Shell Model of Nuclei for Stellar Core Collapse:. Current Status, Future Prospects

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Scientific paper

Electron capture on heavy nuclei plays a dominant role throughout core collapse. In this work, we discuss the nuclear input required to calculate electron capture rates in the supernova environment. This input is, in part, derived from understanding the nature of the Gamow-Teller resonance in medium-mass nuclei. Nuclear correlations affect the total strength, position, and width of the Gamow-Teller resonances. Therefore, an accurate description of electron capture on nuclei requires one to attack the nuclear quantum many-body problem. We outline the difficulties in the framework of the conventional shell-model diagonalization when approaching heavy systems (A >60). Furthermore, we discuss the Auxiliary-field Shell Model Monte Carlo (SMMC) as our choice for reaching the properties of such nuclei of interest and the challenges in this approach. We demonstrate a promising development within the SMMC method that uses a shifted contour of integration to alleviate the Monte Carlo sign problem when performing calculations with realistic Hamiltonians.

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