Superheavy nuclei in the relativistic mean-field theory

Lalazissis, G. A.; Sharma, Madan Mohan; Ring, P.; Gambhir, Y. K.

doi:10.1016/0375-9474(96)00273-4

Cited by 171 publications

(109 citation statements)

References 39 publications

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“…This partly explains why spherical ground states of SHE are so well correlated with the Neutron Shell Correction (MeV) magic neutron number N =184, see, e.g., [19,22,29]. Note that for the majority of Skyrme forces the N =172 isotones are predicted to be deformed.…”

Section: A Spherical Shell Corrections In Superheavy Nucleimentioning

confidence: 92%

“…For the purpose of the present study, we choose the most successful (or most commonly used) ones: NL1 [71], NL-Z [72], NL-Z2 [30], NL-SH [73], NL3 [74], and TM1 [75]. All of them have been used for investigations of SHE [30,31,76,77].…”

Section: B Relativistic Mean-field Modelmentioning

confidence: 99%

“…[21]. In another work, based on the RMF theory [22], shell corrections were extracted for the heaviest deformed nuclei using the standard Strutinsky method in which the positive-energy spectrum was approximated by quasi- bound states. Neither procedure can be considered as satisfactory.…”

Section: Introductionmentioning

confidence: 99%

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Shell corrections of superheavy nuclei in self-consistent calculations

et al. 2000

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Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton continuum resulting in a free particle gas, special attention is paid to the treatment of single-particle level density. To cure the pathological behavior of shell correction around the particle threshold, the method based on the Green's function approach has been adopted. It is demonstrated that for the vast majority of Skyrme interactions commonly employed in nuclear structure calculations, the strongest shell stabilization appears for Z=124, and 126, and for N =184. On the other hand, in the relativistic approaches the strongest spherical shell effect appears systematically for Z=120 and N =172. This difference has probably its roots in the spin-orbit potential. We have also shown that, in contrast to shell corrections which are fairly independent on the force, macroscopic energies extracted from self-consistent calculations strongly depend on the actual force parametrisation used. That is, the A and Z dependence of mass surface when extrapolating to unknown superheavy nuclei is prone to significant theoretical uncertainties. PACS number(s): 21.10. Dr, 21.10.Pc, 21.60.Jz, 27.90.+b

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Section: A Spherical Shell Corrections In Superheavy Nucleimentioning

confidence: 92%

Section: B Relativistic Mean-field Modelmentioning

confidence: 99%

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Shell corrections of superheavy nuclei in self-consistent calculations

et al. 2000

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“…The neutron number N=162 has been predicted [3] to exhibit shell closure at around Z=108-110. This is consistent with the findings of Ref.…”

Section: Introductionmentioning

confidence: 99%

αradioactivity of superheavy nuclei

et al. 2003

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Calculations based on the relativistic mean field framework have been carried out for the ground state properties of the relevant nuclei appearing in the ␣-emission chain of superheavy element Z=112. The calculations compare well with the experiment. The calculated densities along with the energy and the density dependent M3Y effective nucleon-nucleon interaction are used in the double folding model to compute the respective total interaction energies. These, in turn are used to calculate the half-lives of the parent nuclei against the split into an ␣ and the daughter in the WKB approximation. The calculations are repeated for the nuclei appearing in the 4n+2 ␣ chain for a comparative study. The sensitivity of the calculated half-lives on the input information, especially the Q values are quantitatively investigated.

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“…The relativistic mean-field (RMF) theory [1,2] belongs to the former, and the Möller-Nix [3] or the Muntian [4] models are examples from the latter category. The aim of the earlier RMF studies [5] had been to predict the most stable N and Z combination. In self-consistent models, the occurrence of a spherical proton (neutron) shell closure with given Z (N ) may change with varying neutron number N (Z ).…”

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confidence: 99%

α-decay half-lives of the observed superheavy nuclei(Z=108−118)

2005

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A systematic and comprehensive study of the decay half-lives of nuclei appearing in the observed α-decay chains of superheavy elements (Z = 108−118) is presented. The calculation proceeds in three steps. First, the relativistic mean-field equations are solved in the axially symmetric deformed oscillator basis to obtain ground-state properties such as binding energies, radii, deformations, and densities. The results are in good agreement with the available experimental systematics, as expected. Next, the calculated densities are used in the double-folding prescription to determine the interaction potentials for the α-daughter systems. Finally, these potentials, along with calculated and experimental Q values, are used in the WKB approximation to estimate the decay half-lives. The calculated half-lives, which sensitively depend on Q values, qualitatively reproduce the experiment. The production and study of superheavy elements (SHE) has been the cherished aim of experimentalists since the prediction of the island of stability, around Z ∼ 114, N ∼ 184 in the 1960s. It has still not been possible to reach the N = 184 closed shell. Earlier experiments had partial success. Cold (hot) fusion with Pb/Bi (actinides: 235 U / 244 Pu / 243 Am) targets and suitable projectiles of 64 Ni / 70 Zn ( 48 Ca) have been successfully used for the production of superheavy elements 110−113 (114−116). The search for isotopes of these elements and also for elements with higher atomic numbers (Z ) is pursued vigorously by a number of laboratories around the world.On the theoretical front, primarily two kinds of approaches have been used to describe superheavy nuclei: microscopic theories and microscopic-macroscopic models. The relativistic mean-field (RMF) theory [1,2] belongs to the former, and the Möller-Nix [3] or the Muntian [4] models are examples from the latter category. The aim of the earlier RMF studies [5] had been to predict the most stable N and Z combination. In self-consistent models, the occurrence of a spherical proton (neutron) shell closure with given Z (N ) may change with varying neutron number N (Z ). Such systematic investigations are still being reported [6][7][8]. A number of RMF investigations for the ground-state properties of nuclei appearing in the observed decay chains of specific superheavy nuclei have also been reported (e.g., [9][10][11]). The calculated binding energies reproduce Audi-Wapstra systematics [12] rather well. However, most of these use the phenomenological ViolaSeaborg formula [13] for the calculation of the decay halflives. Our emphasis in this Brief Report is on microscopic calculation of the α-decay half-lives, where the experimental data are available [14][15][16][17][18][19]. First, the ground-state properties are calculated in the RMF framework. We do not intend to present all the details of the ground-state properties; instead, we list essentials of the emerging systematic features, which are consistent with earlier investigations. The present * Electronic address: yogy@phy.iitb.ac.in.c...

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Superheavy nuclei in the relativistic mean-field theory

Abstract: We have carried out a study of superheavy nuclei in the framework of the Rel-

Cited by 171 publications

References 39 publications

Shell corrections of superheavy nuclei in self-consistent calculations

Shell corrections of superheavy nuclei in self-consistent calculations

αradioactivity of superheavy nuclei

α-decay half-lives of the observed superheavy nuclei(Z=108−118)

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