By J.W. Negele, Erich W. Vogt
This quantity includes significant articles, one offering a old retrospective of 1 of the nice triumphs of nuclear physics within the 20th century and the opposite supplying a didactic advent to 1 of the quantitative instruments for realizing powerful interactions within the twenty-first century. this article is appropriate just for complicated graduate classes in nuclear physics.
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Additional info for Advances in Nuclear Physics, Volume 27 (Advances in the Physics of Particles and Nuclei)
Inglis, as well as Kurath, followed the work of Feenberg and Wigner (1937). Even in the face of strong criticism of the shell model, at that time, it was still considered applicable for nuclei up to oxygen. Feenberg and Wigner as well as Feenberg and Phillips (1937), considered the complete in LS-coupling. They calculated energies of various states and compared them with experiment. When the shell model was introduced, Inglis looked at the beginning of the and concluded that neither LS-coupling nor fitted the data.
It was her paper which forced the shell model on the physics community. The realization that there are magic numbers was in sharp contrast with a statistical approach to the nucleus or to the liquid drop model. In those models, there could be no distinction between nucleon numbers 50 and 52 or between 82 and 84. The solid experimental facts which Mayer presented became a challenge to physicists. Maria Mayer’s paper was noticed by Nordheim and by Feenberg and Hammack who at the end of the same year submitted their versions of the shell model.
It is possible that there is a transition from LS-coupling in the early part of the shell to in the latter part”. In his paper, Kurath used harmonic oscillator wave functions. The potential of the interaction is a Gaussian potential a la Feenberg and Wigner This potential may be multiplied by 1 or by space exchange, spin exchange or space-spin exchange operators. Within the matrix elements of any 32 Igal Talmi potential interaction are given in terms of two radial integrals. In the standard approach, the two-body potential is expanded in a series of Legendre polynomials whose argument is the cosine of the angle between the two vectors and leading from the origin of the potential to the two nucleons.