dorsal/arxiv
View SchemaLow-momentum interactions with smooth cutoffs
| Authors | S. K. Bogner, R. J. Furnstahl, S. Ramanan, A. Schwenk |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609003 |
| URL | https://arxiv.org/abs/nucl-th/0609003 |
| DOI | 10.1016/j.nuclphysa.2006.11.123 |
| Journal | Nucl.Phys.A784:79-103,2007 |
Abstract
Nucleon-nucleon potentials evolved to low momentum, which show great promise in few- and many-body calculations, have generally been formulated with a sharp cutoff on relative momenta. However, a sharp cutoff has technical disadvantages and can cause convergence problems at the 10-100 keV level in the deuteron and triton. This motivates using smooth momentum-space regulators as an alternative. We generate low-momentum interactions with smooth cutoffs both through energy-independent renormalization group methods and using a multi-step process based on the Bloch-Horowitz approach. We find greatly improved convergence for calculations of the deuteron and triton binding energies in a harmonic oscillator basis compared to results with a sharp cutoff. Even a slight evolution of chiral effective field theory interactions to lower momenta is beneficial. The renormalization group preserves the long-range part of the interaction, and consequently the renormalization of long-range operators, such as the quadrupole moment, the radius and 1/r, is small. This demonstrates that low-energy observables in the deuteron are reproduced without short-range correlations in the wave function.
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"abstract": "Nucleon-nucleon potentials evolved to low momentum, which show great promise\nin few- and many-body calculations, have generally been formulated with a sharp\ncutoff on relative momenta. However, a sharp cutoff has technical disadvantages\nand can cause convergence problems at the 10-100 keV level in the deuteron and\ntriton. This motivates using smooth momentum-space regulators as an\nalternative. We generate low-momentum interactions with smooth cutoffs both\nthrough energy-independent renormalization group methods and using a multi-step\nprocess based on the Bloch-Horowitz approach. We find greatly improved\nconvergence for calculations of the deuteron and triton binding energies in a\nharmonic oscillator basis compared to results with a sharp cutoff. Even a\nslight evolution of chiral effective field theory interactions to lower momenta\nis beneficial. The renormalization group preserves the long-range part of the\ninteraction, and consequently the renormalization of long-range operators, such\nas the quadrupole moment, the radius and 1/r, is small. This demonstrates that\nlow-energy observables in the deuteron are reproduced without short-range\ncorrelations in the wave function.",
"arxiv_id": "nucl-th/0609003",
"authors": [
"S. K. Bogner",
"R. J. Furnstahl",
"S. Ramanan",
"A. Schwenk"
],
"categories": [
"nucl-th",
"cond-mat.str-el",
"hep-ph"
],
"doi": "10.1016/j.nuclphysa.2006.11.123",
"journal_ref": "Nucl.Phys.A784:79-103,2007",
"title": "Low-momentum interactions with smooth cutoffs",
"url": "https://arxiv.org/abs/nucl-th/0609003"
},
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