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Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula

G.M. Shore, Graham Shore

Nuclear Physics B, Volume: "B569", Issue: 1-3, Pages: 107 - 124

Swansea University Author: Graham Shore

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DOI (Published version): 10.1016/S0550-3213(99)00623-9

Abstract

The formulae describing the radiative decays $\eta'(\eta)\rta\c\c$ in QCD beyond the chiral limit are derived. The modifications of the conventional PCAC formulae due to the gluonic contribution to the axial anomaly in the flavour singlet channel are precisely described. The decay constants are...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa31900
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first_indexed 2017-03-09T13:59:37Z
last_indexed 2018-02-09T05:19:14Z
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spelling 2017-02-09T13:49:16.4516259 v2 31900 2017-02-09 Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2017-02-09 FGSEN The formulae describing the radiative decays $\eta'(\eta)\rta\c\c$ in QCD beyond the chiral limit are derived. The modifications of the conventional PCAC formulae due to the gluonic contribution to the axial anomaly in the flavour singlet channel are precisely described. The decay constants are found to satisfy a modified Dashen formula which generalises the Witten--Veneziano formula for the mass of the $\eta'$. Combining these results, it is shown how the topological susceptibility in QCD with massive, dynamical quarks may be extracted from measurements of Journal Article Nuclear Physics B "B569" 1-3 107 124 05503213 31 7 1999 1999-07-31 10.1016/S0550-3213(99)00623-9 http://inspirehep.net/record/504946 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-02-09T13:49:16.4516259 2017-02-09T13:49:15.8900666 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics G.M. Shore 1 Graham Shore 2
title Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
spellingShingle Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
Graham Shore
title_short Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
title_full Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
title_fullStr Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
title_full_unstemmed Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
title_sort Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula
author_id_str_mv 28a24f55687c82d6f3ee378ead3cf234
author_id_fullname_str_mv 28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore
author Graham Shore
author2 G.M. Shore
Graham Shore
format Journal article
container_title Nuclear Physics B
container_volume "B569"
container_issue 1-3
container_start_page 107
publishDate 1999
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(99)00623-9
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/504946
document_store_str 0
active_str 0
description The formulae describing the radiative decays $\eta'(\eta)\rta\c\c$ in QCD beyond the chiral limit are derived. The modifications of the conventional PCAC formulae due to the gluonic contribution to the axial anomaly in the flavour singlet channel are precisely described. The decay constants are found to satisfy a modified Dashen formula which generalises the Witten--Veneziano formula for the mass of the $\eta'$. Combining these results, it is shown how the topological susceptibility in QCD with massive, dynamical quarks may be extracted from measurements of
published_date 1999-07-31T03:39:01Z
_version_ 1763751746577891328
score 11.035655

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