Two-neutron correlations in microscopic wave functions of He-6, He-8 and C-12

Abstract

Two-neutron densities obtained from microscopic wave functions of ${}^6$He and ${}^8$He are investigated to reveal di-neutron correlations. In particular, the comparison of the two-neutron density with the product of one-neutron densities is useful for a quantitative discussion of di-neutron correlations. The calculations show that the S=0 spatial two-neutron correlation increases at the surface of ${}^6$He$(0_1^{+})$ and ${}^8$He$(0_2^{+})$. The enhancement is remarkable in the ${}^6$He$(0_1^{+})$ ground state but not as prominent in the ${}^8$He$(0_1^{+})$ ground state. Configuration mixing of many Slater determinants is essential to describe the di-neutron correlations. Two-neutron densities in ${}^{12}$C wave functions with $\alpha$-cluster structures are also studied.

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References in corpus (12)

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