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Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a particle-boson core coupling model. The boson…

Nuclear Theory · Physics 2017-07-12 K. Nomura , T. Nikšić , D. Vretenar

A supersymmetric extension of the dynamical symmetry group $Sp^{B}(12,R)$ of the Interacting Vector Boson Model (IVBM), to the orthosymplectic group $OSp(2\Omega/12,R)$ is developed in order to incorporate fermion degrees of freedom into…

Nuclear Theory · Physics 2008-11-26 H. G. Ganev

The Interacting Boson Model with broken-pairs has been extended to include mixed proton-neutron configurations in the fermion model space. The extended version of the model has been used to describe high-spin bands in the transitional…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , S. Brant , G. Bonsignori , L. Corradini , C. M. Petrache

It is proposed that the odd-even staggering (OES) in the $\gamma$- bands of heavy deformed nuclei can be reasonably characterized by a discrete approximation of the fourth derivative of the odd-even energy difference as a function of…

Nuclear Theory · Physics 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos

We perform shell model calculations in odd-odd nuclei using a quadrupole-quadrupole interaction and single-particle splittings chosen so as to obtain the SU(3) results. Elliott had shown that such an interaction gives rotational bands for…

Nuclear Theory · Physics 2007-05-23 M. S Fayache , L. Zamick

Nuclear level density at low excitation energies is proposed as an indicator of the first order phase transitions in nuclei. The new signature, a maximum value of the level density at the critical point, appears to be sensitive to the…

Nuclear Theory · Physics 2018-08-03 D. Bucurescu , N. V. Zamfir

The candidate chiral doublet bands recently observed in $^{126}$Cs have been extended to higher spins, several new linking transitions between the two partner members of the chiral doublet bands are observed, and $\gamma$$-$intensities…

Nuclear Experiment · Physics 2009-11-13 S. Y. Wang , Y. Z. Liu , T. Komatsubara , Y. J. Ma , Y. H. Zhang

We apply a large-scale shell model to the study of proton-rich odd-mass nuclei with $N \approx Z$. Calculations predict unexpected structure in the $^{69}$As nucleus for which a detailed experiment was recently performed. In this odd-proton…

Nuclear Theory · Physics 2009-11-11 M. Hasegawa , K. Kaneko , T. Mizusaki

Solvable supersymmetric algebraic model for descriptions of the spherical to gama unstable shape- phase transition in even and odd mass nuclei is proposed. This model is based on dual algebraic structure and Richardson - Gaudin method,…

Nuclear Theory · Physics 2016-02-23 M. A. Jafarizadeh , M. Ghapanvari , N. Fouladi , Z. Ranjbar , A. Sadighzadeh

A study of the shape transition from spherical to axially deformed nuclei in the even Ce isotopes using the nucleon-pair approximation of the shell model is reported. As long as the structure of the dominant collective pairs is determined…

Nuclear Theory · Physics 2015-06-05 Y. Lei , S. Pittel , G. J. Fu , Y. M. Zhao

A recent high-resolution $\alpha$, $X$-ray, and $\gamma$-ray coincidence-spectroscopy experiment offered first glimpse of excitation schemes of isotopes along $\alpha$-decay chains of $Z=115$. To understand these observations and to make…

Nuclear Theory · Physics 2014-09-05 Yue Shi , D. E. Ward , B. G. Carlsson , J. Dobaczewski , W. Nazarewicz , I. Ragnarsson , D. Rudolph

The structures of two observed high-spin rotational bands in the doubly-odd nucleus ${}^{168}$Ta are investigated using the cranked shell model with pairing correlations treated by a particle-number conserving method, in which the blocking…

Nuclear Theory · Physics 2018-11-21 Zhen-Hua Zhang , Miao Huang

Isomeric states in the nuclei along the rapid proton capture process path are studied by the projected shell model. Emphasis is given to two waiting point nuclei 68Se and 72Kr that are characterized by shape coexistence. Energy surface…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Michael Wiescher , Ani Aprahamian , Jacob Fisker

The reported transverse wobbling band in odd-mass $^{105}$Pd has been reinvestigated by the triaxial particle rotor model. Employing different parameter sets of moment of inertia (MOI), several calculated results could be in good agreement…

Nuclear Theory · Physics 2022-04-04 Hui Zhang , Bin Qi , Xu Dong Wang , Hui Jia , Shou Yu Wang

The interpretation of the emergent collective behaviour of atomic nuclei in terms of deformed intrinsic shapes [1] is at the heart of our understanding of the rich phenomenology of their structure, ranging from nuclear energy to…

Nuclear Theory · Physics 2022-02-25 Benjamin Bally , Michael Bender , Giuliano Giacalone , Vittorio Somà

We have recently developed an efficient method of performing the full quantum number projection from the most general mean-field (HFB type) wave functions including the angular momentum, parity as well as the proton and neutron particle…

Nuclear Theory · Physics 2015-06-19 S. Tagami , M. Shimada , Y. Fujioka , Y. R. Shimizu , J. Dudek

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

To investigate $pn$ pair correlations in $N=Z=\textrm{odd}$ nuclei, we develop a new framework based on the generator coordinate method of the $\beta\gamma$ constraint antisymmetrized molecular dynamics. In the framework, the isospin…

Nuclear Theory · Physics 2017-02-10 Hiroyuki Morita , Yoshiko Kanada-En'yo

In this work we examine the possibility to describe yrast positive- and negative-parity excitations of deformed even-even nuclei through a collective rotation model in which the nuclear surface is characterized by triaxial quadrupole and…

Nuclear Theory · Physics 2016-04-05 M. S. Nadirbekov , N. Minkov , M. Strecker , W. Scheid

The shape phase transition for certain isotope or isotone chains, associated with the quantum phase transition of finite nuclei, is an intriguing phenomenon in nuclear physics. A notable case is the Xe isotope chain, where the structure…

Nuclear Theory · Physics 2024-12-09 Shujun Zhao , Hao-jie Xu , You Zhou , Yu-Xin Liu , Huichao Song