Deuteron-equivalent and phase-equivalent interactions within light nuclei
Abstract
Background: Phase-equivalent transformations (PETs) are well-known in quantum scattering and inverse scattering theory. PETs do not affect scattering phase shifts and bound state energies of two-body system but are conventionally supposed to modify two-body bound state observables such as the rms radius and electromagnetic moments. Purpose: In order to preserve all bound state observables, we propose a new particular case of PETs, a deuteron-equivalent transformation (DET-PET), which leaves unchanged not only scattering phase shifts and bound state (deuteron) binding energy but also the bound state wave function. Methods: The construction of DET-PET is discussed; equations defining the simplest DET-PETs are derived. We apply these simplest DET-PETs to the JISP16 interaction and use the transformed interactions in calculations of H and He binding energies in the No-core Full Configuration (NCFC) approach based on extrapolations of the No-core Shell Model (NCSM) basis space results to the infinite basis space. Results: We demonstrate the DET-PET modification of the scattering wave functions and study the DET-PET manifestation in the binding energies of H and He nuclei and their correlation (Tjon line). Conclusions: It is shown that some DET-PETs generate modifications of the central component while the others modify the tensor component of the interaction. DET-PETs are able to modify significantly the scattering wave functions and hence the off-shell properties of the interaction. DET-PETs give rise to significant changes in the binding energies of H (in the range of approximately 1.5 MeV) and He (in the range of more than 9 MeV) and are able to modify the correlation patterns of binding energies of these nuclei.
Keywords
Cite
@article{arxiv.1112.6150,
title = {Deuteron-equivalent and phase-equivalent interactions within light nuclei},
author = {A. M. Shirokov and V. A. Kulikov and A. I. Mazur and J. P. Vary and P. Maris},
journal= {arXiv preprint arXiv:1112.6150},
year = {2013}
}