A model study of finite range three-body interactions

✍ Scribed by D.C Zheng; L Zamick; S Moszkowski

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 602 KB
• Volume: 201
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(90)90044-o

✦ Synopsis

An interaction consisting of a two-body attractive Gaussian and three-body repulsive Gaussian is applied to study the ground state and four-particle excitation state of 4He. This may be regarded as an extension of the Skyrme interactions (T. H. R. Skyrme, Philos. Msg. 1 (1956), 1043; Nucl. Phys. 9 (1959), 615; D. Vautherin and D. M. Brink, Phys. Rev. C S (1972), 626) all of which have zero range three-body terms. Up to a certain point, increasing the range a, of the three-body term results in a deeper and sharper minimum for the energy of the four-particle excitation. However if a3 becomes too large relative to the two-body range a2, a phenomenon, which we call pseudo-collapse, comes into play. In contrast to the above, when an interaction consisting of a short range two-body repulsion and long range two-body attraction is used, there is no relative minimum in the energy of the four-particle excitation. Thus, not all states obtained in usual shell model calculations may really exist.