Two-dimensional extrapolation procedure for ab initio study of nuclear size parameters and the properties of halo nucleus 6He

TL;DR

This paper introduces a novel two-dimensional extrapolation method for accurately determining nuclear size parameters of halo nucleus 6He in ab initio calculations, demonstrating high efficiency and agreement with experimental data.

Contribution

The paper presents a new two-dimensional extrapolation procedure for nuclear radii in NCSM calculations, using multiple potentials and a radii relationship as a test, applied to 6He.

Findings

The method yields consistent radii values with small spread.

Results agree well with experimental data.

Halo size of 6He estimated at 0.7 - 0.8 fm.

Abstract

A new two-dimensional procedure for extrapolation of the values of matter, neutron, and proton radii obtained in no-core shell model (NCSM) calculations to infinite size of its basis is proposed. A relationship between the radii is used as an additional test. Together with the JISP16 potential, which is frequently used in NCSM calculations of the radii, the Daejeon16 potential is applied for these purposes for the first time. Halo nucleus 6He is the object of studies. The small spread of radii values, successful testing using relationship between the values of these three radii, and reasonable agreement between the obtained results and experimental data as well as the results of other advanced ab initio calculations demonstrate the high efficiency of the developed approach and, therefore, good prospects for its application. The performed investigations and analysis of the results of other studies indicate that the halo of 6He has a large size 0.7 - 0.8 fm.