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Hypernuclear no-core shell model
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DOI：10.1103/PhysRevC.97.064315.png)
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摘要
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We extend the no-core shell model (NCSM) methodology to incorporate strangeness degrees of freedom and apply it to single-Lambda hypernuclei. After discussing the transformation of the hyperon-nucleon (YN) interaction into the harmonic-oscillator (HO) basis and the similarity renormalization group transformation applied to it to improve model-space convergence, we present 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 formulas used to embed two-and three-baryon interactions into the many-body space. For the Slater-determinant formulation, we discuss 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 conclude with a validation 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 hyperhelium isotopes.
Keyword:
EFFECTIVE-FIELD THEORY
HYPERON-NUCLEON INTERACTIONS
GAMMA-RAY SPECTROSCOPY
LAMBDA-HYPERNUCLEI
LIGHT HYPERNUCLEI
OSCILLATOR BRACKETS
FLOW-EQUATIONS
LI-7(LAMBDA)
HAMILTONIANS
TRANSITIONS
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期刊
IF:
3.4
论文数:
2.9W
被引数:
5.7W
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PHYSICAL REVIEW CIF3.4
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