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Off-shell s{yields}d transitions i K-decays

Abstract

The authors consider contributions to decays of K-mesons from effective lagrangians involving (i{gamma}{center_dot}D-m{sub q}), where D{sub {mu}} is the covariant derivative and m{sub q} is a relevant quark mass. For this purpose an effective low-energy QCD is used, where the quarks are coupled to the pseudoscalar mesons {pi}, K, {eta}. These couplings are due to their Goldstone character and reflect chiral-symmetry breaking. Within this scheme it is shown explicitly that for the decays K{yields}{pi}{pi} and K{yields}{gamma}{gamma}, the physical effects of operators involving (i{gamma}{center_dot}D-m{sub q}) are not zero, contrary to current statements. To be more specific, one obtains a zero effect only in the limit when the quark-meson interactions are switched off, that is for f{sub {pi}}{yields}{infinity}. Numerically, one finds weak impact on the CP-conserving K{yields}{pi}{pi} amplitude, while the impact of K{yields}{gamma}{gamma} is substantial in the CP-violating case. 17 refs., 4 figs.
Authors:
Eeg, J O; [1]  Picek, I [2] 
  1. Oslo Univ., Fysisk Inst. (Norway)
  2. Univ. of Zagreb, Theoretical Physics Dep. (Yugoslavia)
Publication Date:
Jul 01, 1992
Product Type:
Technical Report
Report Number:
OUP-92-13
Reference Number:
SCA: 662350; PA: AIX-24:008571; SN: 93000933094
Resource Relation:
Other Information: PBD: Jul 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GOLDSTONE BOSONS; WEAK HADRONIC DECAY; KAONS; BAG MODEL; COUPLING; CP INVARIANCE; ENERGY-LEVEL TRANSITIONS; GAMMA DECAY; QUANTUM CHROMODYNAMICS; QUARK MODEL; QUARK-HADRON INTERACTIONS; TRANSITION AMPLITUDES; 662350; DECAYS OF MESONS
OSTI ID:
10119661
Research Organizations:
Oslo Univ. (Norway). Fysisk Inst.
Country of Origin:
Norway
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0332-5571; Other: ON: DE93613207; TRN: NO9200071008571
Availability:
OSTI; NTIS; INIS
Submitting Site:
NWN
Size:
[14] p.
Announcement Date:
Jun 30, 2005

Citation Formats

Eeg, J O, and Picek, I. Off-shell s{yields}d transitions i K-decays. Norway: N. p., 1992. Web.
Eeg, J O, & Picek, I. Off-shell s{yields}d transitions i K-decays. Norway.
Eeg, J O, and Picek, I. 1992. "Off-shell s{yields}d transitions i K-decays." Norway.
@misc{etde_10119661,
title = {Off-shell s{yields}d transitions i K-decays}
author = {Eeg, J O, and Picek, I}
abstractNote = {The authors consider contributions to decays of K-mesons from effective lagrangians involving (i{gamma}{center_dot}D-m{sub q}), where D{sub {mu}} is the covariant derivative and m{sub q} is a relevant quark mass. For this purpose an effective low-energy QCD is used, where the quarks are coupled to the pseudoscalar mesons {pi}, K, {eta}. These couplings are due to their Goldstone character and reflect chiral-symmetry breaking. Within this scheme it is shown explicitly that for the decays K{yields}{pi}{pi} and K{yields}{gamma}{gamma}, the physical effects of operators involving (i{gamma}{center_dot}D-m{sub q}) are not zero, contrary to current statements. To be more specific, one obtains a zero effect only in the limit when the quark-meson interactions are switched off, that is for f{sub {pi}}{yields}{infinity}. Numerically, one finds weak impact on the CP-conserving K{yields}{pi}{pi} amplitude, while the impact of K{yields}{gamma}{gamma} is substantial in the CP-violating case. 17 refs., 4 figs.}
place = {Norway}
year = {1992}
month = {Jul}
}