Nuclear collective vibration provides deep insight in understanding the origin of heavy elements in the universe as well as the nuclear equation of state (EoS). According to the change of third component of isospin, the nuclear collective vibrations can be divided into charge-exchange and non-charge-exchange modes. The typical charge-exchange excitations include Gamow-Teller transitions, which determines the beta-decay half-lives as an important input for the nucleosynthesis study; while one of the typical non-charge-exchange excitations is the giant monopole resonance (GMR), which provides direct constraints on nuclear incompressibility.
The quasiparticle random phase approximation model is the most commonly used microscopic model to study the collective vibration of atomic nuclei. However, due to the lack of higher-order many-body correlations beyond the mean field, the resonance width cannot be given, and serious problems are encountered when describing beta-decay lifetime and GMR energies. In this talk, I will introduce how to solve the above problems by developing a quasiparticle random phase approximation + quasiparticle vibration coupling model which considers higher-order many-body correlations.
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