dorsal/arxiv
View SchemaRenormalization of the one-pion-exchange interaction
| Authors | T. Frederico, V. S. Timoteo, Lauro Tomio |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902052 |
| URL | https://arxiv.org/abs/nucl-th/9902052 |
| DOI | 10.1016/S0375-9474(99)00234-1 |
| Journal | Nucl.Phys. A653 (1999) 209-221 |
Abstract
A renormalization scheme for the nucleon-nucleon (NN) interaction based on a subtracted T-matrix equation is proposed and applied to the one-pion-exchange potential supplemented by contact interactions. The singlet and triplet scattering lengths are given to fix the renormalized strengths of the contact interactions. With only one scaling parameter ($\mu$), the results show an overall very good agreement with neutron-proton data, particularly for the observables related to the triplet channel. The agreement is qualitative in the $^1S_0$ channel. Between the low-energy NN observables we have examined, the mixing parameter of the $^3S_1-^3D_1$ states is the most sensible to the scale. The scheme is renormalization group invariant for $\mu\to\infty$.
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"abstract": "A renormalization scheme for the nucleon-nucleon (NN) interaction based on a\nsubtracted T-matrix equation is proposed and applied to the one-pion-exchange\npotential supplemented by contact interactions. The singlet and triplet\nscattering lengths are given to fix the renormalized strengths of the contact\ninteractions. With only one scaling parameter ($\\mu$), the results show an\noverall very good agreement with neutron-proton data, particularly for the\nobservables related to the triplet channel. The agreement is qualitative in the\n$^1S_0$ channel. Between the low-energy NN observables we have examined, the\nmixing parameter of the $^3S_1-^3D_1$ states is the most sensible to the scale.\nThe scheme is renormalization group invariant for $\\mu\\to\\infty$.",
"arxiv_id": "nucl-th/9902052",
"authors": [
"T. Frederico",
"V. S. Timoteo",
"Lauro Tomio"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00234-1",
"journal_ref": "Nucl.Phys. A653 (1999) 209-221",
"title": "Renormalization of the one-pion-exchange interaction",
"url": "https://arxiv.org/abs/nucl-th/9902052"
},
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