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Growth of quartet correlations in neutron-rich tellurium isotopes within quartet Bardeen-Cooper-Schrieffer theory

Abstract

Quartet correlations in neutron-rich Te isotopes are investigated within the quartet Bardeen-Cooper-Schrieffer (BCS) framework. Taking 100Sn as an inert core, we consider two valence protons and valence neutrons occupying the 2d5/2 ⊕ 1g7/2 model space, and solve the quartet BCS variational equations with a charge-independent isovector pairing interaction. The effective pairing strength is constrained from empirical neutron pairing gaps in the Te isotopic chain. We find that the valence quartet number increases as the valence neutron number is enlarged from Nval=2 to $14$. The same increasing behavior is also found for the condensed quartet component. The proton occupation of the 1g7/2 orbit is strongly enhanced relative to the conventional like-particle BCS reference and is driven close to the degeneracy-weighted limit. These results suggest that additional valence neutrons enhance the quartet admixture in the correlated quartet BCS state, while redistributing the fixed proton weight from pair-like configurations to quartet configurations.

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BibTeX
@misc{guo2026growth,
  title = {{Growth of quartet correlations in neutron-rich tellurium isotopes within quartet Bardeen-Cooper-Schrieffer theory}},
  author = {Yixin Guo and Hiroyuki Sagawa and Masaaki Kimura},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.15700},
  eprint = {2607.15700},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.15700},
}
RIS
TY  - UNPB
TI  - Growth of quartet correlations in neutron-rich tellurium isotopes within quartet Bardeen-Cooper-Schrieffer theory
AU  - Yixin Guo
AU  - Hiroyuki Sagawa
AU  - Masaaki Kimura
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2607.15700
UR  - https://arxiv.org/abs/2607.15700
AB  - Quartet correlations in neutron-rich Te isotopes are investigated within the quartet Bardeen-Cooper-Schrieffer (BCS) framework. Taking ^100Sn as an inert core, we consider two valence protons and valence neutrons occupying the 2d_5/2 ⊕ 1g_7/2 model space, and solve the quartet BCS variational equations with a charge-independent isovector pairing interaction. The effective pairing strength is constrained from empirical neutron pairing gaps in the Te isotopic chain. We find that the valence quartet number increases as the valence neutron number is enlarged from N_val=2 to $14$. The same increasing behavior is also found for the condensed quartet component. The proton occupation of the 1g_7/2 orbit is strongly enhanced relative to the conventional like-particle BCS reference and is driven close to the degeneracy-weighted limit. These results suggest that additional valence neutrons enhance the quartet admixture in the correlated quartet BCS state, while redistributing the fixed proton weight from pair-like configurations to quartet configurations.
ER  -