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Why are Most Nuclei Prolate?
Author(s) -
Zickendraht W.
Publication year - 1990
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19905020607
Subject(s) - prolate spheroid , physics , oblate spheroid , nucleon , coupling constant , constant (computer programming) , woods–saxon potential , schrödinger equation , coupling (piping) , prolate spheroidal coordinates , classical mechanics , quantum mechanics , quantum electrodynamics , nuclear physics , nuclear reaction , computer science , programming language , mechanical engineering , engineering
After seperating collective and single particle coordinates the Schrödinger equation of a system of A nucleons has a form related to the conventional unified model, but in contrast to that there are no redundant variables. Working with the transformed Schrödinger equation, using the strong coupling approximation and requiring constant nuclear volume one finds that two thirds of the nuclei should be prolate and that their largest deformations should be about 1.5 times larger than those for oblate nuclei.