Study for the s-wave in ^{10}Li with analysis of cross-sections

Abstract

We study the effect of s-wave cross-sections in ${}^4$He+$n$ and ${}^9$Li+$n$ elastic scattering reactions by using the Jost function method (JFM). In ${}^5$He (${}^4$He+$n$), the s-wave pole of the $S$-matrix does not contribute so much to the total cross-section. On the other hand, in ${}^{10}$Li (${}^9$Li+$n$), the s-wave component can not be neglected due to a relatively strong attraction for the s-waves of the core+$n$ potential. It is shown that the ${}^9$Li-$n$ potential, which is microscopically derived by taking into account the pairing-blocking effect for a p-wave neutron, reproduces the s-wave pole close to the ${}^9$Li+$n$ threshold and strongly enhances the s-wave cross-section near the threshold.

12 pages, 3 figures, submitted for publication