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Title: Hypernuclear no-core shell model

Abstract

We extend the No-Core Shell Model (NCSM) methodology to incorporate strangeness degrees of freedom and apply it to single-Λ hypernuclei. After discussing the transformation of the hyperon-nucleon (YN) interaction into Harmonic-Oscillator (HO) basis and the Similarity Renormalization Group transformation applied to it to improve model-space convergence, we introduce two complementary formulations of the NCSM, one that uses relative Jacobi coordinates and symmetry-adapted basis states to fully exploit the symmetries of the hypernuclear Hamiltonian, and one working in a Slater determinant basis of HO states where antisymmetrization and computation of matrix elements is simple and to which an importance-truncation scheme can be applied. For the Jacobi-coordinate formulation, we give an iterative procedure for the construction of the antisymmetric basis for arbitrary particle number and present the formulae used to embed two- and three-baryon interactions into the many-body space. For the Slater-determinant formulation, we report on the conversion of the YN interaction matrix elements from relative to single-particle coordinates, the importance-truncation scheme that tailors the model space to the description of the low-lying spectrum, and the role of the redundant center-of-mass degrees of freedom. We end with a confirmation of both formulations in the four-body system, giving converged ground-state energies for amore » chiral Hamiltonian, and present a short survey of the A ≤ 7 hyper-helium isotopes.« less

Authors:
 [1];  [2];  [3];  [1]
  1. Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
  2. Chalmers Univ. of Technology, Göteborg (Sweden); Nuclear Physics Inst. (Czech Republic)
  3. TRIUMF, Vancouver, BC (Canada)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1544265
Grant/Contract Number:  
P203/15/04301S; SFB 1245; 05P15RDFN1
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 6; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Wirth, Roland, Gazda, Daniel, Navrátil, Petr, and Roth, Robert. Hypernuclear no-core shell model. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.064315.
Wirth, Roland, Gazda, Daniel, Navrátil, Petr, & Roth, Robert. Hypernuclear no-core shell model. United States. https://doi.org/10.1103/PhysRevC.97.064315
Wirth, Roland, Gazda, Daniel, Navrátil, Petr, and Roth, Robert. Thu . "Hypernuclear no-core shell model". United States. https://doi.org/10.1103/PhysRevC.97.064315. https://www.osti.gov/servlets/purl/1544265.
@article{osti_1544265,
title = {Hypernuclear no-core shell model},
author = {Wirth, Roland and Gazda, Daniel and Navrátil, Petr and Roth, Robert},
abstractNote = {We extend the No-Core Shell Model (NCSM) methodology to incorporate strangeness degrees of freedom and apply it to single-Λ hypernuclei. After discussing the transformation of the hyperon-nucleon (YN) interaction into Harmonic-Oscillator (HO) basis and the Similarity Renormalization Group transformation applied to it to improve model-space convergence, we introduce two complementary formulations of the NCSM, one that uses relative Jacobi coordinates and symmetry-adapted basis states to fully exploit the symmetries of the hypernuclear Hamiltonian, and one working in a Slater determinant basis of HO states where antisymmetrization and computation of matrix elements is simple and to which an importance-truncation scheme can be applied. For the Jacobi-coordinate formulation, we give an iterative procedure for the construction of the antisymmetric basis for arbitrary particle number and present the formulae used to embed two- and three-baryon interactions into the many-body space. For the Slater-determinant formulation, we report on the conversion of the YN interaction matrix elements from relative to single-particle coordinates, the importance-truncation scheme that tailors the model space to the description of the low-lying spectrum, and the role of the redundant center-of-mass degrees of freedom. We end with a confirmation of both formulations in the four-body system, giving converged ground-state energies for a chiral Hamiltonian, and present a short survey of the A ≤ 7 hyper-helium isotopes.},
doi = {10.1103/PhysRevC.97.064315},
journal = {Physical Review C},
number = 6,
volume = 97,
place = {United States},
year = {Thu Jun 21 00:00:00 EDT 2018},
month = {Thu Jun 21 00:00:00 EDT 2018}
}

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Works referencing / citing this record:

Charge-symmetry breaking in light hypernuclei based on chiral and similarity renormalization group-evolved interactions
conference, January 2019

  • Nogga, Andreas
  • CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST), AIP Conference Proceedings
  • DOI: 10.1063/1.5118394

p -shell hypernuclear energy spectra using the Gogny-interaction shell model
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