The sensitivity of halo nuclei to the nuclear radius

Abstract

$\beta$-decay provides important information about the structure of halo nuclei. Because of the root-mean-square radius $(R_{rms})$ of the neutron halo distribution is very large, the phase-space factor for halo nuclei must be more sensitively depended on the radius. In this work the sensitivity of the nuclear radius to the phase-space factor was investigated for some halo nuclei and the improvement for phase-space factor for halo nuclei was reported. The results were applied to calculate the logft-values for the halo nuclei ($^{6}He$, $^{8}He$, $^{11}Be$, $^{14}Be$. $^{9}Li$, $^{1l}Li$). The modification proposed shows reasonable results for many cases.