Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-12-28
Phys. Rev. C 85, 034004 (2012)
Physics
Nuclear Physics
Nuclear Theory
Scientific paper
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 $NN$ interaction and use the transformed $NN$ interactions in calculations of $^3$H and $^4$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 $np$ scattering wave functions and study the DET-PET manifestation in the binding energies of $^3$H and $^4$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 $NN$ interaction. DET-PETs are able to modify significantly the $np$ scattering wave functions and hence the off-shell properties of the $NN$ interaction. DET-PETs give rise to significant changes in the binding energies of $^3$H (in the range of approximately 1.5 MeV) and $^4$He (in the range of more than 9 MeV) and are able to modify the correlation patterns of binding energies of these nuclei.
Kulikov V. A.
Maris Pieter
Mazur A. I.
Shirokov Andrey M.
Vary James P.
No associations
LandOfFree
Deuteron-equivalent and phase-equivalent interactions within light nuclei does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Deuteron-equivalent and phase-equivalent interactions within light nuclei, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deuteron-equivalent and phase-equivalent interactions within light nuclei will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-32659