2006Physical Review COpen access

Coefficients and terms of the liquid drop model and mass formula

G. Royer, Caroline Gautier

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Abstract

The coefficients of different combinations of terms of the liquid drop model have been determined by a least square fitting procedure to the experimental atomic masses. The nuclear masses can also be reproduced using a Coulomb radius taking into account the increase of the ratio ${R}_{0}/{A}^{1/3}$ with increasing mass, the fitted surface energy coefficient remaining around 18 MeV.

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The coefficients of different combinations of terms of the liquid drop model have been determined by a least square fitting procedure to the experimental atomic masses. The nuclear masses can also be reproduced using a Coulomb radius taking into account the increase of the ratio ${R}_{0}/{A}^{1/3}$ with increasing mass, the fitted surface energy coefficient remaining around 18 MeV.

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Available abstract

The coefficients of different combinations of terms of the liquid drop model have been determined by a least square fitting procedure to the experimental atomic masses. The nuclear masses can also be reproduced using a Coulomb radius taking into account the increase of the ratio ${R}_{0}/{A}^{1/3}$ with increasing mass, the fitted surface energy coefficient remaining around 18 MeV.

Key concepts: Semi-empirical mass formula, Liquid drop, Mass formula, Atomic mass, Drop (telecommunication), Coulomb, RADIUS, Physics

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