dorsal/arxiv
View SchemaRenormalization of NN-Scattering with One Pion Exchange and Boundary Conditions
| Authors | M. Pavon Valderrama, E. Ruiz Arriola |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405057 |
| URL | https://arxiv.org/abs/nucl-th/0405057 |
| DOI | 10.1103/PhysRevC.70.044006 |
| Journal | Phys.Rev.C70:044006,2004 |
Abstract
A non perturbative renormalization scheme for Nucleon-Nucleon interaction based on boundary conditions at short distances is presented and applied to the One Pion Exchange Potential. It is free of off-shell ambiguities and ultraviolet divergences, provides finite results at any step of the calculation and allows to remove the short distance cut-off in a suitable way. Low energy constants and their non-perturbative evolution can directly be obtained from experimental threshold parameters in a completely unique and model independent way when the long range explicit pion effects are eliminated. This allows to compute scattering phase shifts which are, by construction consistent with the effective range expansion to a given order in the C.M. momentum $p$. In the singlet $^1S_0$ and triplet $^3S_1- ^3D_1$ channels ultraviolet fixed points and limit cycles are obtained respectively for the threshold parameters. Data are described satisfactorily up to CM momenta of about $p \sim m_\pi$.
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"abstract": "A non perturbative renormalization scheme for Nucleon-Nucleon interaction\nbased on boundary conditions at short distances is presented and applied to the\nOne Pion Exchange Potential. It is free of off-shell ambiguities and\nultraviolet divergences, provides finite results at any step of the calculation\nand allows to remove the short distance cut-off in a suitable way. Low energy\nconstants and their non-perturbative evolution can directly be obtained from\nexperimental threshold parameters in a completely unique and model independent\nway when the long range explicit pion effects are eliminated. This allows to\ncompute scattering phase shifts which are, by construction consistent with the\neffective range expansion to a given order in the C.M. momentum $p$. In the\nsinglet $^1S_0$ and triplet $^3S_1- ^3D_1$ channels ultraviolet fixed points\nand limit cycles are obtained respectively for the threshold parameters. Data\nare described satisfactorily up to CM momenta of about $p \\sim m_\\pi$.",
"arxiv_id": "nucl-th/0405057",
"authors": [
"M. Pavon Valderrama",
"E. Ruiz Arriola"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.044006",
"journal_ref": "Phys.Rev.C70:044006,2004",
"title": "Renormalization of NN-Scattering with One Pion Exchange and Boundary Conditions",
"url": "https://arxiv.org/abs/nucl-th/0405057"
},
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