Spatial particle correlations in light nuclei. I Two-particle systemsReport as inadecuate




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1 Théorie GANIL - Grand Accélérateur National d-Ions Lourds

Abstract : Expressions for spatial two-particle correlations in an LS-coupled basis of the harmonic oscillator are used to display the probability distribution of two identical nucleons as a function of their relative distance and their distance from the center of the nucleus. It is shown that a two-nucleon state in the p shell with total orbital angular momentum L = 0 and total spin S = 0 contains a di-neutron and a cigarlike component with equal probability. This result can also be proven analytically with the use of angular correlation functions. Scattering of the nucleons from the p shell to other shells leads to the enhancement of the di-neutron con guration. A semi-quantitative application to 6He is presented which shows that the probability of the di-neutron con guration in the ground state is of the order of 60%. The longterm goal of this work is to obtain a geometric insight into the properties of nuclei with several nucleons in a valence shell.

Keywords : few-body systems shell model neutron distributions





Author: P. Mei - P. Van Isacker -

Source: https://hal.archives-ouvertes.fr/



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