dorsal/arxiv
View SchemaMagic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory
| Authors | W. Zhang, J. Meng, S. Q. Zhang, L. S. Geng, H. Toki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403021 |
| URL | https://arxiv.org/abs/nucl-th/0403021 |
| DOI | 10.1016/j.nuclphysa.2005.02.086 |
| Journal | Nucl.Phys. A753 (2005) 106-135 |
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) - (2$Z$+32) by the relativistic continuum Hartree-Bogoliubov (RCHB) theory with 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 $\delta_{2p}$ and $\delta_{2n}$, the shell correction energies $E_{shell}^{p}$ and $E_{shell}^{n}$, the pairing energies $E_{pair}^{p}$ and $E_{pair}^{n}$, and the pairing gaps $\Delta_{p}$ and $\Delta_{n}$, $Z$=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 $\alpha$-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing the nuclei are investigated. Furthermore, the formation cross sections of $^{292}_{172}$120 and $^{304}_{184}$120 at the optimal excitation energy are estimated by a phenomenological cold fusion reactions model with the structure information extracted from the constrained RMF calculation.
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"abstract": "The magic proton and neutron numbers are searched in the superheavy region\nwith proton number $Z$=100 - 140 and neutron number $N$= ($Z$+30) - (2$Z$+32)\nby the relativistic continuum Hartree-Bogoliubov (RCHB) theory with\ninteractions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the\ntwo-nucleon separation energies $S_{2p}$ and $S_{2n}$, the two-nucleon gaps\n$\\delta_{2p}$ and $\\delta_{2n}$, the shell correction energies $E_{shell}^{p}$\nand $E_{shell}^{n}$, the pairing energies $E_{pair}^{p}$ and $E_{pair}^{n}$,\nand the pairing gaps $\\Delta_{p}$ and $\\Delta_{n}$, $Z$=120, 132, and 138 and\n$N$=172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers\nwithin the present approach. The $\\alpha$-decay half-lives are also discussed.\nIn addition, the potential energy surfaces of possible doubly magic nuclei are\nobtained by the deformation-constrained relativistic mean field (RMF) theory,\nand the shell effects stabilizing the nuclei are investigated. Furthermore, the\nformation cross sections of $^{292}_{172}$120 and $^{304}_{184}$120 at the\noptimal excitation energy are estimated by a phenomenological cold fusion\nreactions model with the structure information extracted from the constrained\nRMF calculation.",
"arxiv_id": "nucl-th/0403021",
"authors": [
"W. Zhang",
"J. Meng",
"S. Q. Zhang",
"L. S. Geng",
"H. Toki"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2005.02.086",
"journal_ref": "Nucl.Phys. A753 (2005) 106-135",
"title": "Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory",
"url": "https://arxiv.org/abs/nucl-th/0403021"
},
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