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Title: Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation

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 {pi}N {sup {yields}} {pi}N, NN {sup {yields}} NN and NN {r_reversible} {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) {pi}NN vertex coupling.

Authors:
 [1];  [2];  [3]
  1. Institute of Electrophysics and Radiation Technologies, National Academy of Sciences of Ukraine, 28 Chernyshevsky St., P.O. BOX 8812, UA-61002 Kharkov (Ukraine). E-mail: kvyu@kipt.kharkov.ua
  2. Istituto Nazionale di Fisica Nucleare, Sez. di Padova, via F. Marzolo, 8, I-35131 Padova (Italy). E-mail: luciano.canton@pd.infn.it
  3. NSC Kharkov Institute of Physics and Technology, National Academy of Sciences of Ukraine, 1 Akademicheskaya St., UA-61108 Kharkov (Ukraine). E-mail: shebeko@kipt.kharkov.ua
Publication Date:
OSTI Identifier:
20976742
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 3; Other Information: DOI: 10.1016/j.aop.2006.07.010; PII: S0003-4916(06)00179-5; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTINUCLEONS; ETA MESONS; HAMILTONIANS; NUCLEON-NUCLEON INTERACTIONS; NUCLEONS; OMEGA-1420 MESONS; PIONS; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; RHO-770 MESONS; TRANSFORMATIONS

Citation Formats

Korda, V.Yu., Canton, L., and Shebeko, A.V. Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation. United States: N. p., 2007. Web. doi:10.1016/j.aop.2006.07.010.
Korda, V.Yu., Canton, L., & Shebeko, A.V. Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation. United States. doi:10.1016/j.aop.2006.07.010.
Korda, V.Yu., Canton, L., and Shebeko, A.V. Thu . "Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation". United States. doi:10.1016/j.aop.2006.07.010.
@article{osti_20976742,
title = {Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation},
author = {Korda, V.Yu. and Canton, L. and Shebeko, A.V.},
abstractNote = {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 {pi}N {sup {yields}} {pi}N, NN {sup {yields}} NN and NN {r_reversible} {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) {pi}NN vertex coupling.},
doi = {10.1016/j.aop.2006.07.010},
journal = {Annals of Physics (New York)},
number = 3,
volume = 322,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}