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Spatial particle correlations in light nuclei. I Two-particle systems

P. Mei 1 P. van Isacker 1
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.
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Submitted on : Tuesday, January 3, 2012 - 2:06:15 PM
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P. Mei, P. van Isacker. Spatial particle correlations in light nuclei. I Two-particle systems. Annals of Physics, Elsevier Masson, 2012, 327, pp.1162-1181. ⟨10.1016/j.aop.2011.12.004⟩. ⟨in2p3-00656025⟩



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