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Recent developments in the Wigner - Kirkwood mass formula
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2013 (English)In: International Conference on Recent Trends in Nuclear Physics-2012 (ICRTNP-2012), 2013, 20-24 p.Conference paper (Refereed)
Abstract [en]

The recently proposed microscopic - macroscopic model for nuclear masses, based on the shell corrections obtained by using the semi - classical Wigner - Kirkwood (WK) ℏ expansion of one body quantal partition function, has been extended to the even - even deformed nuclei. The nuclear potential is assumed to be deformed Woods - Saxon with spin - orbit contribution. The Coulomb potential is obtained by folding charge densities. The resulting partition function is expanded upto the fourth order in ℏ to obtain averaged energies. The shell corrections thus obtained along with pairing energies determined within the framework of the Lipkin - Nogami scheme constitute microscopic part of the model. The macroscopic part is obtained from a liquid drop formula, with nine adjustable parameters. These parameters are fitted by considering a large set of 561 even - even nuclei with Z ≥ 8 and N ≥ 8. The fit yields rms deviation of merely 610 keV from the corresponding experimental masses. A few applications of the mass formula are presented and discussed in this paper.

Place, publisher, year, edition, pages
2013. 20-24 p.
, AIP Conference Proceedings, ISSN 0094-243X ; 1524
Keyword [en]
Microscopic - Macroscopic Mass Formulas, Wigner - Kirkwood Smoothing Scheme
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-134480DOI: 10.1063/1.4801670ISI: 000317983700005ScopusID: 2-s2.0-84876893228ISBN: 9780735411470OAI: diva2:667114
International Conference on Recent Trends in Nuclear Physics-2012, ICRTNP 2012, 19 November 2012 through 21 November 2012, Barotiwala

QC 20131125

Available from: 2013-11-25 Created: 2013-11-25 Last updated: 2013-11-25Bibliographically approved

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