Direct ab initio calculation of the $^{4}$He nuclear electric dipole polarizability
Abstract
The calculation of nuclear electromagnetic sum rules by directly diagonalizing the nuclear Hamiltonian in a large basis is numerically challenging and has not been performed for nuclei. With the significant progress of high performance computing, we show that calculating sum rules using numerous discretized continuum states obtained by directly diagonalizing the ab initio no-core shell model Hamiltonian is achievable numerically. Specifically, we calculate the He electric dipole () polarizability, that is an inverse energy weighted sum rule, employing the Daejeon16 interaction. We demonstrate that the calculations are numerically tractable as the dimension of the basis increases and are convergent. Our results for the He electric dipole polarizability are consistent with the most recent experimental data and are compared with those of other theoretical studies employing different techniques and various interactions.
Keywords
Cite
@article{arxiv.2405.09799,
title = {Direct ab initio calculation of the $^{4}$He nuclear electric dipole polarizability},
author = {Peng Yin and Andrey M. Shirokov and Pieter Maris and Patrick J. Fasano and Mark A. Caprio and He Li and Wei Zuo and James P. Vary},
journal= {arXiv preprint arXiv:2405.09799},
year = {2024}
}