15
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Ab-initio No-Core Gamow Shell Model calculations with realistic interactions

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          No-Core Gamow Shell Model (NCGSM) is applied for the first time to study selected well-bound and unbound states of helium isotopes. This model is formulated on the complex energy plane and, by using a complete Berggren ensemble, treats bound, resonant, and scattering states on equal footing. We use the Density Matrix Renormalization Group method to solve the many-body Schr\"{o}dinger equation. To test the validity of our approach, we benchmarked the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for \(^3\)H and \(^4\)He nuclei. We also performed {\textit ab initio} NCGSM calculations for the unstable nucleus \(^5\)He and determined the ground state energy and decay width, starting from a realistic N\(^3\)LO chiral interaction.

          Related collections

          Most cited references28

          • Record: found
          • Abstract: not found
          • Article: not found

          R-Matrix Theory of Nuclear Reactions

            Bookmark
            • Record: found
            • Abstract: found
            • Article: found
            Is Open Access

            An accurate nucleon-nucleon potential with charge-independence breaking

            We present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which we designate Argonne \(v_{18}\). The model has a charge-independent part with fourteen operator components that is an updated version of the Argonne \(v_{14}\) potential. Three additional charge-dependent and one charge-asymmetric operators are added, along with a complete electromagnetic interaction. The potential has been fit directly to the Nijmegen \(pp\) and \(np\) scattering data base, low-energy \(nn\) scattering parameters, and deuteron binding energy. With 40 adjustable parameters it gives a \(\chi^{2}\) per datum of 1.09 for 4301 \(pp\) and \(np\) data in the range 0--350 MeV.
              Bookmark
              • Record: found
              • Abstract: found
              • Article: found
              Is Open Access

              The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)

              We present a charge-dependent nucleon-nucleon (NN) potential that fits the world proton-proton data below 350 MeV available in the year of 2000 with a chi^2 per datum of 1.01 for 2932 data and the corresponding neutron-proton data with chi^2/datum = 1.02 for 3058 data. This reproduction of the NN data is more accurate than by any phase-shift analysis and any other NN potential. The charge-dependence of the present potential (that has been dubbed `CD-Bonn') is based upon the predictions by the Bonn Full Model for charge-symmetry and charge-independence breaking in all partial waves with J <= 4. The potential is represented in terms of the covariant Feynman amplitudes for one-boson exchange which are nonlocal. Therefore, the off-shell behavior of the CD-Bonn potential differs in a characteristic and well-founded way from commonly used local potentials and leads to larger binding energies in nuclear few- and many-body systems, where underbinding is a persistent problem.
                Bookmark

                Author and article information

                Journal
                29 January 2013
                2013-09-26
                Article
                10.1103/PhysRevC.88.044318
                1301.7140
                64a67bfe-4fe4-4c50-8e2c-3b704569fe2f

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                17 pages, 14 figures. Revised version. Discussion on microscopic overlap functions, SFs and ANCs is added. Added references. Accepted for publication at PRC
                nucl-th

                Comments

                Comment on this article