https://doi.org/10.1051/epjconf/201922301040
Alpha correlations in terms of the hyper-Pfaffian
1
Institute of Natural Sciences, Senshu University,
Tokyo
101-8425,
Japan
2
Institut de Physique Nucléaire, IN2P3-CNRS, UniversitéParis-Sud,
91406
Orsay,
France
3
Univ. Grenoble Alpes, CNRS, LPMMC,
38000
Grenoble,
France
* e-mail: mizusaki@isc.senshu-u.ac.jp
Published online: 4 December 2019
We find that the overlap between alpha-like four-body condensation wave function and m-scheme basis state can be represented by the hyper-Pfaffian, which is a natural extension of the Pfaffian for thepair-condensation wave function. This overlap is useful for nuclear structure calculations with the variational Monte Carlo method. As the hyper-Pfaffian has, however, only a few mathematical relations, it is quite difficult to use for numerical computations. We also find that a specific case of hyper-Pfaffian can be expressed by the sum of standard Pfaffians.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
