Abstract
In this contribution, we shall describe a formalism that goes beyond the simple time-dependent mean field and is based on particle-vibration coupling (PVC). Such a formalism has been developed with the idea of being self-consistent. It makes use of Skyrme effective forces, and has been used for several applications. We will focus on charge-exchange transitions, namely we will show that our model describes well both the Gamow-Teller giant resonance width, and the low-lying transitions associated with β -decay. In this latter case, including PVC produces a significant improvement of the half-lives obtained at mean-field level, and leads to a good agreement with experimental data. We will end by discussing particle-phonon multiplets in odd nuclei.
Highlights
While there is a tremendous progress in developing ab initio methods in nuclear structure theory, they are still not applicable to heavy nuclei and/or highly excited states; Density Functional Theory (DFT) has a much wider range of applicability and has a fundamental character, being based on the rigorous Kohn-Hohenberg theorem, at least in the static case [1]
We shall describe a formalism that goes beyond the simple time-dependent mean field and is based on particle-vibration coupling (PVC)
We will focus on charge-exchange transitions, namely we will show that our model describes well both the Gamow-Teller giant resonance width, and the low-lying transitions associated with β-decay
Summary
While there is a tremendous progress in developing ab initio methods in nuclear structure theory, they are still not applicable to heavy nuclei and/or highly excited states; Density Functional Theory (DFT) has a much wider range of applicability and has a fundamental character, being based on the rigorous Kohn-Hohenberg theorem, at least in the static case [1]. On top of the motion in a static, possibly non-local in space, mean-field, PVC takes into account the coupling with the mean-field fluctuations [2]. In this contribution, we wish to describe some of the recent calculations performed in our group along this line. On top of RPA, we include PVC along the same line of the model that has been originally introduced in [3] Such model has been revived and significantly extended in Refs.
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