dorsal/arxiv
View SchemaRelativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation
| Authors | V. Yu. Korda, L. Canton, A. V. Shebeko |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0603025 |
| URL | https://arxiv.org/abs/nucl-th/0603025 |
| DOI | 10.1016/j.aop.2006.07.010 |
| Journal | AnnalsPhys.322:736-768,2007 |
Abstract
The method of unitary clothing transformations put forward in relativistic quantum field theory (QFT) by Greenberg and Schweber and developed by Shirokov is applied to construct a new family of interactions in the meson-two-nucleon system. Along with a brief exposition of its basic elements we show a specific transition from the initial ``bare'' one-meson and one-nucleon operators and states to their physical ``clothed'' counterparts. We emphasize that the clothing transformations in question do not alter the original total Hamiltonian, but provides a conceptually more transparent representation of the same Hamiltonian in terms of a new set of operators for particles with physical properties and their relativistic interactions. The Hermitian and energy-independent interaction operators for the processes piN -> piN, NN -> NN and NN -> pi NN are derived starting from the Yukawa-type couplings between fermions (nucleons and antinucleons) and bosons (pi-, eta-, rho-, omega-mesons, etc.). These types of interaction have a distinctive off-energy-shell structure which is naturally generated by the unitary transformation that removes from the Hamiltonian the (three-leg) piNN vertex coupling.
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"abstract": "The method of unitary clothing transformations put forward in relativistic\nquantum field theory (QFT) by Greenberg and Schweber and developed by Shirokov\nis applied to construct a new family of interactions in the meson-two-nucleon\nsystem. Along with a brief exposition of its basic elements we show a specific\ntransition from the initial ``bare\u0027\u0027 one-meson and one-nucleon operators and\nstates to their physical ``clothed\u0027\u0027 counterparts. We emphasize that the\nclothing transformations in question do not alter the original total\nHamiltonian, but provides a conceptually more transparent representation of the\nsame Hamiltonian in terms of a new set of operators for particles with physical\nproperties and their relativistic interactions. The Hermitian and\nenergy-independent interaction operators for the processes piN -\u003e piN, NN -\u003e NN\nand NN -\u003e pi NN are derived starting from the Yukawa-type couplings between\nfermions (nucleons and antinucleons) and bosons (pi-, eta-, rho-, omega-mesons,\netc.). These types of interaction have a distinctive off-energy-shell structure\nwhich is naturally generated by the unitary transformation that removes from\nthe Hamiltonian the (three-leg) piNN vertex coupling.",
"arxiv_id": "nucl-th/0603025",
"authors": [
"V. Yu. Korda",
"L. Canton",
"A. V. Shebeko"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.aop.2006.07.010",
"journal_ref": "AnnalsPhys.322:736-768,2007",
"title": "Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation",
"url": "https://arxiv.org/abs/nucl-th/0603025"
},
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