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Proton-neutron symplectic model description of ^(106)Cd

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Chinese Physics C 2024年第3期48卷 169-179页

作者： h.g.ganev Joint Institute for Nuclear Research DubnaRussia Institute of Mechanics Bulgarian Academy of SciencesSofiaBulgaria

In this study,a microscopic shell-model description of the low-lying collective states in the weakly deformed nucleus ^(106)Cd within the recently proposed microscopic version of the Bohr-Mottelson model is provided.A good description of the excitation energies of the lowest ground,γ,andβquasibands is obtained without the adjustable kinetic energy ***,γdegrees of freedom are shown to play a crucial role in the description of spectroscopy of this nucleus.A modified SU(3)SU(3)preserving h.gh-order interaction is used to produce aγ-unstable type of odd-even staggering,observed experimentally between the states of the quasi-γ*** current approach enables the characterization of observed intraband and interband quadrupole *** findings of this study propose an alternative interpretation of the fundamental question regarding the nature of low-energy vibrations,as well as the emergence of deformation and collectivity in weakly deformed atomic nuclei.

关键词： shell-model version of the Bohr-Mottelson model proton-neutron symplectic model Sp(12,R)dynamical algebra quadrupole dynamics

Microscopic shell-model description of irrotational-flow dynamics in^(102)Pd

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Chinese Physics C 2024年第1期48卷 82-93页

作者： h.g.ganev Joint Institute for Nuclear Research DubnaRussia Institute of Mechanics Bulgarian Academy of SciencesSofiaBulgaria

The structure of the low-lying collective excitations in 102Pd is examined within the recently proposed microscopic shell-model version of the Bohr-Mottelson(BM)collective model.A good description of the excitation energies of the lowest ground,γ,andβbands,as well as the staggering function between the collective states of theγband and some other energy-dependent quantities,is *** low-energy intraband and interband quadrupole dynamics is reasonably well described within the present proton-neutron sympletic based shell-model approach without the use of an effective charge and compared with the predictions of nuclear structure *** obtained results of the present study shed light on the question of the existence of irrotational-flow type quadrupole dynamics,which lies on the ground of the original BM model of quantized vibrations and surface-wave rotations in atomic nuclei.

关键词： shell-model version of the Bohr-Mottelson model irrotational-flow dynamics proton-neutron symplectic model Sp(12,R)dynamical algebra

Proton-neutron symplectic model description of ^(20)Ne

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Chinese Physics C 2022年第4期46卷 141-149页

作者： h.g.ganev Joint Institute for Nuclear Research DubnaRussia

A microscopic description of the low-lying positive-parity rotational bands in ^(20)Ne is given within the framework of the symplectic-based proton-neutron shell-model approach provided by the proton-neutron symplectic model(PNSM).For this purpose,a model hamiltonian is *** includes an algebraic interaction lying in the enveloping algebra of the Sp(12,R)dynamical group of the PNSM,which introduces both horizontal and vertical mixings of different SU(3)irreducible representations within the Sp(12,R)irreducible collective space of ^(20)Ne.A good overall description is obtained for the excitation energies of the ground and first two excited β bands,including the ground state intraband B(E2)quadrupole collectivity and the known interband B(E2)transition probabilities between the low-lying collective states,without utilizing an effective charge.

关键词： proton-neutron symplectic model shell-model states collective states in^(20)Ne

Matrix elements in the SU(1,1)⊗SO(6)limit of the proton-neutron symplectic model

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Chinese Physics C 2021年第11期45卷 101-114页

作者： h.g.ganev Joint Institute for Nuclear Research DubnaRussia

The matrix elements along the reduction chain Sp(12,R)⊃SU(1,1)⊗SO(6)⊃U(1)⊗SUpn(3)⊗SO(2)⊃SO(3)of the proton-neutron symplectic model(PNSM)are *** analytical expressions are obtained for the matrix elements of the basic building blocks of the PNSM and the Sp(12,R)symplectic generators,allowing the computation of matrix elements of other physical operators as *** computational technique developed in the present study generally provides us with the required algebraic tool for performing realistic symplectic-based shell-model calculations of nuclear collective *** two simple examples,we illustrate the application of the theory.

关键词： matrix elements proton-neutron symplectic model SU(1 1)⊗SO(6)limit Sp(12 R)dynamical algebra

On the microscopic shell-model version of the Bohr-Mottelson collective model

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Chinese Physics C 2023年第10期47卷 107-119页

作者： h.g.ganev Joint Institute for Nuclear Research 141980 DubnaRussia Institute of Mechanics Bulgarian Academy of Sciences1113 SofiaBulgaria

The recently proposed microscopic shell-model version of the Bohr-Mottelson(BM) collective model is considered in more detail in the coordinate *** latter possesses a clear and transparent physical meaning,which reveals several features of the new version of the collective model missed in the previous *** relationship to the original BM model is considered,along with the relationships between the different limiting submodels of the microscopic version of the BM model,which closely resemble the relationships of the original Wilets-Jean and rotor *** kinematically correct many-particle wave functions of the microscopic version of the BM model,conserving the experimentally observed integrals of motion,are shown to consist of collective irrotational-flow and intrinsic components-in accordance with the original BM unified *** general BM hamiltonian is obtained as a contraction limit of the microscopic many-particle nuclear hamiltonian,or,alternatively,by restricting the latter to the scalar O(m) irreducible collective space.

关键词： shell-model version of the Bohr-Mottelson model coordinate representation Sp(12,R)dynamical algebra proton-neutron symplectic model