New Method for Calculating the Potential Energy of Deformed Nuclei within the Liquid-Drop Model

Journal Article · Mon Nov 01 04:00:00 EST 2004 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.1825532· OSTI ID:20692687

Kurmanov, R S ^[1]; Kosenko, G I ^[2]

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1. Omsk State Railway Transport University, pr. Marksa 35, Omsk, 644046 (Russian Federation)
2. Omsk State University, pr. Mira 55A, Omsk, 644077 (Russian Federation)

The method that we previously developed for going over from double volume integrals to double surface integrals in calculating the Coulomb energy of nuclei that have a sharp surface is generalized to the case of nuclei where the range of nuclear forces is finite and where the nuclear surface is diffuse. New formulas for calculating the Coulomb and the nuclear energy of deformed nuclei are obtained within this approach. For a spherically symmetric nucleus, in which case there is an analytic solution to the problem in question, the results are compared with those that are quoted in the literature, and it is shown that the respective results coincide identically. A differential formulation of the method developed previously by Krappe, Nix, and Sierk for going over from double volume integrals to double surface integrals is proposed here on the basis of the present approach.

• OSTI ID: 20692687
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 11 Vol. 67; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
COULOMB ENERGY
DEFORMED NUCLEI
ENERGY LEVELS
GAUSSIAN PROCESSES
LIQUID DROP MODEL
NUCLEAR FORCES
POTENTIAL ENERGY