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Method of shell corrections and the optimal mass formula

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:7051746
By minimization of the mean square deviations from the experimental nuclear mass values the structure of the mass formulas is investigated with use of various numbers of adjustable parameters. The optimal variant turns out to be the formula with nine adjustable parameters and two fixed power exponents. The formula obtained takes into account the effects of shells and parity and provides a description of the masses of nuclei with Z and N>20 with an rms deviation 1.07 MeV (and a maximum deviation approx. =2.8 MeV). The formula satisfactorily describes the curvature of the isobaric sections and the behavior of the ..beta.. stability line, and the Coulomb energy is in correspondence with the Hofstadter charge distribution. The limited nature of the method of shell corrections is demonstrated.
Research Organization:
Moscow State University
OSTI ID:
7051746
Journal Information:
Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 31:1; ISSN SJNCA
Country of Publication:
United States
Language:
English

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