Role of the ?(1450) in low-energy observables from an analysis in the meson dominance approach
Por:
avalos, Gustavo, Rojas, Antonio, Sanchez, Marxil, Toledo, Genaro
Publicada:
7 mar 2023
Resumen:
The rho(1450) vector meson (rho') is becoming increasingly important to
properly describe precision observables. We analyze a set of decay modes
and cross sections, in the low-energy regime, to determine the role
played by this meson. This is done through the extraction of the
parameters for its description, in the context of the vector meson
dominance model and its effective hadronic interactions, involving the
low mass lying hadrons (rho, omega, and pi). In a first step, we
determine the parameters of the model from ten decay modes which are
insensitive to the rho'. Then, we consider the omega -> 3 pi decay and
exhibit the need to extend the description, by incorporating the rho'
and a contact term as prescribed by the Wess-Zumino-Witten anomaly. In a
second step, we incorporate the data from the e+e- -> 3 pi cross section
(as measured by SND, CMD2, BABAR, and BESIII) and then the e+e- -> pi 0
pi 0 gamma data (as measured by SND and CDM2) to further restrict the
rho' parameters validity region. As an application of the results, we
compute the e+e- -> 4 pi cross section for the so-called omega channel,
measured by BABAR, and find a good description of the data considering
the parameters found. As a byproduct, the coupling between rho, omega,
and pi (g rho omega pi = 11.314 +/- 0.383 GeV-1) is found to be
consistent with all the relevant observables, upon the inclusion of the
rho' and the contact term.
Filiaciones:
avalos, Gustavo:
Instituto de Física, Universidad Nacional Autónoma de México, AP 20-364, D.F., México, 01000, Mexico
Rojas, Antonio:
Instituto de Física, Universidad Nacional Autónoma de México, AP 20-364, D.F., México, 01000, Mexico
Sanchez, Marxil:
Instituto de Física, Universidad Nacional Autónoma de México, AP 20-364, D.F., México, 01000, Mexico
Toledo, Genaro:
Instituto de Física, Universidad Nacional Autónoma de México, AP 20-364, D.F., México, 01000, Mexico
Green Submitted, hybrid, Hybrid Gold
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