[Submitted on 5 Aug 2019]
The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
Changfeng Jiao🇺🇸 · Calvin W. Johnson🇺🇸
Good many-body methods for medium and heavy nuclei are important. Here we combine ideas from standard generator-coordinate methods (GCM) and the so-called Monte Carlo shell model, and set forth a novel approach: starting from a mean-field solution (Hartree-Fock-Bogoliubov), we create a set of non-orthogonal basis states, by using low-lying vibrational quasiparticleTamm-Dancoff modes, and then project onto states of good angular momentum and particle number. The results we benchmark against full shell model calculations. Even with just a few such modes we find improvement over standard GCM calculations in excitation spectra. We also find significant improvement in nuclear matrix elements.
- Comments:
- 6 pages, 1 figure; updated to changes from refereeing and editing for published version, including minor retitling
- Subjects:
- Nuclear Theory (nucl-th)
- arXiv:
- 1908.01873 [pdf]