An elementary derivation of the Bethe-Weizscker semiempirical nuclear mass formula which is in the spirit of current views of nuclear structure, is given. Lennard-Jones potentials are assumed to act between nuclear. Thus, the major interaction between nn, pp, and np pairs is taken of the form —g/r3+h/r4, where r is the separation distance between nuclear, and g and h are constants. An additional "symmetry" interaction of the form s/r3 is assumed for np pairs. Summing the potential energy over all nucleon pairs and using the Fermi statistical estimate of the kinetic energy, the Bethe-Weizscker semiempirical mass formula is obtained directly. The constants of the mass formula are discussed in relation to the N-N interaction and are found to be quite plausible. © 1968, American Association of Physics Teachers. All rights reserved.
J. P. Wesley and A. E. Green, "The Bethe-Weizsäcker Mass Formula And Lennard-Jones N-N Potentials," American Journal of Physics, vol. 36, no. 12, pp. 1093 - 1096, American Association of Physics Teachers, Jan 1968.
The definitive version is available at https://doi.org/10.1119/1.1974371
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01 Jan 1968