dorsal/arxiv
View SchemaThe One-Body and Two-Body Density Matrices of Finite Nuclei and Center-of-Mass Correlations
| Authors | A. Shebeko, P. Papakonstantinou, E. Mavrommatis |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512054 |
| URL | https://arxiv.org/abs/nucl-th/0512054 |
| DOI | 10.1063/1.2200903 |
| Journal | AIP Conf. Proc. 831 (2006) 75 |
Abstract
A method is presented for the calculation of the one-body and two-body density matrices and their Fourier transforms in momentum space, that is consistent with the requirement for translational invariance, in the case of a nucleus (a finite self-bound system). We restore translational invariance by using the so-called fixed center-of-mass approximation for constructing an intrinsic nuclear ground state wavefunction by starting from a non-translationally invariant wavefunction and applying a projection prescription. We discuss results for the one-body and two-body momentum distributions of the 4He nucleus calculated with the Slater determinant of the harmonic oscillator orbitals, as the initial non-translationally invariant wavefunction. Effects of such an inclusion of CM correlations are found to be quite important in the momentum distributions.
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"abstract": "A method is presented for the calculation of the one-body and two-body\ndensity matrices and their Fourier transforms in momentum space, that is\nconsistent with the requirement for translational invariance, in the case of a\nnucleus (a finite self-bound system). We restore translational invariance by\nusing the so-called fixed center-of-mass approximation for constructing an\nintrinsic nuclear ground state wavefunction by starting from a\nnon-translationally invariant wavefunction and applying a projection\nprescription. We discuss results for the one-body and two-body momentum\ndistributions of the 4He nucleus calculated with the Slater determinant of the\nharmonic oscillator orbitals, as the initial non-translationally invariant\nwavefunction. Effects of such an inclusion of CM correlations are found to be\nquite important in the momentum distributions.",
"arxiv_id": "nucl-th/0512054",
"authors": [
"A. Shebeko",
"P. Papakonstantinou",
"E. Mavrommatis"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.2200903",
"journal_ref": "AIP Conf. Proc. 831 (2006) 75",
"title": "The One-Body and Two-Body Density Matrices of Finite Nuclei and Center-of-Mass Correlations",
"url": "https://arxiv.org/abs/nucl-th/0512054"
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