ﻻ يوجد ملخص باللغة العربية
The interpretation of the recently reported low-lying excited bands in $gamma$-soft odd-mass nuclei as wobbling bands is examined in terms of the interacting boson-fermion model that is based on the universal nuclear energy density functional. The predicted mixing ratios of the $Delta{I}=1$ electric quadrupole ($E2$) to magnetic dipole ($M1$) transition rates between yrast bands and those yrare bands previously interpreted as wobbling bands in $^{135}$Pr, $^{133}$La, $^{127}$Xe, and $^{105}$Pd nuclei are consistently smaller in magnitude than the experimental values on which the wobbling interpretation is based. These calculated mixing ratios indicate the predominant $M1$ character of the transitions from the yrare bands under consideration to the yrast bands, being in agreement with the new experimental data, which involve both the angular distribution and linear polarization measurements. The earlier wobbling assignments are severely questioned.
It is argued that the experimental criteria recently used to assign wobbling nature to low-spin bands in several nuclei are insufficient and risky. New experimental data involving angular distribution and linear polarization measurements on an excite
A systematic investigation of the nuclear observables related to the triaxial degree of freedom is presented using the multi-quasiparticle triaxial projected shell model (TPSM) approach. These properties correspond to the observation of $gamma$-bands
Inspired by the recent experimental data (Phys. Lett. B {bf 675} (2009) 420), we extend the triaxial projected shell model approach to study the $gamma$-band structure in odd-mass nuclei. As a first application of the new development, the $gamma$-vib
We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing vibrations, a boson-
A triaxial core rotating around the middle axis, i.e. 2-axis, is cranked around the 1-axis, due to the coupling of an odd proton from a high j orbital. Using the Bargmann representation of a new and complex boson expansion of the angular momentum com