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DROPLET MODEL PREDICTIONS OF CHARGE MOMENTS

W.D. Myers

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Abstract

The Droplet Model expressions for calculating various moments of the nuclear charga distribution are given.There are contributions to the moments frost the size and shape of the system, iron the internal redistribution induced by the Ccmlomb repulsion, and from the diffuseness of the surface.A case is made for the use of diffuse charge distributions generated by convolution as an alternative to Ferai-functions. INTRODDCTIONThe Droplet Model was originally developed to provide a macroscopic description of the binding energy and spatial distribution of a saturating, two-component, 1 2 leptodermous system, ' and the model coefficients were later chosen to correspond to the values they would 3 have in atomic nuclei.Like the liquid drop scdel that preceded it, the Droplet Model nuclear binding energy predictions agree with the measured values to within a percent or less for the heavier nuclei (10 MeV out of 1000 Me*).Similar accuracy (or even better) seems to be obtainable in the description of the density distribution as well.

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The Droplet Model expressions for calculating various moments of the nuclear charga distribution are given.There are contributions to the moments frost the size and shape of the system, iron the internal redistribution induced by the Ccmlomb repulsion, and from the diffuseness of the surface.A case is made for the use of diffuse charge distributions generated by convolution as an alternative to Ferai-functions. INTRODDCTIONThe Droplet Model was originally developed to provide a macroscopic description of the binding energy and spatial distribution of a saturating, two-component, 1 2 leptodermous system, ' and the model coefficients were later chosen to correspond to the values they would 3 have in atomic nuclei.Like the liquid drop scdel that preceded it, the Droplet Model nuclear binding energy predictions agree with the measured values to within a percent or less for the heavier nuclei (10 MeV out of 1000 Me*).Similar accuracy (or even better) seems to be obtainable in the description of the density distribution as well.

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Available abstract

The Droplet Model expressions for calculating various moments of the nuclear charga distribution are given.There are contributions to the moments frost the size and shape of the system, iron the internal redistribution induced by the Ccmlomb repulsion, and from the diffuseness of the surface.A case is made for the use of diffuse charge distributions generated by convolution as an alternative to Ferai-functions. INTRODDCTIONThe Droplet Model was originally developed to provide a macroscopic description of the binding energy and spatial distribution of a saturating, two-component, 1 2 leptodermous system, ' and the model coefficients were later chosen to correspond to the values they would 3 have in atomic nuclei.Like the liquid drop scdel that preceded it, the Droplet Model nuclear binding energy predictions agree with the measured values to within a percent or less for the heavier nuclei (10 MeV out of 1000 Me*).Similar accuracy (or even better) seems to be obtainable in the description of the density distribution as well.

Key concepts: Charge (physics), Physics, Coulomb, Statistical physics, Charge density, Redistribution (election), Convolution (computer science), Distribution (mathematics)

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