Hypernuclear no-core shell model

Wirth, Roland; Gazda, Daniel; Navrátil, Petr; Roth, Robert

doi:10.1103/PhysRevC.97.064315

Title: Hypernuclear no-core shell model

Journal Article · Thu Jun 21 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.064315· OSTI ID:1544265

Wirth, Roland ^[1]; Gazda, Daniel ^[2]; Navrátil, Petr ^[3]; Roth, Robert ^[1]

Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
Chalmers Univ. of Technology, Göteborg (Sweden); Nuclear Physics Inst. (Czech Republic)
TRIUMF, Vancouver, BC (Canada)

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: P203/15/04301S; SFB 1245; 05P15RDFN1

OSTI ID:: 1544265

Journal Information:: Physical Review C, Vol. 97, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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