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PreprintCC BY 4.0arXiv

Spectroscopy of 211,213,215Pb isotopes and seniority properties

Abstract

We first consider lead isotopes with valence neutrons in the g9/2shell. We especially compare 211Pb (n=3), 213Pb (n=5) and 215Pb (n=7), 213Pb being at mid-shell. Motivated by the fact the J = 21/2+ and J =3/2+ states are pure seniority v=3 states for both n=3 and n=5, we compare the energy splitting E(J=21/2+)-E(J=3/2+) for various interactions. We then discuss the position of the lowest J=3/2+ state in both n=3 and n=5, although, this state has not been found experimentally. Calculations with configurations beyond g9/2 are also considered. We next address the fact that the J=21/2+ state is isomeric for both n=3 and n=5.

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BibTeX
@misc{zamick2026spectroscopy,
  title = {{Spectroscopy of 211,213,215Pb isotopes and seniority properties}},
  author = {Larry Zamick and Praveen Srivastava},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.24951},
  eprint = {2608.24951},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24951},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Spectroscopy of 211,213,215Pb isotopes and seniority properties
AU  - Larry Zamick
AU  - Praveen Srivastava
PY  - 2026
DA  - 2026/08/24
PB  - arXiv
DO  - 10.48550/arxiv.2608.24951
UR  - https://arxiv.org/abs/2608.24951
AB  - We first consider lead isotopes with valence neutrons in the g9/2shell. We especially compare 211Pb (n=3), 213Pb (n=5) and 215Pb (n=7), 213Pb being at mid-shell. Motivated by the fact the J = 21/2+ and J =3/2+ states are pure seniority v=3 states for both n=3 and n=5, we compare the energy splitting E(J=21/2+)-E(J=3/2+) for various interactions. We then discuss the position of the lowest J=3/2+ state in both n=3 and n=5, although, this state has not been found experimentally. Calculations with configurations beyond g9/2 are also considered. We next address the fact that the J=21/2+ state is isomeric for both n=3 and n=5.
ER  -