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φ →π⁺π⁻ decay within a chiral unitary approach

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Oller, J. A. and Oset, E. and Peláez Sagredo, José Ramón (2000) φ →π⁺π⁻ decay within a chiral unitary approach. Physical review D, 62 (11). ISSN 1550-7998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.62.114017


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Abstract

Starting from the chiral perturbation theory Lagrangian, but keeping different masses for the charged and neutral mesons (m_u ≠ m_d), and using a previously developed nonperturbative unitary scheme that generates the lightest meson-meson resonances, we construct KK̅→KK̅ and KK̅→π⁺π⁻ in the vector channel. This allows us to obtain the kaon-loop contribution to φ-ρ mixing and study the φ→π⁺π⁻ decay. The dominant contribution to this decay comes from the φ→ϒ→π⁺π⁻ process. However, there can be large interferences with the subdominant contributions coming from φ-ρ and φ-ω mixing, or of these two contributions among themselves. As a consequence, a reliable measurement of φ→π⁺π⁻ decay could be used to differentiate between some φ-ω mixing scenarios proposed in the literature.


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Additional Information:

©2000 The American Physical Society.
We would like to thank T. Barnes, A. Bramon, R. Escribano, and Ulf-G. Meissner for discussions and useful information. J.A.O. would like to acknowledge partial financial
support from the Generalitat Valenciana. J.R.P. thanks the Departamento de Física Teórica and IFIC at the University of Valencia-CSIC for their warm hospitality. We would also like to acknowledge the financial support from the DGICYT under Contracts No. PB96-0753, AEN97-1693, and PB98-0782 and from the EU TMR network Eurodaphne, Contract No. ERBFMRX-CT98-0169.

Uncontrolled Keywords:Phase-shift analysis; Zweig-Iizuka rule; Pion form-factor; Perturbation-theory; Gev-C; Kpi scattering; One-loop; Elastic-scattering; Meson interactions; Hadronic loops
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35601
Deposited On:09 Feb 2016 18:05
Last Modified:10 Dec 2018 15:10

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