dorsal/arxiv
View SchemaMatrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
| Authors | R. Roth, H. Hergert, P. Papakonstantinou, T. Neff, H. Feldmeier |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505080 |
| URL | https://arxiv.org/abs/nucl-th/0505080 |
| DOI | 10.1103/PhysRevC.72.034002 |
| Journal | Phys.Rev. C72 (2005) 034002 |
Abstract
We employ the Unitary Correlation Operator Method (UCOM) to construct correlated, low-momentum matrix elements of realistic nucleon-nucleon interactions. The dominant short-range central and tensor correlations induced by the interaction are included explicitly by an unitary transformation. Using correlated momentum-space matrix elements of the Argonne V18 potential, we show that the unitary transformation eliminates the strong off-diagonal contributions caused by the short-range repulsion and the tensor interaction, and leaves a correlated interaction dominated by low-momentum contributions. We use correlated harmonic oscillator matrix elements as input for no-core shell model calculations for few-nucleon systems. Compared to the bare interaction, the convergence properties are dramatically improved. The bulk of the binding energy can already be obtained in very small model spaces or even with a single Slater determinant. Residual long-range correlations, not treated explicitly by the unitary transformation, can easily be described in model spaces of moderate size allowing for fast convergence. By varying the range of the tensor correlator we are able to map out the Tjon line and can in turn constrain the optimal correlator ranges.
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"abstract": "We employ the Unitary Correlation Operator Method (UCOM) to construct\ncorrelated, low-momentum matrix elements of realistic nucleon-nucleon\ninteractions. The dominant short-range central and tensor correlations induced\nby the interaction are included explicitly by an unitary transformation. Using\ncorrelated momentum-space matrix elements of the Argonne V18 potential, we show\nthat the unitary transformation eliminates the strong off-diagonal\ncontributions caused by the short-range repulsion and the tensor interaction,\nand leaves a correlated interaction dominated by low-momentum contributions. We\nuse correlated harmonic oscillator matrix elements as input for no-core shell\nmodel calculations for few-nucleon systems. Compared to the bare interaction,\nthe convergence properties are dramatically improved. The bulk of the binding\nenergy can already be obtained in very small model spaces or even with a single\nSlater determinant. Residual long-range correlations, not treated explicitly by\nthe unitary transformation, can easily be described in model spaces of moderate\nsize allowing for fast convergence. By varying the range of the tensor\ncorrelator we are able to map out the Tjon line and can in turn constrain the\noptimal correlator ranges.",
"arxiv_id": "nucl-th/0505080",
"authors": [
"R. Roth",
"H. Hergert",
"P. Papakonstantinou",
"T. Neff",
"H. Feldmeier"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.034002",
"journal_ref": "Phys.Rev. C72 (2005) 034002",
"title": "Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method",
"url": "https://arxiv.org/abs/nucl-th/0505080"
},
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