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Title: {alpha}-nucleus potentials, {alpha}-decay half-lives, and shell closures for superheavy nuclei

Abstract

Systematic {alpha}-nucleus folding potentials are used to analyze {alpha}-decay half-lives of superheavy nuclei. Preformation factors of about several percent are found for all nuclei under study. The systematic behavior of the preformation factors and the volume integrals of the potentials allows predictions of {alpha}-decay energies and half-lives for unknown nuclei. Shell closures can be determined from measured {alpha}-decay energies using the discontinuity of the volume integral at shell closures. For the first time a double shell closure is predicted for Z{sub magic}=132,N{sub magic}=194, and A{sub magic}=326 from the systematics of folding potentials. The calculated {alpha}-decay half-lives remain far below 1 ns for superheavy nuclei with double shell closure and masses A>300 independent of the precise knowledge of the magic proton and neutron numbers.

Authors:
 [1]
  1. Diakoniekrankenhaus Schwaebisch Hall, D-74523 Schwaebisch Hall (Germany)
Publication Date:
OSTI Identifier:
20771312
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.031301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA DECAY; HALF-LIFE; MAGIC NUCLEI; NEUTRONS; NUCLEAR POTENTIAL; PROTONS; SHELL MODELS; TRANSACTINIDE ELEMENTS

Citation Formats

Mohr, Peter. {alpha}-nucleus potentials, {alpha}-decay half-lives, and shell closures for superheavy nuclei. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.031301.
Mohr, Peter. {alpha}-nucleus potentials, {alpha}-decay half-lives, and shell closures for superheavy nuclei. United States. doi:10.1103/PhysRevC.73.031301.
Mohr, Peter. Wed . "{alpha}-nucleus potentials, {alpha}-decay half-lives, and shell closures for superheavy nuclei". United States. doi:10.1103/PhysRevC.73.031301.
@article{osti_20771312,
title = {{alpha}-nucleus potentials, {alpha}-decay half-lives, and shell closures for superheavy nuclei},
author = {Mohr, Peter},
abstractNote = {Systematic {alpha}-nucleus folding potentials are used to analyze {alpha}-decay half-lives of superheavy nuclei. Preformation factors of about several percent are found for all nuclei under study. The systematic behavior of the preformation factors and the volume integrals of the potentials allows predictions of {alpha}-decay energies and half-lives for unknown nuclei. Shell closures can be determined from measured {alpha}-decay energies using the discontinuity of the volume integral at shell closures. For the first time a double shell closure is predicted for Z{sub magic}=132,N{sub magic}=194, and A{sub magic}=326 from the systematics of folding potentials. The calculated {alpha}-decay half-lives remain far below 1 ns for superheavy nuclei with double shell closure and masses A>300 independent of the precise knowledge of the magic proton and neutron numbers.},
doi = {10.1103/PhysRevC.73.031301},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • An approach we have proposed recently for calculation of Q{sub {alpha}} energy and decay half-life T{sub 1/2}{sup {alpha}} on the {alpha} decay of radioactive heavy ions is applied to the evaluation of these two important parameters for the nuclei in the superheavy region Z = 112-118 for which experimental data are not available. It is shown that the {alpha} + nucleus potential represented by an exactly solvable potential used in the calculation could be expressed in terms of proton (Z) and neutron (N) numbers of the {alpha} emitter so that varieties of {alpha}-emitting nuclei differing in their Z and Nmore » values could be addressed for their decay properties without the help of any adjustable parameter and the results of Q{sub {alpha}} and T{sub 1/2}{sup {alpha}} for a nucleus are estimated without any prior knowledge of any one of these quantities. This procedure to obtain the values of Q{sub {alpha}} and T{sub 1/2}{sup {alpha}} works well to reproduce the known experimental results for superheavy nuclei and hence, the procedure is expected to provide proper information about these parameters in experiments on {alpha} decay of new nuclei in the superheavy region.« less
  • We present a systematic calculation of {alpha}-decay half-lives of even-even heavy and superheavy nuclei in the framework of the preformed {alpha} model. The microscopic {alpha}-daughter nuclear interaction potential is calculated by double-folding the density distributions of both {alpha} and daughter nuclei with a realistic effective Michigan three-Yukawa nucleon-nucleon interaction, and the microscopic Coulomb potential is calculated by folding the charge density distributions of the two interacting nuclei. The half-lives are found to be sensitive to the density dependence of the nucleon-nucleon interaction and the implementation of the Bohr-Sommerfeld quantization condition inherent in the Wentzel-Kramers-Brillouin approach. The {alpha}-decay half-lives obtained agreemore » reasonably well with the available experimental data. Moreover, the study has been extended to the newly observed superheavy nuclei. The interplay of closed-shell effects in {alpha}-decay calculations is investigated. The {alpha}-decay calculations give the closed-shell effects of known spherical magicities, Z=82 and N=126, and further predict enhanced stabilities at N=152,162, and 184 for Z=100,108, and 114, owing to the stability of parent nuclei against {alpha} decays. It is worth noting that the aim of this work is not only to reproduce the experimental data better, but also to extend our understanding of {alpha}-decay half-lives around shell closures.« less
  • A systematic and comprehensive study of the decay half-lives of nuclei appearing in the observed {alpha}-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 {alpha}-daughter systems. Finally, these potentials, along with calculated and experimental Q values, are used inmore » the WKB approximation to estimate the decay half-lives. The calculated half-lives, which sensitively depend on Q values, qualitatively reproduce the experiment.« less
  • New recent experimental {alpha} decay half-lives have been compared with the results obtained from previously proposed formulas depending only on the mass and charge numbers of the {alpha} emitter and the Q{sub {alpha}} value. For the heaviest nuclei they are also compared with calculations using the Density-Dependent M3Y (DDM3Y) effective interaction and the Viola-Seaborg-Sobiczewski (VSS) formulas. The correct agreement allows us to make predictions for the {alpha} decay half-lives of other still unknown superheavy nuclei from these analytic formulas using the extrapolated Q{sub {alpha}} of G. Audi, A. H. Wapstra, and C. Thibault [Nucl. Phys. A729, 337 (2003)].