The role of the tensor part of the nuclear interaction is actively investigated in recent years due to experimental advancement yielding new data in nuclei far from the $\beta$-stability line. In this article we study the effect of this part of the nuclear interaction on deformed neutron magic numbers in the rare-earth region within the Skyrme energy-density functional for various TIJ [T. Lesinski, M. Bender, K. Bennaceur, T. Duguet, and J. Meyer, Phys. Rev. C 76, 014312 (2007)] parametrizations. Two quantities signaling magic numbers are considered: two-neutron separation energies and single-particle energies. They are calculated in isotopic series involving well-deformed rare-earth nuclei ranging from $Z=64$ to $Z=72$ in the $N=100$ region. Obtained results show that, whereas the neutron-proton tensor contribution to binding energies is important to reproduce neutron subshell closure at $N=104$ in heavier rare earths $\mathrm{Yb}(Z=70)$ and $\mathrm{Hf}(Z=72)$ isotopes, like-particle tensor also plays a role in the single-particle spectrum around Fermi level and is even favored in lighter $\mathrm{Gd}(Z=64)$ and $\mathrm{Dy}(Z=66)$ rare-earth isotopes.

• Received 25 February 2021
• Revised 12 April 2021
• Accepted 28 May 2021

DOI:https://doi.org/10.1103/PhysRevC.103.064315