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Application of the hidden local symmetry effective chiral Lagrangian to evaluation of the {omega}(782), {phi}(1020) {yields} 5{pi} decay widths

Abstract

The amplitudes obtained from the effective chiral Lagrangian with anomalous terms based on hidden local symmetry are applied to the evaluation of the partial widths of the decay {omega} {yields} 2{pi}{sup +}2{pi}{sup -}{pi}{sup 0} and {omega} {yields} {pi}{sup +}2{pi}{sup -}3{pi}{sup 0}. Combining the Okubo-Zweig-Iizuka rule applied to the five-pion final state with the Adler condition of vanishing of the amplitude at the vanishing of four-momentum of any final pion in chiral limit, the {phi} {yields} 2{pi}{sup +}2{pi}{sup -}{pi}{sup 0} and {phi} {yields} {pi}{sup +}{pi}{sup -}3{pi}{sup 0} decay amplitudes are also calculated. The partial widths of the above decays are evaluated, and the resonance excitation curves in e{sup +}e{sup -} annihilation are obtained, assuming reasonable particular relations among the free parameters characterizing the anomalous terms of the Lagrangian. The evaluated branching ratios Br{sub {phi}} {sub {yields}} {sub {pi}}{sub {sup +}}{sub {pi}}{sub {sup -}}{sub 3{pi}}{sub {sup 0}} {approx} 2 x 10{sup -7} and Br{sub {phi}} {sub {yields}} {sub 2{pi}}{sub {sup +}}{sub 2{pi}}{sub {sup -}}{sub {pi}}{sub {sup 0}} {approx} 5 x 10{sup -7} are such that with the luminosity L=500 pb{sup -1} attained at DA{phi}NE {phi} factory one may already possess about 1340 events of the decay {phi} {yields} 5{pi}.
Authors:
Achasov, N N; Kozhevnikov, A A [1] 
  1. Sobolev Inst. for Mathematics, Siberian Division, Russian Academy of Science, Novosibirsk (Russian Federation)
Publication Date:
Jan 01, 2005
Product Type:
Journal Article
Resource Relation:
Journal Name: Yadernaya Fizika; Journal Volume: 68; Journal Issue: 1; Other Information: 26 refs., 14 figs; PBD: Jan 2005
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; EQUATIONS OF MOTION; LAGRANGIAN FUNCTION; LEVEL WIDTHS; LUMINOSITY; OMEGA-782 MESONS; PARTICLE DECAY; PIONS; SYMMETRY
OSTI ID:
20617324
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0044-0027; IDFZA7; TRN: RU0501638060553
Submitting Site:
INIS
Size:
page(s) 147-162
Announcement Date:
Aug 21, 2005

Citation Formats

Achasov, N N, and Kozhevnikov, A A. Application of the hidden local symmetry effective chiral Lagrangian to evaluation of the {omega}(782), {phi}(1020) {yields} 5{pi} decay widths. Russian Federation: N. p., 2005. Web.
Achasov, N N, & Kozhevnikov, A A. Application of the hidden local symmetry effective chiral Lagrangian to evaluation of the {omega}(782), {phi}(1020) {yields} 5{pi} decay widths. Russian Federation.
Achasov, N N, and Kozhevnikov, A A. 2005. "Application of the hidden local symmetry effective chiral Lagrangian to evaluation of the {omega}(782), {phi}(1020) {yields} 5{pi} decay widths." Russian Federation.
@misc{etde_20617324,
title = {Application of the hidden local symmetry effective chiral Lagrangian to evaluation of the {omega}(782), {phi}(1020) {yields} 5{pi} decay widths}
author = {Achasov, N N, and Kozhevnikov, A A}
abstractNote = {The amplitudes obtained from the effective chiral Lagrangian with anomalous terms based on hidden local symmetry are applied to the evaluation of the partial widths of the decay {omega} {yields} 2{pi}{sup +}2{pi}{sup -}{pi}{sup 0} and {omega} {yields} {pi}{sup +}2{pi}{sup -}3{pi}{sup 0}. Combining the Okubo-Zweig-Iizuka rule applied to the five-pion final state with the Adler condition of vanishing of the amplitude at the vanishing of four-momentum of any final pion in chiral limit, the {phi} {yields} 2{pi}{sup +}2{pi}{sup -}{pi}{sup 0} and {phi} {yields} {pi}{sup +}{pi}{sup -}3{pi}{sup 0} decay amplitudes are also calculated. The partial widths of the above decays are evaluated, and the resonance excitation curves in e{sup +}e{sup -} annihilation are obtained, assuming reasonable particular relations among the free parameters characterizing the anomalous terms of the Lagrangian. The evaluated branching ratios Br{sub {phi}} {sub {yields}} {sub {pi}}{sub {sup +}}{sub {pi}}{sub {sup -}}{sub 3{pi}}{sub {sup 0}} {approx} 2 x 10{sup -7} and Br{sub {phi}} {sub {yields}} {sub 2{pi}}{sub {sup +}}{sub 2{pi}}{sub {sup -}}{sub {pi}}{sub {sup 0}} {approx} 5 x 10{sup -7} are such that with the luminosity L=500 pb{sup -1} attained at DA{phi}NE {phi} factory one may already possess about 1340 events of the decay {phi} {yields} 5{pi}.}
journal = []
issue = {1}
volume = {68}
journal type = {AC}
place = {Russian Federation}
year = {2005}
month = {Jan}
}