Abstract
A geometric interpretation is given of matrix elements of a short-range interaction between states that are written in terms of aligned neutron–proton pairs.
Highlights
In this contribution matrix elements of the nucleon–nucleon interaction between shell-model states are studied from a geometric point of view
The geometry of the shell model can be extended from two- to four-nucleon configurations [4]
In this contribution the geometric interpretation of the neutron–proton interaction is examined for a four-nucleon configuration when written in terms of aligned np pairs
Summary
In this contribution matrix elements of the nucleon–nucleon interaction between shell-model states are studied from a geometric point of view. The strength of the nucleon–nucleon interaction has a universal dependence on this angle—universality that can be shown to result from the shortrange character of the effective interaction [2]. This geometric interpretation of the nucleon–nucleon interaction is an accepted feature of nuclear structure; a discussion of it can be found in textbooks on nuclear physics, see e.g. Sect. The geometry of the shell model can be extended from two- to four-nucleon configurations [4] In this contribution the geometric interpretation of the neutron–proton (np) interaction is examined for a four-nucleon configuration when written in terms of aligned np pairs
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