dorsal/arxiv
View SchemaElectromagnetic Corrections to Pi Pi Scattering: Some Lessons for the Implementation of Meson Exchange Models
| Authors | K. Maltman, C. E. Wolfe |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610051 |
| URL | https://arxiv.org/abs/nucl-th/9610051 |
| DOI | 10.1016/S0370-2693(96)01617-6 |
| Journal | Phys.Lett.B393:19-25,1997; Erratum-ibid.B424:413,1998 |
Abstract
The leading non-Coulombic electromagnetic contributions to pi pi s-wave scattering lengths are computed in Chiral Perturbation Theory. It is shown that these corrections are zeroth order in the chiral expansion and associated with electromagnetic contact terms in the effective Lagrangian, i.e. that they do not involve explicit photon fields in the low-energy effective theory. It is pointed out that, if one followed the standard meson-exchange-model ansatz for removing electromagnetic effects, i.e. of subtracting contributions associated with explicit photon exchange and radiative corrections, as determined by the photon coupling vertices of the effective hadronic theory, one would completely miss these contributions and arrive at the erroneous conclusion that the strong interactions exhibited very large isospin breaking in pi pi scattering. Implications for electromagnetic "subtraction" procedures in other hadronic systems and the utility of the effective Lagrangian method for avoiding such errors are obvious.
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"abstract": "The leading non-Coulombic electromagnetic contributions to pi pi s-wave\nscattering lengths are computed in Chiral Perturbation Theory. It is shown that\nthese corrections are zeroth order in the chiral expansion and associated with\nelectromagnetic contact terms in the effective Lagrangian, i.e. that they do\nnot involve explicit photon fields in the low-energy effective theory. It is\npointed out that, if one followed the standard meson-exchange-model ansatz for\nremoving electromagnetic effects, i.e. of subtracting contributions associated\nwith explicit photon exchange and radiative corrections, as determined by the\nphoton coupling vertices of the effective hadronic theory, one would completely\nmiss these contributions and arrive at the erroneous conclusion that the strong\ninteractions exhibited very large isospin breaking in pi pi scattering.\nImplications for electromagnetic \"subtraction\" procedures in other hadronic\nsystems and the utility of the effective Lagrangian method for avoiding such\nerrors are obvious.",
"arxiv_id": "nucl-th/9610051",
"authors": [
"K. Maltman",
"C. E. Wolfe"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0370-2693(96)01617-6",
"journal_ref": "Phys.Lett.B393:19-25,1997; Erratum-ibid.B424:413,1998",
"title": "Electromagnetic Corrections to Pi Pi Scattering: Some Lessons for the Implementation of Meson Exchange Models",
"url": "https://arxiv.org/abs/nucl-th/9610051"
},
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