Ab initio large-basis No-Core Shell Model and its application to light nuclei

Bruce R. Barrett; Petr Navrátil; W. E. Ormand; James P. Vary

Ab initio large-basis No-Core Shell Model and its application to light nuclei

Bruce R. Barrett, Petr Navrátil, W. E. Ormand, James P. Vary

Physics

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

We discuss the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials, such as the CD-Bonn and the Argonne AV18 NN potentials, as a function of the finite Harmonic Oscillator (HO) basis space. We present converged results, i.e., up to 50ℏΩ and 18ℏΩ HO excitations, respectively, for the A = 3 and 4 nucleon systems. Our results for these light systems are in agreement with results obtained by other exact methods. We also calculate properties of ⁶Li and ⁶He in model spaces up to 10ℏΩ and of ¹²C up to 6ℏΩ. 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)	297-311
Number of pages	15
Journal	Acta Physica Polonica B
Volume	33
Issue number	1
State	Published - Jan 2002
Event	XXVII Mazurian Lakes School of Physics Growth Points of Nuclear Physics A.D. 2001 - Krzyze, Poland Duration: Sep 2 2001 → Sep 9 2001

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

@article{ffd9776a82294ef0b8553aa2f78a93d2,

title = "Ab initio large-basis No-Core Shell Model and its application to light nuclei",

abstract = "We discuss the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials, such as the CD-Bonn and the Argonne AV18 NN potentials, as a function of the finite Harmonic Oscillator (HO) basis space. We present converged results, i.e., up to 50ℏΩ and 18ℏΩ HO excitations, respectively, for the A = 3 and 4 nucleon systems. Our results for these light systems are in agreement with results obtained by other exact methods. We also calculate properties of 6Li and 6He in model spaces up to 10ℏΩ and of 12C up to 6ℏΩ. 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.",

author = "Barrett, {Bruce R.} and Petr Navr{\'a}til and Ormand, {W. E.} and Vary, {James P.}",

year = "2002",

month = jan,

language = "English (US)",

volume = "33",

pages = "297--311",

journal = "Acta Physica Polonica, Series B.",

issn = "0587-4254",

publisher = "Jagellonian University",

number = "1",

note = "XXVII Mazurian Lakes School of Physics Growth Points of Nuclear Physics A.D. 2001 ; Conference date: 02-09-2001 Through 09-09-2001",

}

TY - JOUR

T1 - Ab initio large-basis No-Core Shell Model and its application to light nuclei

AU - Barrett, Bruce R.

AU - Navrátil, Petr

AU - Ormand, W. E.

AU - Vary, James P.

PY - 2002/1

Y1 - 2002/1

N2 - We discuss the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials, such as the CD-Bonn and the Argonne AV18 NN potentials, as a function of the finite Harmonic Oscillator (HO) basis space. We present converged results, i.e., up to 50ℏΩ and 18ℏΩ HO excitations, respectively, for the A = 3 and 4 nucleon systems. Our results for these light systems are in agreement with results obtained by other exact methods. We also calculate properties of 6Li and 6He in model spaces up to 10ℏΩ and of 12C up to 6ℏΩ. 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 the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials, such as the CD-Bonn and the Argonne AV18 NN potentials, as a function of the finite Harmonic Oscillator (HO) basis space. We present converged results, i.e., up to 50ℏΩ and 18ℏΩ HO excitations, respectively, for the A = 3 and 4 nucleon systems. Our results for these light systems are in agreement with results obtained by other exact methods. We also calculate properties of 6Li and 6He in model spaces up to 10ℏΩ and of 12C up to 6ℏΩ. 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.

UR - http://www.scopus.com/inward/record.url?scp=31244435166&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31244435166&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:31244435166

VL - 33

SP - 297

EP - 311

JO - Acta Physica Polonica, Series B.

JF - Acta Physica Polonica, Series B.

SN - 0587-4254

IS - 1

T2 - XXVII Mazurian Lakes School of Physics Growth Points of Nuclear Physics A.D. 2001

Y2 - 2 September 2001 through 9 September 2001

ER -

Ab initio large-basis No-Core Shell Model and its application to light nuclei

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this