English

Microscopic investigation of wobbling motion in atomic nuclei using the triaxial projected shell model approach

Nuclear Theory 2024-05-15 v1

Abstract

A systematic investigation of the wobbling band structures observed in odd-mass nuclei of 161,163,165,167^{161,163,165,167}Lu, 167^{167}Ta 131^{131}Cs, 135^{135}Pr, 151^{151}Eu, 183^{183}Au, 133^{133}Ba, 105^{105}Pd, 133^{133}La, 187^{187}Au and 127^{127}Xe is performed using the triaxial projected shell model (TPSM) approach. It is demonstrated that all the studied band structures have transverse wobbling mode, except for 133^{133}La, 187^{187}Au (negative parity), 183^{183}Au (positive parity) and 127^{127}Xe nuclei where the wobbling frequency increases with spin, indicating that the collective motion has a longitudinal character. To elucidate further the wobbling nature of the band structures, electromagnetic transition probabilities have been evaluated and it is observed that inter-band transitions are dominated by E2E2 rather than M1M1 as expected for a typical signature partner band. It is shown that TPSM approach provides a reasonable description of all the measured properties of the studied nuclei.

Keywords

Cite

@article{arxiv.2405.08368,
  title  = {Microscopic investigation of wobbling motion in atomic nuclei using the triaxial projected shell model approach},
  author = {J. A. Sheikh and S. Jehangir and G. H. Bhat},
  journal= {arXiv preprint arXiv:2405.08368},
  year   = {2024}
}

Comments

Version of the submitted version on arxiv to be published as chapter 12 of the book titled "Chirality and wobbling in Nuclei" by Taylor & Francis