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Title: The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

Abstract

The predictive accuracy of the generalized liquid drop model (GLDM) formula for alpha-decay half-lives has been investigated in a detailed manner and a variant of the formula with improved coefficients is proposed. The method employs the experimental alpha half-lives of the well-known alpha standards to obtain the coefficients of the analytical formula using the experimental Q{sub {alpha}} values (the DSR-E formula), as well as the finite range droplet model (FRDM) derived Q{sub {alpha}} values (the FRDM-FRDM formula). The predictive accuracy of these formulae was checked against the experimental alpha half-lives of an independent set of nuclei (TEST) that span approximately the same Z, A region as the standards and possess reliable alpha spectroscopic data, and were found to yield good results for the DSR-E formula but not for the FRDM-FRDM formula. The two formulae were used to obtain the alpha half-lives of superheavy elements (SHE) and heavy nuclides where the relative accuracy was found to be markedly improved for the FRDM-FRDM formula, which corroborates the appropriateness of the FRDM masses and the GLDM prescription for high Z, A nuclides. Further improvement resulted, especially for the FRDM-FRDM formula, after a simple linear optimization over the calculated and experimental half-lives of TESTmore » was used to re-calculate the half-lives of the SHE and heavy nuclides. The advantage of this optimization was that it required no re-calculation of the coefficients of the basic DSR-E or FRDM-FRDM formulae. The half-lives for 324 medium-mass to superheavy alpha decaying nuclides, calculated using these formulae and the comparison with experimental half-lives, are presented.« less

Authors:
 [1]
  1. Department of Electrical Engineering, University of Texas Pan American, Edinburg, TX 78539 (United States)
Publication Date:
OSTI Identifier:
21028246
Resource Type:
Journal Article
Journal Name:
Atomic Data and Nuclear Data Tables
Additional Journal Information:
Journal Volume: 93; Journal Issue: 6; Other Information: DOI: 10.1016/j.adt.2007.06.006; PII: S0092-640X(07)00042-3; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0092-640X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA DECAY; DROPLET MODEL; HALF-LIFE; LIQUID DROP MODEL; TRANSACTINIDE ELEMENTS

Citation Formats

Dasgupta-Schubert, N., and Reyes, M A. The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives. United States: N. p., 2007. Web. doi:10.1016/j.adt.2007.06.006.
Dasgupta-Schubert, N., & Reyes, M A. The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives. United States. doi:10.1016/j.adt.2007.06.006.
Dasgupta-Schubert, N., and Reyes, M A. Thu . "The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives". United States. doi:10.1016/j.adt.2007.06.006.
@article{osti_21028246,
title = {The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives},
author = {Dasgupta-Schubert, N. and Reyes, M A},
abstractNote = {The predictive accuracy of the generalized liquid drop model (GLDM) formula for alpha-decay half-lives has been investigated in a detailed manner and a variant of the formula with improved coefficients is proposed. The method employs the experimental alpha half-lives of the well-known alpha standards to obtain the coefficients of the analytical formula using the experimental Q{sub {alpha}} values (the DSR-E formula), as well as the finite range droplet model (FRDM) derived Q{sub {alpha}} values (the FRDM-FRDM formula). The predictive accuracy of these formulae was checked against the experimental alpha half-lives of an independent set of nuclei (TEST) that span approximately the same Z, A region as the standards and possess reliable alpha spectroscopic data, and were found to yield good results for the DSR-E formula but not for the FRDM-FRDM formula. The two formulae were used to obtain the alpha half-lives of superheavy elements (SHE) and heavy nuclides where the relative accuracy was found to be markedly improved for the FRDM-FRDM formula, which corroborates the appropriateness of the FRDM masses and the GLDM prescription for high Z, A nuclides. Further improvement resulted, especially for the FRDM-FRDM formula, after a simple linear optimization over the calculated and experimental half-lives of TEST was used to re-calculate the half-lives of the SHE and heavy nuclides. The advantage of this optimization was that it required no re-calculation of the coefficients of the basic DSR-E or FRDM-FRDM formulae. The half-lives for 324 medium-mass to superheavy alpha decaying nuclides, calculated using these formulae and the comparison with experimental half-lives, are presented.},
doi = {10.1016/j.adt.2007.06.006},
journal = {Atomic Data and Nuclear Data Tables},
issn = {0092-640X},
number = 6,
volume = 93,
place = {United States},
year = {2007},
month = {11}
}