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A systematic analysis of $E2$ matrix elements of $^{72}$Ge, $^{76}$Ge, $^{168}$Er, $^{186}$Os, $^{188}$Os, $^{190}$Os, $^{192}$Os and $^{194}$Pt nuclides is performed using the beyond mean-field approach of triaxial projected shell model…

Nuclear Theory · Physics 2025-02-26 S. P. Rouoof , Nazira Nazir , S. Jehangir , G. H. Bhat , J. A. Sheikh , N. Rather , S. Frauendorf

The properties of $\gamma$ instability in rapidly rotating even-even $^{132-138}$Nd isotopes have been investigated using the pairing-deformation self-consistent total-Routhian-surface calculations in a deformation space of ($\beta_2,…

Nuclear Theory · Physics 2015-06-19 Qing-Zhen Chai , Hua-Lei Wang , Qiong Yang , Min-Liang Liu

Triaxial shapes in even-even nuclei have been considered since the early days of the nuclear collective model. Although many theoretical approaches have been used over the years for their description, no effort appears to have been made for…

The microscopic origin of the $\gamma$-softness (fluctuations in the triaxiality parameter $\gamma$ of the nuclear shape) observed in atomic nuclei is studied in the framework of the triaxial projected shell model approach, which is based…

Nuclear Theory · Physics 2023-03-01 Nazira Nazir , S. Jehangir , S. P. Rouoof , G. H. Bhat , J. A. Sheikh , N. Rather , S. Frauendorf

Most atomic nuclei are deformed with a quadrupole shape described by its overall strength $\beta_2$ and triaxiality $\gamma$. The deformation can be accessed in high-energy heavy-ion collisions by measuring the collective flow response of…

Nuclear Theory · Physics 2022-05-04 Jiangyong Jia

The positive-parity states of even-even Xe nuclei are investigated within the framework of modified O(6) limit of the interacting boson model (IBM1). The effective three-body interaction [QQQ] where Q is the IBM O(6) quadrupole operator is…

Nuclear Theory · Physics 2022-11-03 W. B. Elsharkawy , Abeer Mera , M. Kotb , A. M. Khalaf

Spherical harmonics form a complete orthonormal basis which allows any function on the sphere to be expanded. The nuclear shape of a given eigenstate can thus be described within Bohr's quasi-molecular model by a coordinate transformation…

Nuclear Theory · Physics 2026-05-19 José Nicolás Orce , Manfred Jason Jaftha

The influence of triaxial deformation $\gamma$ on the purely collective form of wobbling motion in even-even nuclei are discussed based on the triaxial rotor model. It is found that the harmonic approximation is realized well when…

Nuclear Theory · Physics 2021-05-26 Bin Qi , Hui Zhang , Shou Yu Wang , Qi Bo Chen

An extensive, model-independent analysis of the nature of triaxial deformation in $^{76}$Ge, a candidate for neutrinoless double-beta ($0\nu\beta\beta$) decay, was carried out following multi-step Coulomb excitation. Shape parameters…

Nuclei exhibit both single-particle and collective degrees of freedom, with the latter often subdivided into vibrational and rotational motions. Experimentally identifying the relative roles of these collective modes is extremely…

Nuclear Theory · Physics 2020-11-11 J. Henderson

Although most nuclear spectroscopy as well as atomic hyperfine structure data do not deliver accurate information on nuclear axiality the ad-hoc assumption of symmetry about one axis found widespread use in nuclear model calculations. In…

Nuclear Theory · Physics 2022-08-31 Eckart Grosse , Arnd. R. Junghans

The present work is a continuation of our earlier investigation with the primary objective to systematically calculate the $E2$ matrix elements using the microscopic approach of the triaxial projected shell model (TPSM). In the earlier…

Nuclear Theory · Physics 2026-04-14 Kouser Qureshie , S. P. Rouoof , J. A. Sheikh , N. Rather , S. Jehangir , G. H. Bhat , S. Frauendorf

The nuclear quadrupole collective states at low excitation energies are described in a novel, fully quantum mechanical and systematic manner as compared to traditional pictures initiated by Aage Bohr. The ellipsoidal shapes are shown to be…

Nuclear Theory · Physics 2025-10-07 Takaharu Otsuka

Background: Recently, transition quadrupole moments in rotational bands of even-mass neutron-rich isotopes of molybdenum and ruthenium nuclei have been measured. The new data have provided a challenge for theoretical descriptions invoking…

Nuclear Theory · Physics 2015-10-28 Chunli Zhang , Gowhar Bhat , Witek Nazarewicz , Javid Sheikh , Yue Shi

In the framework free triaxiality model branching ratio reduced E2-transitions probabilities are studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations $\beta_2$ and $\gamma$ are dynamic.…

Nuclear Theory · Physics 2023-10-17 M. S. Nadirbekov , O. A. Bozarov , S. N. Kudiratov

The quadrupole collectivity of low-lying states and the anomalous behavior of the $0^+_2$ and $2^+_3$ levels in $^{72}$Ge are investigated via projectile multi-step Coulomb excitation with GRETINA and CHICO-2. A total of forty six $E2$ and…

The triaxiality of odd-mass nuclei is investigated by coupling a quasiparticle to an even-even core through the core-quasiparticle coupling model. Both soft and rigid triaxial cores are considered. The "soft core" is described by the…

Nuclear Theory · Physics 2022-11-30 Weichuan Li , Mark A. Caprio , Stefan Frauendorf

In the traditional view, heavy deformed nuclei are like axially-symmetric prolate ellipsoids, rotating about one of the short axes. In the present picture, their shapes may be triaxial. The triaxial shape yields complex rotations, which…

Nuclear Theory · Physics 2025-03-21 T. Otsuka , Y. Tsunoda , N. Shimizu , Y. Utsuno , T. Abe , H. Ueno

The collective structure of $^{106}$Cd is elucidated by multi-step Coulomb excitation of a 3.849 MeV/$A$ beam of $^{106}$Cd on a 1.1 mg/cm$^2$ $^{208}$Pb target using GRETINA-CHICO2 at ATLAS. Fourteen $E2$ matrix elements were obtained. The…

We study the properties of the nuclear rotational excitations with hypothetical tetrahedral symmetry by employing the microscopic mean-field and residual-interaction Hamiltonians with angular-momentum and parity projection method; we focus…

Nuclear Theory · Physics 2015-06-12 Shingo Tagami , Yoshifumi R. Shimizu , Jerzy Dudek
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