Published March 2007 | Version v1
Journal article

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

  • 1. Institute of Electrophysics and Radiation Technologies, National Academy of Sciences of Ukraine, 28 Chernyshevsky St., P.O. BOX 8812, UA-61002 Kharkov (Ukraine)
  • 2. Istituto Nazionale di Fisica Nucleare, Sez. di Padova, via F. Marzolo, 8, I-35131 Padova (Italy)
  • 3. NSC Kharkov Institute of Physics and Technology, National Academy of Sciences of Ukraine, 1 Akademicheskaya St., UA-61108 Kharkov (Ukraine)

Description

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 πN → πN, NN → NN and NN ↔ πNN are derived starting from the Yukawa-type couplings between fermions (nucleons and antinucleons) and bosons (π-, η-, ρ-, ω- 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) πNN vertex coupling

Additional details

Identifiers

DOI
10.1016/j.aop.2006.07.010;
arXiv
arXiv:nucl-th/0603025v1;
PII
S0003-4916(06)00179-5;

Publishing Information

Journal Title
Annals of Physics (New York)
Journal Volume
322
Journal Issue
3
Journal Page Range
p. 736-768
ISSN
0003-4916
CODEN
APNYA6

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.