Abstract

Background: Recent experiments on $\ensuremath{\alpha}$-decay of odd-odd superheavy nuclei give important information on the structure of the low-lying states of these nuclei. For this reason, it is interesting to calculate the excitation spectra of superheavy nuclei in the framework of different approaches and compare the results with the experimental data.Purpose: To calculate the excitation energies of the two-quasiparticle states of nuclei belonging to the $\ensuremath{\alpha}$-decay chain of $^{288}115$ nucleus.Method: Two different single-particle potentials, modified two-center and Skyrme-based potentials, are used to calculate the energies of two-quasiparticle states.Results: The spectra of the low-lying states are calculated. An evolution of the splitting of the pseudospin doublets and an evolution of the energies of the unique parity single-particle states with the nuclear mass number are investigated. The $\ensuremath{\alpha}$-decay spectra of nuclei belonging to the $\ensuremath{\alpha}$-decay chain of $^{288}115$ are obtained and compared with the experimental data. A possibility of the $E1$ transitions in $^{276}\mathrm{Mt}$ following $\ensuremath{\alpha}$ decay of $^{288}115$ is considered.Conclusion: The $E1$ transitions in $^{276}\mathrm{Mt}$ might be related to the transitions $n9/2[604]\ensuremath{\rightarrow}n11/2[725],\phantom{\rule{0.16em}{0ex}}n11/2[725]\ensuremath{\rightarrow}n9/2[615]$, and $p9/2[505]\ensuremath{\rightarrow}p11/2[615]$. Besides the $E1$ transitions, the strong $M1$ and $M2$ transitions are expected in $^{276}\mathrm{Mt}$.

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