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The constituent quark model can explain the strong selectivity of the $N\eta$ decay branching ratios of the nucleon resonances if the fine structure interaction between the constituent quarks is described in terms of Goldstone boson…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Ya. Glozman , D. O. Riska

The phenomenon of shape coexistence is studied in the Relativistic Hartree-Bogoliubov framework. Standard relativistic mean-field effective interactions do not reproduce the ground state properties of neutron-deficient Pt-Hg-Pb isotopes. It…

Nuclear Theory · Physics 2009-11-07 T. Niksic , D. Vretenar , P. Ring , G. A. Lalazissis

We discuss the notion of partial dynamical symmetry in relation to nuclear spectroscopy. Explicit forms of Hamiltonians with partial $SU(3)$ symmetry are presented in the framework of the interacting boson model of nuclei. An analysis of…

Nuclear Theory · Physics 2009-01-23 A. Leviatan

Recently, it has been argued that a spherical-like spectrum emerges in the SU3-IBM, opening up new approaches to understand the {\gamma}-softness in realistic nuclei. In a previous paper, {\gamma}-softness with degeneracy of the ground and…

Nuclear Theory · Physics 2024-04-22 Tao Wang , Bing-cheng He , Chun-xiao Zhou , Dong-kang Li , Lorenzo Fortunato

We present a symmetry-based approach for shape coexistence in nuclei, founded on the concept of partial dynamical symmetry (PDS). The latter corresponds to a situation when only selected states (or bands of states) of the coexisting…

Nuclear Theory · Physics 2017-11-17 A. Leviatan , N. Gavrielov

Nuclear shape transition and oblate-prolate coexistence in $N=Z$ nuclei are investigated within the configuration space ($2p_{3/2}$, $1f_{5/2}$, $2p_{1/2}$, and $1g_{9/2}$). We perform shell model calculations for $^{60}$Zn, $^{64}$Ge, and…

Nuclear Theory · Physics 2009-11-10 K. Kaneko , M. Hasegawa , T. Mizusaki

Unstable particles can be consistently described in the framework of quantum field theory. Starting from the full S-matrix amplitudes of B^+ --> (2 pi, 3 pi) l nu decays as examples in the energy region where the rho-omega resonances are…

High Energy Physics - Phenomenology · Physics 2011-09-13 G. Lopez Castro , J. H. Munoz , J. Pestieau

Spectroscopic properties that characterize shape phase transitions in neutron-rich odd-A Zr isotopes are investigated using the framework of nuclear density functional theory and particle-core coupling. The interacting-boson Hamiltonian of…

Nuclear Theory · Physics 2021-01-01 K. Nomura , T. Nikšić , D. Vretenar

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum.…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Jie Zhao , Shan-Gui Zhou

The puzzle of finding consistent nuclear configurations for explaining both the decay probabilities and moments of the ${9/2}^-$, ${8}^+$ and ${21/2}^-$ isomers in and around $N=126$ closed shell has been approached in the generalized…

Nuclear Theory · Physics 2022-03-02 Bhoomika Maheshwari , Deepika Choudhury , Ashok Kumar Jain

In this contribution I would like to discuss briefly the recent developments of the nuclear configuration interaction shell model approach. As examples, we apply the model to calculate the structure and decay properties of low-lying states…

Nuclear Theory · Physics 2016-11-03 Chong Qi

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost…

Nuclear Theory · Physics 2008-11-26 S. Typel

The shape transitions and shape coexistence in the Ge and Se isotopes are studied within the interacting boson model (IBM) with the microscopic input from the self-consistent mean-field calculation based on the Gogny-D1M energy density…

Nuclear Theory · Physics 2017-06-15 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

Background: In the mass regions with an abnormal shell structure, the so-called ``island of inversion," the spin-parity of odd-mass nuclei provides quantitative insights into the shell evolution. However, the experimental determination of…

Nuclear Theory · Physics 2026-03-19 R. Barman , W. Horiuchi , M. Kimura , R. Chatterjee

Nuclei exhibit quantum phase transitions (earlier called ground state phase transitions) between different shapes as the number of nucleons is modified, resulting in changes in the ground and low lying nuclear states. Special solutions of…

Nuclear Theory · Physics 2008-11-26 Dennis Bonatsos , D. Lenis , D. Petrellis

We present a self-consistent theory for the description of the spectroscopic properties of odd nuclei which includes exact blocking, particle-number and angular-momentum projection and configuration mixing. In our theory the pairing…

Nuclear Theory · Physics 2018-11-14 M. Borrajo , J. Luis Egido

The optical properties of PT-symmetric periodic stack of the layers with balanced loss and gain are examined. We demonstrate that tunnelling phenomenon in periodic structures is connected with excitation of surface waves at the boundaries…

Optics · Physics 2016-10-12 Oksana Shramkova , Giorgios Tsironis

The evolution of shapes and low-energy shape coexistence is analyzed in neutron-deficient Nd and Sm nuclei, using a five-dimensional quadrupole collective Hamiltonian (5DCH). Deformation energy surfaces, calculated with the relativistic…

Nuclear Theory · Physics 2018-12-05 J. Xiang , Z. P. Li , W. H. Long , T. Nikši\' c , D. Vretenar

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

A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the $B(E2)$ anomaly, characterized by $B_{4/2}=B(E2;4_1^+\rightarrow2_1^+)/B(E2;2_1^+\rightarrow0_1^+)<1.0$ and…

Nuclear Theory · Physics 2025-09-11 Wei Teng , Sheng Nan Wang , Xian Zhi Zhao , Yu Zhang