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Chinese Physics C> 2015, Vol. 39> Issue(10) : 104102 DOI: 10.1088/1674-1137/39/10/104102

Particle-number fluctuation of pairing correlations for Dy isotopes

  • Within the relativistic mean field (RMF) theory, the ground state properties of dysprosium isotopes are studied using the shell-model-like approach (SLAP), in which pairing correlations are treated with particle-number conservation, and the Pauli blocking effects are taken into account exactly. For comparison, calculations of the Bardeen-Cooper-Schrieffer (BCS) model with the RMF are also performed. It is found that the RMF+SLAP calculation results, as well as the RMF+BCS ones, reproduce the experimental binding energies and one- and two-neutron separation energies quite well. However, the RMF+BCS calculations give larger pairing energies than those obtained by the RMF+SLAP calculations, in particular for nuclei near the proton and neutron drip lines. This deviation is discussed in terms of the BCS particle-number fluctuation, which leads to the sizable deviation of pairing energies between the RMF+BCS and RMF+SLAP models, where the fluctuation of the particle number is eliminated automatically.
      PCAS:
    • 21.60.Jz(Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))
    • 21.60.Cs(Shell model)

  • References

    [1] Walecka J D. Ann. Phys., 1974, 83(2): 491-529[2] Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 1[3] Reinhard P G. Rep. Prog. Phys., 1989, 52: 439-514[4] Gambhir Y K, Ring P, Thimet A. Ann. Phys. New York, 1990, 194: 132-179[5] Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193-263[6] MENG J, Toki H, ZHOU S G et al. Prog. Part. Nucl. Phys., 2006, 57: 470-563[7] Vretenar D, Afanasiev A V, Lalazissis G A. Phys. Rep., 2005, 409: 101-259[8] MENG J. Nucl. Phys. A, 1998, 635: 3-42[9] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. Lett., 2011, 107: 122501[10] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. C, 2012, 85: 054310[11] CAO L G, MA Z Y. Phys. Rev. C, 2002, 66: 024311[12] MA Z Y, Wandelt A, Giai N V et al. Nucl. Phys. A, 2002, 703: 222-239[13] REN Z Z, Toki H. Nucl. Phys. A, 2001, 689: 691-706[14] Knig J, Ring P. Phys. Rev. Lett., 1993, 71: 3079-3082[15] Arima A, Harvey M, Shimizu K. Phys. Lett. Sect. B, 1969, 30: 517-522[16] Ginocchio J N. Phys. Rev. Lett., 1997, 78: 436[17] Joseph N, Ginocchio. Phys. Rep., 2005, 414(4-5): 165-261[18] MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev. C, 1998, 58(2): R628[19] LIANG H Z, SHEN S H, ZHAO P W et al. Phys. Rev. C, 2013, 87: 014334[20] LV B N, ZHAO E G, ZHOU S G. Phys. Rev. C, 2013, 88: 024323[21] GENG L S, Toki H, Sugimoto S, MENG J. Prog. Theor. Phys., 2003, 110: 921[22] TIAN Y, MA Z Y, Ring P. Phys. Rev. C, 2009, 80: 024313[23] MENG J, GUO J Y, LIU L et al. Front. Phys. China, 2006, 1: 38-46[24] ZENG J Y, CHENG T S. Nucl. Phys. A, 1983, 405: 1-28[25] ZENG J Y, LEI Y A, JIN T H et al. Phys Rev C, 1994, 50: 746[26] LIU S X, ZENG J Y. Phys. Rev. C, 2002, 66(6): 067301[27] LIU S X, ZENG J Y, ZHAO E G. Phys. Rev. C, 2002, 66(2): 024320[28] WU X, ZHANG Z H, ZENG J Y et al. Phys. Rev. C, 2011, 83(3): 034323[29] ZHANG Z H, HE X T, ZENG J Y et al. Phys. Rev. C, 2012, 85(1): 014324[30] ZHANG Z H, MENG J, ZHAO E G et al. Phys. Rev. C, 2013, 87(5): 054308[31] LIU L, ZHAO P W. Chin. Phys. C, 2012, 36: 818-822[32] ZHANG Z H, ZHAO P W, MENG J et al. Phys. Rev. C, 2013, 87(5): 054314[33] LONG W, MENG J, Van Giai N et al. Phys. Rev. C, 2004, 69(3): 034319[34] WANG M, Audi G, Wapstra A H et al. Chin. Phys. C, 2012, 36: 1603-2014[35] Ring P, Schuck P. The Nuclear Many-Body Problem. Springer, 2004

  • References

    [1] Walecka J D. Ann. Phys., 1974, 83(2): 491-529[2] Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 1[3] Reinhard P G. Rep. Prog. Phys., 1989, 52: 439-514[4] Gambhir Y K, Ring P, Thimet A. Ann. Phys. New York, 1990, 194: 132-179[5] Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193-263[6] MENG J, Toki H, ZHOU S G et al. Prog. Part. Nucl. Phys., 2006, 57: 470-563[7] Vretenar D, Afanasiev A V, Lalazissis G A. Phys. Rep., 2005, 409: 101-259[8] MENG J. Nucl. Phys. A, 1998, 635: 3-42[9] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. Lett., 2011, 107: 122501[10] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. C, 2012, 85: 054310[11] CAO L G, MA Z Y. Phys. Rev. C, 2002, 66: 024311[12] MA Z Y, Wandelt A, Giai N V et al. Nucl. Phys. A, 2002, 703: 222-239[13] REN Z Z, Toki H. Nucl. Phys. A, 2001, 689: 691-706[14] Knig J, Ring P. Phys. Rev. Lett., 1993, 71: 3079-3082[15] Arima A, Harvey M, Shimizu K. Phys. Lett. Sect. B, 1969, 30: 517-522[16] Ginocchio J N. Phys. Rev. Lett., 1997, 78: 436[17] Joseph N, Ginocchio. Phys. Rep., 2005, 414(4-5): 165-261[18] MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev. C, 1998, 58(2): R628[19] LIANG H Z, SHEN S H, ZHAO P W et al. Phys. Rev. C, 2013, 87: 014334[20] LV B N, ZHAO E G, ZHOU S G. Phys. Rev. C, 2013, 88: 024323[21] GENG L S, Toki H, Sugimoto S, MENG J. Prog. Theor. Phys., 2003, 110: 921[22] TIAN Y, MA Z Y, Ring P. Phys. Rev. C, 2009, 80: 024313[23] MENG J, GUO J Y, LIU L et al. Front. Phys. China, 2006, 1: 38-46[24] ZENG J Y, CHENG T S. Nucl. Phys. A, 1983, 405: 1-28[25] ZENG J Y, LEI Y A, JIN T H et al. Phys Rev C, 1994, 50: 746[26] LIU S X, ZENG J Y. Phys. Rev. C, 2002, 66(6): 067301[27] LIU S X, ZENG J Y, ZHAO E G. Phys. Rev. C, 2002, 66(2): 024320[28] WU X, ZHANG Z H, ZENG J Y et al. Phys. Rev. C, 2011, 83(3): 034323[29] ZHANG Z H, HE X T, ZENG J Y et al. Phys. Rev. C, 2012, 85(1): 014324[30] ZHANG Z H, MENG J, ZHAO E G et al. Phys. Rev. C, 2013, 87(5): 054308[31] LIU L, ZHAO P W. Chin. Phys. C, 2012, 36: 818-822[32] ZHANG Z H, ZHAO P W, MENG J et al. Phys. Rev. C, 2013, 87(5): 054314[33] LONG W, MENG J, Van Giai N et al. Phys. Rev. C, 2004, 69(3): 034319[34] WANG M, Audi G, Wapstra A H et al. Chin. Phys. C, 2012, 36: 1603-2014[35] Ring P, Schuck P. The Nuclear Many-Body Problem. Springer, 2004

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CHENG Ming-Jian, LIU Lang and ZHANG Yi-Xin. Particle-number fluctuation of pairing correlations for Dy isotopes[J]. Chinese Physics C, 2015, 39(10): 104102. doi: 10.1088/1674-1137/39/10/104102
CHENG Ming-Jian, LIU Lang and ZHANG Yi-Xin. Particle-number fluctuation of pairing correlations for Dy isotopes[J]. Chinese Physics C, 2015, 39(10): 104102.  doi: 10.1088/1674-1137/39/10/104102 shu
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Received: 2014-11-21
Revised: 1900-01-01
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Particle-number fluctuation of pairing correlations for Dy isotopes

    Corresponding author: LIU Lang,
  • Received Date: 2014-11-21
  • Accepted Date: 1900-01-01
  • Available Online: 2015-10-10

Abstract: Within the relativistic mean field (RMF) theory, the ground state properties of dysprosium isotopes are studied using the shell-model-like approach (SLAP), in which pairing correlations are treated with particle-number conservation, and the Pauli blocking effects are taken into account exactly. For comparison, calculations of the Bardeen-Cooper-Schrieffer (BCS) model with the RMF are also performed. It is found that the RMF+SLAP calculation results, as well as the RMF+BCS ones, reproduce the experimental binding energies and one- and two-neutron separation energies quite well. However, the RMF+BCS calculations give larger pairing energies than those obtained by the RMF+SLAP calculations, in particular for nuclei near the proton and neutron drip lines. This deviation is discussed in terms of the BCS particle-number fluctuation, which leads to the sizable deviation of pairing energies between the RMF+BCS and RMF+SLAP models, where the fluctuation of the particle number is eliminated automatically.

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