dorsal/arxiv
View SchemaShort-range interactions in an effective field theory approach for nucleon-nucleon scattering
| Authors | K. A. Scaldeferri, D. R. Phillips, C. -W. Kao, T. D. Cohen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610049 |
| URL | https://arxiv.org/abs/nucl-th/9610049 |
| DOI | 10.1103/PhysRevC.56.679 |
| Journal | Phys.Rev.C56:679-688,1997 |
Abstract
We investigate in detail the effect of making the range of the ``contact'' interaction used in effective field theory (EFT) calculations of NN scattering finite. This is done in both an effective field theory with explicit pions, and one where the pions have been integrated out. In both cases we calculate NN scattering in the ${}^1 S_0$ channel using potentials which are second-order in the EFT expansion. The contact interactions present in the EFT Lagrangian are made finite by use of a square-well regulator. We find that there is an optimal radius for this regulator, at which second-order corrections to the EFT are identically zero; for radii near optimal these second-order corrections are small. The cutoff EFTs which result from this procedure appear to be valid for momenta up to about 100 MeV/c. We also find that the radius of the square well cannot be reduced to zero if the theory is to reproduce both the experimental scattering length and effective range. Indeed, we show that, if the NN potential is the sum of a one-pion exchange piece and a short-range interaction, then the short-range piece must extend out beyond 1.1 fm, regardless of its particular form.
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"abstract": "We investigate in detail the effect of making the range of the ``contact\u0027\u0027\ninteraction used in effective field theory (EFT) calculations of NN scattering\nfinite. This is done in both an effective field theory with explicit pions, and\none where the pions have been integrated out. In both cases we calculate NN\nscattering in the ${}^1 S_0$ channel using potentials which are second-order in\nthe EFT expansion. The contact interactions present in the EFT Lagrangian are\nmade finite by use of a square-well regulator. We find that there is an optimal\nradius for this regulator, at which second-order corrections to the EFT are\nidentically zero; for radii near optimal these second-order corrections are\nsmall. The cutoff EFTs which result from this procedure appear to be valid for\nmomenta up to about 100 MeV/c. We also find that the radius of the square well\ncannot be reduced to zero if the theory is to reproduce both the experimental\nscattering length and effective range. Indeed, we show that, if the NN\npotential is the sum of a one-pion exchange piece and a short-range\ninteraction, then the short-range piece must extend out beyond 1.1 fm,\nregardless of its particular form.",
"arxiv_id": "nucl-th/9610049",
"authors": [
"K. A. Scaldeferri",
"D. R. Phillips",
"C. -W. Kao",
"T. D. Cohen"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.56.679",
"journal_ref": "Phys.Rev.C56:679-688,1997",
"title": "Short-range interactions in an effective field theory approach for nucleon-nucleon scattering",
"url": "https://arxiv.org/abs/nucl-th/9610049"
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