Ab Initio Study of Resonant and Weakly Bound States of Light Nuclei with Single-Nucleon Halo Based on First Principles

Abstract

The approach adopted for the microscopic ab initio description of clustered systems is developed. For these purposes, the basis combining ordinary shell-model components and translationally invariant cluster- channel terms is constructed. Transformation of clustered wave functions to the uniform shell-model-like type is performed using the concept of cluster coefficients. The resulting basis of orthonormal wave functions is used to calculate the eigenvalues and eigenvectors of Hamiltonians based on quantum chromodynamics. The calculations of the ground and lowest resonance states of ⁵He, ⁹Be, and ⁹B show the functionality and efficiency of this approach.