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Chinese Physics C > 2020, Vol. 44 > Issue(12): 124104 DOI: 10.1088/1674-1137/abb4d1

Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods

  • 1.

    School of Physics, Nanjing University, Nanjing 210093, China

  • 2.

    General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka, Osaka 535-8585, Japan

  • 3.

    Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047, Japan

  • 4.

    College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210093, China

  • Using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon–nucleon ( $NN$ ) interactions, the nuclear equations of state (EOSs) for neutron matter are calculated with the unitary correlation operator and high-momentum pair methods. Neutron matter is described using a finite particle number approach with magic number $N=66$ under a periodic boundary condition. The central short-range correlation originating from the short-range repulsion in the $NN$ interaction is treated by the unitary correlation operator method (UCOM), and the tensor correlation and spin-orbit effects are described by the two-particle two-hole (2 p2 h) excitations of nucleon pairs, where the two nucleons with a large relative momentum are regarded as a high-momentum (HM) pair. With increasing 2 p2 hconfigurations, the total energy per particle of the neutron matter is well-converged under this UCOM+HM framework. Comparing the results calculated with AV4', AV6', and AV8' $NN$ interactions, we demonstrate the effects of the short-range correlation, tensor correlation, and spin-orbit coupling on the density dependence of the total energy per particle of neutron matter. Moreover, the contribution of each Hamiltonian component to the total energy per particle is discussed. The EOSs of neutron matter calculated within the present UCOM+HM framework agree with the calculations of six microscopic many-body theories, especially the auxiliary field-diffusion Monte Carlo calculations.
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  • References

    [1] J. M. Lattimer and M. Prakash, Phys. Rep.,333: 121 (2000)
    [2] C. J. Horowitz and J. Piekarewicz, Phys. Rev. Lett.,86: 5647 (2001) doi:10.1103/PhysRevLett.86.5647
    [3] A. W. Steiner, M. Prakash, J. M. Lattimeret al., Phys. Rep.,411: 325 (2005) doi:10.1016/j.physrep.2005.02.004
    [4] B. A. Li, L. W. Chen, and C. M. Ko, Phys. Rep.,464: 113 (2008) doi:10.1016/j.physrep.2008.04.005
    [5] B. K. Sharma and S. Pal, Phys. Lett. B,682: 23 (2009) doi:10.1016/j.physletb.2009.10.098
    [6] L. W. Chen, C. M. Ko, and B. A. Li, Phys. Rev. Lett.,94: 032701 (2005) doi:10.1103/PhysRevLett.94.032701
    [7] D. V. Shetty, S. J. Yennello, and G. A. Souliotis, Phys. Rev. C,76: 024606 (2007) doi:10.1103/PhysRevC.76.024606
    [8] B. S. Pudliner, A. Smerzi, J. Carlsonet al., Phys. Rev. Lett.,76: 2416 (1996) doi:10.1103/PhysRevLett.76.2416
    [9] P. Danielewicz and J. Lee, Nucl. Phys. A,818: 36 (2009) doi:10.1016/j.nuclphysa.2008.11.007
    [10] S. Gandolfi, J. Carlson, and S. C. Pieper, Phys. Rev. Lett.,106: 012501 (2011) doi:10.1103/PhysRevLett.106.012501
    [11] S. H. Shen, H. Z. Liang, J. Menget al., Phys. Lett. B,778: 344 (2018) doi:10.1016/j.physletb.2018.01.058
    [12] L. W. Chen, C. M. Ko, and B. A. Li, Phys. Rev. C,72: 064309 (2005) doi:10.1103/PhysRevC.72.064309
    [13] B. G. Todd-Rutel and J. Piekarewicz, Phys. Rev. Lett.,95: 122501 (2005) doi:10.1103/PhysRevLett.95.122501
    [14] M. A. Famiano, T. Liu, W. G. Lynchet al., Phys. Rev. Lett.,97: 052701 (2006) doi:10.1103/PhysRevLett.97.052701
    [15] C. Xu and B. A. Li, Phys. Rev. C,81: 044603 (2010) doi:10.1103/PhysRevC.81.044603
    [16] C. Xu, Z. Ren, and J. Liu, Phys. Rev. C,90: 064310 (2014) doi:10.1103/PhysRevC.90.064310
    [17] N. Wang, M. Liu, X. Z. Wuet al., Phys. Lett. B,734: 215 (2014) doi:10.1016/j.physletb.2014.05.049
    [18] N. Wan, C. Xu, Z. Renet al., Phys. Rev. C,97: 051302 (2018) doi:10.1103/PhysRevC.97.051302
    [19] Y. Ma, C. Su, J. Liuet al., Phys. Rev. C,101: 014304 (2020)
    [20] R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C,51: 38 (1995)
    [21] S. C. Pieper and R. B. Wiringa, Annu. Rev. Nucl. Part. Sci.,51: 53 (2001) doi:10.1146/annurev.nucl.51.101701.132506
    [22] R. B. Wiringa and S. C. Pieper, Phys. Rev. Lett.,89: 182501 (2002) doi:10.1103/PhysRevLett.89.182501
    [23] T. Myo, H. Toki, K. Ikedaet al., Prog. Theor. Exp. Phys.,2015: 073D02 (2015) doi:10.1093/ptep/ptv087
    [24] T. Myo, H. Toki, K. Ikedaet al., Phys. Lett. B,769: 213 (2017) doi:10.1016/j.physletb.2017.03.059
    [25] T. Myo, H. Toki, K. Ikedaet al., Phys. Rev. C,95: 044314 (2017) doi:10.1103/PhysRevC.95.044314
    [26] T. Myo, H. Toki, K. Ikedaet al., Phys. Rev. C,96: 034309 (2017) doi:10.1103/PhysRevC.96.034309
    [27] T. Myo, H. Toki, K. Ikedaet al., Prog. Theor. Exp. Phys.,2017: 073D01 (2017)
    [28] Y. Kanada-En’ yo, M. Kimura, and H. Horiuchi, C. R. Phys.,4: 497 (2003) doi:10.1016/S1631-0705(03)00062-8
    [29] T. Yamada, Ann. Phys.,403: 1 (2019) doi:10.1016/j.aop.2019.01.006
    [30] T. Yamada, T. Myo, H. Horiuchiet al., arXiv: 1808.08120 [nucl-th] (to be published in Prog. Theor. Exp. Phys.)
    [31] H. Feldmeier, T. Neff, R. Rothet al., Nucl. Phys. A,632: 61 (1998) doi:10.1016/S0375-9474(97)00805-1
    [32] T. Neff and H. Feldmeier, Nucl. Phys. A,713: 311 (2003) doi:10.1016/S0375-9474(02)01307-6
    [33] T. Myo, H. Toki, and K. Ikeda, Prog. Theor. Phys.,121: 511 (2009) doi:10.1143/PTP.121.511
    [34] T. Myo, A. Umeya, H. Tokiet al., Phys. Rev. C,84: 034315 (2011) doi:10.1103/PhysRevC.84.034315
    [35] T. Myo, A. Umeya, K. Horiiet al., Prog. Theor. Exp. Phys.,2014: 033D01 (2014) doi:10.1093/ptep/ptu012
    [36] J. Hu, H. Toki, Wu Wenet al., Phys. Lett. B,687: 271 (2010) doi:10.1016/j.physletb.2010.03.027
    [37] J. Hu, H. Toki, Wu Wenet al., J. Basic Appl. Phys.,1: 1 (2012)
    [38] J. Hu, H. Toki, and Y. Ogawa, Prog. Theor. Exp. Phys.,2013: 103D02 (2013)
    [39] T. Myo, Prog. Theor. Exp. Phys.,2018: 031D01 (2018)
    [40] M. Lyu, M. Isaka, T. Myoet al., Prog. Theor. Exp. Phys.,2018: 011D01 (2018)
    [41] M. Lyu, T. Myo, M. Isakaet al., Phys. Rev. C,98: 064002 (2018) doi:10.1103/PhysRevC.98.064002
    [42] T. Myo, H. Toki, K. Ikedaet al., Prog. Theor. Exp. Phys.,2017: 111D01 (2017)
    [43] Q. Zhao, M. Lyu, Z. Renet al., Phys. Rev. C,99: 034311 (2019) doi:10.1103/PhysRevC.99.034311
    [44] N. Itagaki and A. Tohsaki, Phys. Rev. C,97: 014304 (2018)
    [45] M. Baldo, A. Polls, A. Rioset al., Phys. Rev. C,86: 064001 (2012) doi:10.1103/PhysRevC.86.064001
    [46] H. Q. Song, M. Baldo, G. Giansiracusaet al., Phys. Rev. Lett.,81: 1584 (1998) doi:10.1103/PhysRevLett.81.1584
    [47] M. Baldo, G. Giansiracusa, U. Lombardoet al., Phys. Lett. B,473: 1 (2000) doi:10.1016/S0370-2693(99)01463-X
    [48] W. H. Dickhoff and C. Barbieri, Prog. Part. Nucl. Phys.,52: 377 (2004) doi:10.1016/j.ppnp.2004.02.038
    [49] A. Rios, A. Polls, and I. Vidaña, Phys. Rev. C,79: 025802 (2009)
    [50] V. Somà and P. Bozėk, Phys. Rev. C,74: 045809 (2006) doi:10.1103/PhysRevC.74.045809
    [51] A. Rios, A. Polls, and W. H. Dickhoff, Phys. Rev. C,79: 064308 (2009) doi:10.1103/PhysRevC.79.064308
    [52] V. R. Pandharipande and R. B. Wiringa, Rev. Mod. Phys.,51: 821 (1979) doi:10.1103/RevModPhys.51.821
    [53] R. B. Wiringa, V. Fiks, and A. Fabrocini, ibid,38: 1010 (1988)
    [54] S. Fantoni and A. Fabrocini,Microscopic Quantum ManyBody Theories and Their Applications, Lecture Notes in Physics Vol. 510 (Springer, Berlin, 1998)
    [55] A. Lovato, O. Benhar, S. Fantoniet al., Phys. Rev. C,83: 054003 (2011) doi:10.1103/PhysRevC.83.054003
    [56] A. Sarsa, S. Fantoni, K. E. Schmidtet al., Phys. Rev. C,68: 024308 (2003) doi:10.1103/PhysRevC.68.024308
    [57] S. Gandolfi, A. Y. Illarionov, K. E. Schmidtet al., Phys. Rev. C,79: 054005 (2009) doi:10.1103/PhysRevC.79.054005
    [58] M. Piarulli, I. Bombaci, D. Logotetaet al., Phys. Rev. C,101: 045801 (2020) doi:10.1103/PhysRevC.101.045801
    [59] J. Carlson, J. J. Morales, V. R. Pandharipandeet al., Phys. Rev. C,68: 025802 (2003)
    [60] J. Carlson, S. Gandolfi, F. Pederivaet al., Rev. Mod. Phys.,87: 1067 (2015) doi:10.1103/RevModPhys.87.1067
    [61] G. Baardsen, A. Ekström, G. Hagenet al., Phys. Rev. C,88: 054312 (2013) doi:10.1103/PhysRevC.88.054312
    [62] G. Hagen, T. Papenbrock, A. Ekströmet al., Phys. Rev. C,89: 014319 (2014) doi:10.1103/PhysRevC.89.014319
    [63] J. Lietz, S. Novario, G. R. Jansenet al.,An Advanced Course in Computational Nuclear Physics: Bridging the Scales from Quarks to Neutron Stars, Lecture Notes in Physics Vol. 936 (Springer, Berlin, 2017)
    [64] J. Boronat and J. Casulleras, Phys. Rev. B,49: 8920 (1994) doi:10.1103/PhysRevB.49.8920
    [65] J. Casulleras and J. Boronat, Phys. Rev. Lett.,84: 3121 (2000) doi:10.1103/PhysRevLett.84.3121
    [66] W. Zuo, A. Lejeune, U. Lombardoet al., Eur. Phys. J. A,14: 469 (2002) doi:10.1140/epja/i2002-10031-y
    [67] K. Hebeler and A. Schwenk, Phys. Rev. C,82: 014314 (2010) doi:10.1103/PhysRevC.82.014314
    [68] S. Gandolfi, J. Carlson, and S. Reddy, Phys. Rev. C,85: 032801 (2012) doi:10.1103/PhysRevC.85.032801
    [69] I. Tews, T. Krüger, K. Hebeleret al., Phys. Rev. Lett.,110: 032504 (2013) doi:10.1103/PhysRevLett.110.032504
    [70] S. Gandolfi, J. Carlson, S. Reddyet al., Eur. Phys. J. A,50: 10 (2014) doi:10.1140/epja/i2014-14010-5
    [71] C. Drischler, A. Carbone, K. Hebeleret al., Phys. Rev. C,94: 054307 (2016)
    [72] T. Myo, H. Takemoto, M. Lyuet al., Phys. Rev. C,99: 024312 (2019) doi:10.1103/PhysRevC.99.024312
    [73] C. Lin, F. H. Zong, and D. M. Ceperley, Phys. Rev. E,64: 016702 (2001) doi:10.1103/PhysRevE.64.016702
    [74] D. A. Mazziotti, Phys. Rev. A,57: 4219 (1998) doi:10.1103/PhysRevA.57.4219
    [75] D. C. Lay, S. R. Lay, and J. J. McDonald,Linear Algebra and Its Applications, Pearson Education, 5th ed. (2015)
    [76] F. Colmenero and C. Valdemoro, Int. J. Quantum Chem.,51: 369 (1994) doi:10.1002/qua.560510605
    [77] K. E. Schmidt and M. H. Kalos,Applications of the Monte Carlo Method in Statistical Physics, edited by K. Binder, SpringerVerlag, Heidelberg, (1984)
    [78] S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. B,55: 7464 (1997) doi:10.1103/PhysRevB.55.7464
    [79] S. Zhang and H. Krakauer, Phys. Rev. Lett.,90: 136401 (2003) doi:10.1103/PhysRevLett.90.136401

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