Large-basis no-core shell model

B. R. Barrett; P. Navratil; J. P. Vary

doi:10.1016/S0375-9474(02)00785-6

Large-basis no-core shell model

B. R. Barrett, P. Navratil, J. P. Vary

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of ¹²C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

Original language	English (US)
Pages (from-to)	254-263
Number of pages	10
Journal	Nuclear Physics A
Volume	704
Issue number	1-4
DOIs	https://doi.org/10.1016/S0375-9474(02)00785-6
State	Published - Jun 17 2002
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0375-9474(02)00785-6

Cite this

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title = "Large-basis no-core shell model",

abstract = "We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.",

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T1 - Large-basis no-core shell model

AU - Barrett, B. R.

AU - Navratil, P.

AU - Vary, J. P.

PY - 2002/6/17

Y1 - 2002/6/17

N2 - We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

AB - We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

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VL - 704

SP - 254

EP - 263

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1-4

ER -

Large-basis no-core shell model

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