Orateur
Description
The isomeric structure and properties in proton-rich nuclides are crucial for determining the path of the rapid proton capture ($rp$)-process. For example, bound nuclei inside the dripline can have unbound isomeric states and change the $rp$-process pathway. The configuration interaction shell model (CISM) is used to investigate nuclei around the $Z=N$ line at the south-west region of $^{100}$Sn. The excitation mechanism of $1/2^-_1$ isomers is identified as dominated by exciting one nucleon in the $1p_{1/2}$ orbit to the $0g_{9/2}$ orbit. The study explores the decay properties of both the ground and isomeric states. Remarkably, competitive $\beta^+$ decay and proton emission are predicted in the unbound $1/2^-_1$ isomer of $^{97}$Sn, suggesting potential influences on the $rp$-process pathway.