dorsal/arxiv
View SchemaRenormalization of $NN$ scattering: contact potential
| Authors | J. -F. Yang, Jian-Hua Huang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409023 |
| URL | https://arxiv.org/abs/nucl-th/0409023 |
| DOI | 10.1103/PhysRevC.71.034001 10.1103/PhysRevC.71.069901 |
| Journal | Phys.Rev.C71:034001,2005; Erratum-ibid.C71:069901,2005 |
Abstract
The renormalization of the $T$-matrix for $NN$ scattering with a contact potential is reexamined in a nonperturbative regime through rigorous nonperturbative solutions. Based on the underlying theory point of view, it is shown that the UV divergences in the nonperturbative solutions of the $T$-matrix should be subtracted through 'endogenous' counter terms, which in turn leads to a nontrivial prescription dependence. Moreover, employing the effective range expansion, the important procedure for imposing physical boundary conditions to remove the nontrivial prescription dependence is discussed and highlighted, especially before making physical claims. As byproducts, some relations between the effective range expansion parameters are derived. We also discussed the power counting of the couplings for the nucleon-nucleon interactions and other subtle points present within EFT framework beyond perturbative treatment.
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"abstract": "The renormalization of the $T$-matrix for $NN$ scattering with a contact\npotential is reexamined in a nonperturbative regime through rigorous\nnonperturbative solutions. Based on the underlying theory point of view, it is\nshown that the UV divergences in the nonperturbative solutions of the\n$T$-matrix should be subtracted through \u0027endogenous\u0027 counter terms, which in\nturn leads to a nontrivial prescription dependence. Moreover, employing the\neffective range expansion, the important procedure for imposing physical\nboundary conditions to remove the nontrivial prescription dependence is\ndiscussed and highlighted, especially before making physical claims. As\nbyproducts, some relations between the effective range expansion parameters are\nderived. We also discussed the power counting of the couplings for the\nnucleon-nucleon interactions and other subtle points present within EFT\nframework beyond perturbative treatment.",
"arxiv_id": "nucl-th/0409023",
"authors": [
"J. -F. Yang",
"Jian-Hua Huang"
],
"categories": [
"nucl-th",
"hep-ph",
"physics.atom-ph",
"quant-ph"
],
"doi": "10.1103/PhysRevC.71.034001 10.1103/PhysRevC.71.069901",
"journal_ref": "Phys.Rev.C71:034001,2005; Erratum-ibid.C71:069901,2005",
"title": "Renormalization of $NN$ scattering: contact potential",
"url": "https://arxiv.org/abs/nucl-th/0409023"
},
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