By J.W. Negele, Erich W. Vogt
This quantity comprises significant articles, one supplying a old retrospective of 1 of the nice triumphs of nuclear physics within the 20th century and the opposite supplying a didactic creation to 1 of the quantitative instruments for figuring out robust interactions within the twenty-first century. this article is acceptable 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)
This leads to a convenient comparison of various potentials. As applications, relative positions of the levels with and were calculated for configurations in and also In all cases it was found that the cross over strongly depends on the shape of the potential. Of special interest was the case since several J = 7/2 levels in several nuclei were discovered, close to expected J = 9/2 levels and sometimes even lower than the latter. Goldhaber and Sunyar assigned them to configurations. The calculations produced for certain potentials low lying J = 7/2 levels but not as ground states for any range.
A strong spin-orbit interaction could not be compatible with a very elegant theory developed by Wigner (1937) and independently by Hund (1937). It is based on nucleon-nucleon interactions which are due to a potential (“Wigner force”) or a potential multiplied by a space exchange operator (“Majorana force”). Eigenstates of Hamiltonians with such interactions could be classified according to irreducible representations of the SU(4) group. This theory was used in pre-1949 years and could account for some important properties of nuclei, like symmetry energy.
Thus, favoured transitions are those between states in the same supermultiplet and all other allowed decays are expected to be unfavoured. This result of SU(4) symmetry agrees in most cases with experiment. There is no similar distinction between favoured and unfavoured beta decays in the shell model. Some systematic deviations from extreme can yield such a distinction but not in such an elegant way. It is worth while to mention that there is one case of a highly attenuated Gamow-Teller beta decay between two states which should be in the same supermultiplet.
Advances in Nuclear Physics, Volume 27 (Advances in the Physics of Particles and Nuclei) by J.W. Negele, Erich W. Vogt