dorsal/arxiv
View SchemaAn effective field theory for coupled-channel scattering
| Authors | Thomas D. Cohen, Boris A. Gelman, U. van Kolck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402054 |
| URL | https://arxiv.org/abs/nucl-th/0402054 |
| DOI | 10.1016/j.physletb.2004.03.020 |
| Journal | Phys.Lett. B588 (2004) 57-66 |
Abstract
The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally small and the cross section at low energy is unnaturally large is considered. It is shown that the lowest-order point coupling associated with the mixing of the channels scales as $\Lambda^{-2}$ rather than $\Lambda^{-1}$ (the scaling of the same-channel coupling and the scaling in a single-channel case) where $\Lambda$ is the ultraviolet cutoff. The renormalization of the theory at lowest order is given explicitly. The treatment of higher orders is straightforward. The potential implications for systems with deep open channels are discussed.
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"abstract": "The problem of describing low-energy two-body scattering for systems with two\nopen channels with different thresholds is addressed in the context of an\neffective field theory. In particular, the problem where the threshold is\nunnaturally small and the cross section at low energy is unnaturally large is\nconsidered. It is shown that the lowest-order point coupling associated with\nthe mixing of the channels scales as $\\Lambda^{-2}$ rather than $\\Lambda^{-1}$\n(the scaling of the same-channel coupling and the scaling in a single-channel\ncase) where $\\Lambda$ is the ultraviolet cutoff. The renormalization of the\ntheory at lowest order is given explicitly. The treatment of higher orders is\nstraightforward. The potential implications for systems with deep open channels\nare discussed.",
"arxiv_id": "nucl-th/0402054",
"authors": [
"Thomas D. Cohen",
"Boris A. Gelman",
"U. van Kolck"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1016/j.physletb.2004.03.020",
"journal_ref": "Phys.Lett. B588 (2004) 57-66",
"title": "An effective field theory for coupled-channel scattering",
"url": "https://arxiv.org/abs/nucl-th/0402054"
},
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