Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory

W. Zhang; J. Meng; S. Q. Zhang; L. S. Geng; H. Toki

doi:10.1016/j.nuclphysa.2005.02.086

Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory

W. Zhang
, J. Meng^*
, S. Q. Zhang
, L. S. Geng
, H. Toki

^*Corresponding author for this work

Peking University
CAS - Institute of Theoretical Physics
Center of Theoretical Nuclear Physics
The University of Osaka

Research output: Contribution to journal › Article › peer-review

169 Scopus citations

Abstract

The magic proton and neutron numbers are searched in the superheavy region with proton number Z = 100 - 140 and neutron number N = (Z + 30)-(Z + 32) in the relativistic continuum Hartree-Bogoliubov (RCHB) theory with effective interactions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the two-nucleon separation energies S_2p and S_2n, the two-nucleon gaps δ_2p and δ_2n, the shell correction energies E_shell^p and E_shell ⁿ, the pairing energies E_pair^p and E_pairⁿ, and the pairing gaps Δ_p and Δ_n, Z = 120, 132, and 138 and N = 172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers within the present approach. The α-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by using the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing nuclei are investigated.

Original language	English
Pages (from-to)	106-135
Number of pages	30
Journal	Nuclear Physics A
Volume	753
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysa.2005.02.086
State	Published - 2 May 2005
Externally published	Yes

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10.1016/j.nuclphysa.2005.02.086

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@article{bc073406c8564f528a442b308d4ccfcb,

title = "Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory",

abstract = "The magic proton and neutron numbers are searched in the superheavy region with proton number Z = 100 - 140 and neutron number N = (Z + 30)-(Z + 32) in the relativistic continuum Hartree-Bogoliubov (RCHB) theory with effective interactions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the two-nucleon separation energies S2p and S2n, the two-nucleon gaps δ2p and δ2n, the shell correction energies Eshellp and Eshell n, the pairing energies Epairp and Epairn, and the pairing gaps Δp and Δn, Z = 120, 132, and 138 and N = 172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers within the present approach. The α-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by using the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing nuclei are investigated.",

author = "W. Zhang and J. Meng and Zhang, \{S. Q.\} and Geng, \{L. S.\} and H. Toki",

year = "2005",

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day = "2",

doi = "10.1016/j.nuclphysa.2005.02.086",

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T1 - Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory

AU - Zhang, W.

AU - Meng, J.

AU - Zhang, S. Q.

AU - Geng, L. S.

AU - Toki, H.

PY - 2005/5/2

Y1 - 2005/5/2

N2 - The magic proton and neutron numbers are searched in the superheavy region with proton number Z = 100 - 140 and neutron number N = (Z + 30)-(Z + 32) in the relativistic continuum Hartree-Bogoliubov (RCHB) theory with effective interactions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the two-nucleon separation energies S2p and S2n, the two-nucleon gaps δ2p and δ2n, the shell correction energies Eshellp and Eshell n, the pairing energies Epairp and Epairn, and the pairing gaps Δp and Δn, Z = 120, 132, and 138 and N = 172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers within the present approach. The α-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by using the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing nuclei are investigated.

AB - The magic proton and neutron numbers are searched in the superheavy region with proton number Z = 100 - 140 and neutron number N = (Z + 30)-(Z + 32) in the relativistic continuum Hartree-Bogoliubov (RCHB) theory with effective interactions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the two-nucleon separation energies S2p and S2n, the two-nucleon gaps δ2p and δ2n, the shell correction energies Eshellp and Eshell n, the pairing energies Epairp and Epairn, and the pairing gaps Δp and Δn, Z = 120, 132, and 138 and N = 172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers within the present approach. The α-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by using the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing nuclei are investigated.

UR - https://www.scopus.com/pages/publications/15944422223

U2 - 10.1016/j.nuclphysa.2005.02.086

DO - 10.1016/j.nuclphysa.2005.02.086

M3 - 文章

AN - SCOPUS:15944422223

SN - 0375-9474

VL - 753

SP - 106

EP - 135

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1-2

ER -

Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory

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