increase monotonically as increasing density so that no any evidence is found for a spontaneous transition to a ferromagnetic state in neutron matter. The three-body force effect is to strongly increase the spin-symmetry energy and reduce the magnetic susceptibility at high densities, as a consequence , to make neutron matter become more stable against spin fluctuation. The obtained Landau parameter G0 and its density dependence may serve as a constraint on the spin-spin parts of the phenomenological Skyrme and Skyrme-like interactions .

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