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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}
}
  • We consider the neutral pion and nucleon fields interacting via the pseudoscalar (PS) Yukawa-type coupling. The method of unitary clothing transformations is used to handle the so-called clothed particle representation, where the total field Hamiltonian and the three boost operators in the instant form of relativistic dynamics take on the same sparse structure in the Hilbert space of hadronic states. In this approach the mass counterterms are cancelled (at least, partly) by commutators of the generators of clothing transformations and the field interaction operator. This allows the pion and nucleon mass shifts to be expressed through the corresponding three-dimensional integralsmore » whose integrands depend on certain covariant combinations of the relevant three-momenta. The property provides the momentum independence of mass renormalization. The present results prove to be equivalent to the results obtained by Feynman techniques.« less
  • BS>The processes of the scattering of mesons on nucleons with formation of nucleon isobars, belonging to the decuplet of the SU(3) group were examined. The general form of the amplitudes for processes of the octet + octet yields octet + decuplet type in the SU(3) symmetry and during its breakdown was obtained. The relations between amplitudes and cross sections of concrete processes were obtained and compared with experiment. The experimental data indicated symmetry breakdown and the relation between cross sections obtained with consideration of the SU(3) symmetry breakdown agree well with experiments. (tr-auth)