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A variational calculation of nuclear binding energies
Affiliation:1. School of Civil Engineering, Chongqing University, Chongqing, PR China;2. Key laboratory of New Technology of Construction of Cities in Mountain Area, Chongqing University, Ministry of Education, Chongqing 400045, PR China;3. Purdue University, West Lafayette, IN 47907-2045, USA
Abstract:We show that the interaction energy of a nuclear system interacting with a central Yukawa plus a velocity-dependent δ-function two-body interaction can be reasonably approximated as a function of the local densities. The resulting expressions bear general resemblance with the Weiszsacker semi-empirical mass law. A simple variational calculation is carried out with these expressions for the 4He, 16O, 40Ca and 56Ni nuclei and nuclear matter. The calculated binding energies and radii are in excellent agreement with the experimental data.
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