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Isospin breaking and f(0)(980)-a(0)(980) mixing in the eta(1405) -> pi(0)f(0)(980) reaction

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Isospin breaking and f(0)(980)-a(0)(980) mixing in the eta(1405) -> pi(0)f(0)(980) reaction

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dc.contributor.author Aceti, Francesca
dc.contributor.author Liang, W. H.
dc.contributor.author Oset Báguena, Eulogio
dc.contributor.author Wu, J. J.
dc.contributor.author Zou, B. S.
dc.date.accessioned 2014-05-26T10:59:25Z
dc.date.available 2014-05-26T10:59:25Z
dc.date.issued 2012
dc.identifier.citation Aceti, Francesca Liang, W. H. Oset Báguena, Eulogio Wu, J. J. Zou, B. S. 2012 Isospin breaking and f(0)(980)-a(0)(980) mixing in the eta(1405) -> pi(0)f(0)(980) reaction Physical Review D 86 11 114007
dc.identifier.uri http://hdl.handle.net/10550/35427
dc.description.abstract We make a theoretical study of the eta(1405) -> pi(0)f(0)(980) and eta(1405) -> pi(0)a(0)(980) reactions with an aim to determine the isospin violation and the mixing of the f(0)(980) and a(0)(980) resonances. We make use of the chiral unitary approach where these two resonances appear as composite states of two mesons, dynamically generated by the meson-meson interaction provided by chiral Lagrangians. We obtain a very narrow shape for the f(0)(980) production in agreement with a BES experiment. As to the amount of isospin violation, or f(0)(980) and a(0)(980) mixing, assuming constant vertices for the primary eta(1405) -> pi K-0 (K) over bar and eta(1405) -> pi(0)pi(0)eta production, we find results which are much smaller than found in the recent experimental BES paper, but consistent with results found in two other related BES experiments. We have tried to understand this anomaly by assuming an I = 1 mixture in the eta(1405) wave function, but this leads to a much bigger width of the f(0)(980) mass distribution than observed experimentally. The problem is solved by using the primary production driven by eta' -> K*(K) over bar followed by K* -> K pi, which induces an extra singularity in the loop functions needed to produce the f(0)(980) and a(0)(980) resonances. Improving upon earlier work along the same lines, and using the chiral unitary approach, we can now predict absolute values for the ratio Gamma(pi(0), pi(+)pi(-))/Gamma(pi(0), pi(0)eta) which are in fair agreement with experiment. We also show that the same results hold if we had the eta(1475) resonance or a mixture of these two states, as seems to be the case in the BES experiment.
dc.relation.ispartof Physical Review D, 2012, vol. 86, num. 11, p. 114007
dc.subject Física
dc.title Isospin breaking and f(0)(980)-a(0)(980) mixing in the eta(1405) -> pi(0)f(0)(980) reaction
dc.type journal article es_ES
dc.date.updated 2014-05-26T10:59:25Z
dc.identifier.doi 10.1103/PhysRevD.86.114007
dc.identifier.idgrec 083281
dc.rights.accessRights open access es_ES
dc.identifier.url 10.1103/PhysRevD.86.114007

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