Year: 2015
Type: article
Abstract: We analyze the sensitivity of $\ensuremath{\beta}$-decay rates in $^{78}\mathrm{Ni}$ and $^{100,132}\mathrm{Sn}$ to a correction term in Skyrme energy-density functionals (EDFs) which modifies the radial shape of the nucleon effective mass. This correction is added on top of several Skyrme parametrizations which are selected from their effective mass properties and predictions about the stability properties of $^{132}\mathrm{Sn}$. The impact of the correction on high-energy collective modes is shown to be moderate. From the comparison of the effects induced by the surface-peaked effective mass in the three doubly magic nuclei, it is found that $^{132}\mathrm{Sn}$ is largely impacted by the correction, while $^{78}\mathrm{Ni}$ and $^{100}\mathrm{Sn}$ are only moderately affected. We conclude that $\ensuremath{\beta}$-decay rates in these nuclei can be used as a test of different parts of the nuclear EDF: $^{78}\mathrm{Ni}$ and $^{100}\mathrm{Sn}$ are mostly sensitive to the particle-hole interaction through the $B(\text{GT})$ values, while $^{132}\mathrm{Sn}$ is sensitive to the radial shape of the effective mass. Possible improvements of these different parts could therefore be better constrained in the future.
Source: Physical Review C
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2139307356