The generalized liquid drop model alphadecay formula: Predictability analysis and superheavy element alpha halflives
Abstract
The predictive accuracy of the generalized liquid drop model (GLDM) formula for alphadecay halflives has been investigated in a detailed manner and a variant of the formula with improved coefficients is proposed. The method employs the experimental alpha halflives of the wellknown alpha standards to obtain the coefficients of the analytical formula using the experimental Q{sub {alpha}} values (the DSRE formula), as well as the finite range droplet model (FRDM) derived Q{sub {alpha}} values (the FRDMFRDM formula). The predictive accuracy of these formulae was checked against the experimental alpha halflives 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 DSRE formula but not for the FRDMFRDM formula. The two formulae were used to obtain the alpha halflives of superheavy elements (SHE) and heavy nuclides where the relative accuracy was found to be markedly improved for the FRDMFRDM formula, which corroborates the appropriateness of the FRDM masses and the GLDM prescription for high Z, A nuclides. Further improvement resulted, especially for the FRDMFRDM formula, after a simple linear optimization over the calculated and experimental halflives of TESTmore »
 Authors:

 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: S0092640X(07)000423; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0092640X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA DECAY; DROPLET MODEL; HALFLIFE; LIQUID DROP MODEL; TRANSACTINIDE ELEMENTS
Citation Formats
DasguptaSchubert, N., and Reyes, M A. The generalized liquid drop model alphadecay formula: Predictability analysis and superheavy element alpha halflives. United States: N. p., 2007.
Web. doi:10.1016/j.adt.2007.06.006.
DasguptaSchubert, N., & Reyes, M A. The generalized liquid drop model alphadecay formula: Predictability analysis and superheavy element alpha halflives. United States. doi:10.1016/j.adt.2007.06.006.
DasguptaSchubert, N., and Reyes, M A. Thu .
"The generalized liquid drop model alphadecay formula: Predictability analysis and superheavy element alpha halflives". United States. doi:10.1016/j.adt.2007.06.006.
@article{osti_21028246,
title = {The generalized liquid drop model alphadecay formula: Predictability analysis and superheavy element alpha halflives},
author = {DasguptaSchubert, N. and Reyes, M A},
abstractNote = {The predictive accuracy of the generalized liquid drop model (GLDM) formula for alphadecay halflives has been investigated in a detailed manner and a variant of the formula with improved coefficients is proposed. The method employs the experimental alpha halflives of the wellknown alpha standards to obtain the coefficients of the analytical formula using the experimental Q{sub {alpha}} values (the DSRE formula), as well as the finite range droplet model (FRDM) derived Q{sub {alpha}} values (the FRDMFRDM formula). The predictive accuracy of these formulae was checked against the experimental alpha halflives 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 DSRE formula but not for the FRDMFRDM formula. The two formulae were used to obtain the alpha halflives of superheavy elements (SHE) and heavy nuclides where the relative accuracy was found to be markedly improved for the FRDMFRDM formula, which corroborates the appropriateness of the FRDM masses and the GLDM prescription for high Z, A nuclides. Further improvement resulted, especially for the FRDMFRDM formula, after a simple linear optimization over the calculated and experimental halflives of TEST was used to recalculate the halflives of the SHE and heavy nuclides. The advantage of this optimization was that it required no recalculation of the coefficients of the basic DSRE or FRDMFRDM formulae. The halflives for 324 mediummass to superheavy alpha decaying nuclides, calculated using these formulae and the comparison with experimental halflives, are presented.},
doi = {10.1016/j.adt.2007.06.006},
journal = {Atomic Data and Nuclear Data Tables},
issn = {0092640X},
number = 6,
volume = 93,
place = {United States},
year = {2007},
month = {11}
}