{
  "id": "1112.6150",
  "version": "v2",
  "published": "2011-12-28T17:12:45.000Z",
  "updated": "2012-03-12T11:01:01.000Z",
  "title": "Deuteron-equivalent and phase-equivalent interactions within light nuclei",
  "authors": [
    "A. M. Shirokov",
    "V. A. Kulikov",
    "A. I. Mazur",
    "J. P. Vary",
    "P. Maris"
  ],
  "journal": "Phys. Rev. C 85, 034004 (2012)",
  "doi": "10.1103/PhysRevC.85.034004",
  "categories": [
    "nucl-th",
    "quant-ph"
  ],
  "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 $NN$ 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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-12T11:01:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.10.Dr",
      "03.65.Nk",
      "21.45.Bc",
      "21.30.-x"
    ],
    "keywords": [
      "binding energy",
      "light nuclei",
      "phase-equivalent interactions",
      "deuteron-equivalent",
      "scattering wave functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review C",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": "034004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1083040,
      "adsabs": "2012PhRvC..85c4004S"
    }
  }
}