Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics

Abstract

Assuming that the time-evolution of the self-consistent mean field is determined by five pairs of collective coordinate and collective momentum, we microscopically derive the collective Hamiltonian for low-frequency quadrupole modes of excitation. We show that the five-dimensional collective Schrödinger equation is capable of describing large-amplitude quadrupole shape dynamics seen as shape coexistence/mixing phenomena. We focus on basic ideas and recent advances of the approaches based on the time-dependent mean-field theory, but relations to other time-independent approaches are also briefly discussed.

24 pages, 4 figures. Contribution to the Focus Issue of Journal of Physics G on "Shape Coexistence in Atomic Nuclei" edited by John Wood and Kris Heyde

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Cited by in corpus (9)

• Time-dependent density-functional description of nuclear dynamics
• The quest of shape coexistence in Zr isotopes
• Shape coexistence in even-even nuclei: A theoretical overview
• Challenges in Nuclear Structure Theory
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Self-consistent collective coordinate for reaction path and inertial mass
• Adiabatic self-consistent collective path in nuclear fusion reactions
• Nuclear shape coexistence from the perspective of an algebraic many-nucleon version of the Bohr-Mottelson unified model
• Bohr-Mottelson Hamiltonian with octic potential applied to the ${}^{106-116}$Cd isotopes