Structure of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">N</mi><mi mathvariant="italic"></mi><mo>=</mo><mi mathvariant="italic"></mi><mi mathvariant="italic">Z</mi><mspace></mspace><mo>=</mo><mspace></mspace><mn>28</mn></math></span> Closed Shell Studied by Monte Carlo Shell Model Calculation

Takaharu Otsuka; Michio Honma; Takahiro Mizusaki

doi:10.1103/PhysRevLett.81.1588

Access by Xinjiang University

Structure of the $N = Z = 28$ Closed Shell Studied by Monte Carlo Shell Model Calculation

Takaharu Otsuka^1,2, Michio Honma³, and Takahiro Mizusaki¹

¹Department of Physics, University of Tokyo, Hongo, Tokyo 113, Japan
²RIKEN, Hirosawa, Wako-shi, Saitama 351-01, Japan
³Center for Mathematical Sciences, University of Aizu, Tsuruga, Ikki-machi Aizu-Wakamatsu, Fukushima 965, Japan

PDF

Phys. Rev. Lett. 81, 1588 – Published 24 August, 1998

DOI: https://doi.org/10.1103/PhysRevLett.81.1588

Abstract

The closed shell structure at $N = Z = 28$ is studied by a large-scale shell model calculation by the quantum Monte Carlo diagonalization method. Latest crucial improvements of the method are described. The doubly closed shell probability of $^{56} Ni$ is shown to be only $49 %$ in a full $pf$ shell calculation, in contrast to the corresponding probability of $^{48} Ca$ which reaches $86 %$ .

References (19)

S. E. Koonin, D. J. Dean, and K. Langanke, Phys. Rep. 278, 1 (1997), and references therein.
M. Honma, T. Mizusaki, and T. Otsuka, Phys. Rev. Lett. 75, 1284 (1995).
T. Mizusaki, M. Honma, and T. Otsuka, Phys. Rev. C 53, 2786 (1996).
M. Honma, T. Mizusaki, and T. Otsuka, Phys. Rev. Lett. 77, 3315 (1996).
See, for instance, A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), Vol. 1.
J. Hubbard, Phys. Lett. 3, 77 (1959); R. D. Stratonovich, Dokl. Akad. Nauk SSSR 115, 1907 (1957) [Sov. Phys. Dokl. 2, 416 (1958)].
E. Caurier et al., Phys. Rev. C 50, 225 (1994).
W. A. Richter et al., Nucl. Phys. A523, 325 (1991).
A. Poves and A. P. Zuker, Phys. Rep. 70, 235 (1981).
T. T. S. Kuo and G. E. Brown, Nucl. Phys. A114, 241 (1968).
E. Caurier et al., Phys. Rev. C 52, 1736 (1995); G. Martinez-Pinedo et al., 55, 187 (1997).
W. E. Ormand and B. A. Brown, Phys. Rev. C 52, 2455 (1995).
M. Dufour and A. P. Zuker, Phys. Rev. C 54, 1641 (1996).
Table of Isotopes, R. B. Firestone (Wiley, New York,1996); D. Rudolph et al. (private communication).
G. Kraus et al., Phys. Rev. Lett. 73, 1773 (1994).
J. Engel et al., Phys. Lett. B 389, 211 (1996).
E. Caurier and A. Poves (private communication).
T. Sebe et al. (private communication).
K. Langanke et al., Phys. Rev. C 52, 718 (1995).

[c1] S. E. Koonin, D. J. Dean, and K. Langanke, Phys. Rep. 278, 1 (1997), and references therein.

[c2] M. Honma, T. Mizusaki, and T. Otsuka, Phys. Rev. Lett. 75, 1284 (1995).

[c3] T. Mizusaki, M. Honma, and T. Otsuka, Phys. Rev. C 53, 2786 (1996).

[c4] M. Honma, T. Mizusaki, and T. Otsuka, Phys. Rev. Lett. 77, 3315 (1996).

[c5] See, for instance, A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), Vol. 1.

[c6] J. Hubbard, Phys. Lett. 3, 77 (1959); R. D. Stratonovich, Dokl. Akad. Nauk SSSR 115, 1907 (1957) [Sov. Phys. Dokl. 2, 416 (1958)].

[c7] E. Caurier et al., Phys. Rev. C 50, 225 (1994).

[c8] W. A. Richter et al., Nucl. Phys. A523, 325 (1991).

[c9] A. Poves and A. P. Zuker, Phys. Rep. 70, 235 (1981).

[c10] T. T. S. Kuo and G. E. Brown, Nucl. Phys. A114, 241 (1968).

[c11] E. Caurier et al., Phys. Rev. C 52, 1736 (1995); G. Martinez-Pinedo et al., 55, 187 (1997).

[c12] W. E. Ormand and B. A. Brown, Phys. Rev. C 52, 2455 (1995).

[c13] M. Dufour and A. P. Zuker, Phys. Rev. C 54, 1641 (1996).

[c14] Table of Isotopes, R. B. Firestone (Wiley, New York,1996); D. Rudolph et al. (private communication).

[c15] G. Kraus et al., Phys. Rev. Lett. 73, 1773 (1994).

[c16] J. Engel et al., Phys. Lett. B 389, 211 (1996).

[c17] E. Caurier and A. Poves (private communication).

[c18] T. Sebe et al. (private communication).

[c19] K. Langanke et al., Phys. Rev. C 52, 718 (1995).

Physical Review Letters

Export citation

Export citation

Structure of the $N = Z = 28$ Closed Shell Studied by Monte Carlo Shell Model Calculation

Abstract

References (19)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Structure of the N=Z=28 Closed Shell Studied by Monte Carlo Shell Model Calculation

Abstract

References (19)

Structure of the $N = Z = 28$ Closed Shell Studied by Monte Carlo Shell Model Calculation