Isospin-invariant Skyrme density functional investigation of quadrupole deformations in the isospin triplets…

Abstract

In this work, we perform self-consistent isospin-invariant Skyrme density functional calculations to investigate the ground-state properties of the isospin triplets with mass numbers A=70, $74$, and $78$. The present study is motivated by the reported anomaly between the observed quadrupole deformation and that expected from isospin symmetry. It is shown that the trend of the deduced T_z dependence of B(E2,2₁⁺ → 0₁⁺) transition strengths from the charge quadrupole moments is consistent with the measured values for the T_z=± 1 members of the A=70 triplet. However, the calculated B(E2,2₁⁺ → 0₁⁺) rates for the T_z=0 members exceed the experimental transition rates in all the three studied triplets. Our study implies that non-linear dependence of the B(E2,2₁⁺ → 0₁⁺) transition strengths is expected in all of them and primarily arises from the observed suppressed transition rates for the T_z=0 members.

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BibTeX RIS

BibTeX

@misc{tak2026isospininvariant,
  title = {{Isospin-invariant Skyrme density functional investigation of quadrupole deformations in the isospin triplets of $\bfA=70, 74$ and $\bf78$}},
  author = {Saliha Tak and N. Rather and J. A. Sheikh and S. P. Rouoof and S. Jehangir and G. H. Bhat},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25936},
  eprint = {2610.25936},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25936},
}

RIS

TY  - UNPB
TI  - Isospin-invariant Skyrme density functional investigation of quadrupole deformations in the isospin triplets of bfA=70, 74 and bf78
AU  - Saliha Tak
AU  - N. Rather
AU  - J. A. Sheikh
AU  - S. P. Rouoof
AU  - S. Jehangir
AU  - G. H. Bhat
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.25936
UR  - https://arxiv.org/abs/2610.25936
AB  - In this work, we perform self-consistent isospin-invariant Skyrme density functional calculations to investigate the ground-state properties of the isospin triplets with mass numbers A=70, $74$, and $78$. The present study is motivated by the reported anomaly between the observed quadrupole deformation and that expected from isospin symmetry. It is shown that the trend of the deduced T_z dependence of B(E2,2_1^+ → 0_1^+) transition strengths from the charge quadrupole moments is consistent with the measured values for the T_z=± 1 members of the A=70 triplet. However, the calculated B(E2,2_1^+ → 0_1^+) rates for the T_z=0 members exceed the experimental transition rates in all the three studied triplets. Our study implies that non-linear dependence of the B(E2,2_1^+ → 0_1^+) transition strengths is expected in all of them and primarily arises from the observed suppressed transition rates for the T_z=0 members.
ER  -

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