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 »
- Authors:
-
- Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
- Chalmers Univ. of Technology, Göteborg (Sweden); Nuclear Physics Inst. (Czech Republic)
- 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}
}
Web of Science
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