Towards three-body unitarity in D{sup +}{yields}K{sup -}{pi}{sup +}{pi}{sup +}

Journal Article · Tue Nov 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.094001· OSTI ID:21608007

Magalhaes, P C; Robilotta, M R ^[1]; Frederico, T; Paula, W de ^[2]; Bediaga, I; Reis, A C. dos ^[3]; Maekawa, C M ^[4]; Zarnauskas, G R. S.

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1. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo, SP, 05315-970 (Brazil)
2. Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, SP, 12.228-900 (Brazil)
3. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, RJ, 22290-180 (Brazil)
4. Instituto de Matematica, Estatistica e Fisica, Universidade Federal do Rio Grande, Rio Grande, RS, Campus Carreiros, PO Box 474, 96201-900 (Brazil)

We assess the importance of final state interactions in D{sup +}{yields}K{sup -}{pi}{sup +}{pi}{sup +}, stressing the consistency between two- and three-body interactions. The basic building block in the calculation is a K{pi} amplitude based on unitarized chiral perturbation theory and with parameters determined by a fit to elastic LASS data. Its analytic extension to the second sheet allows the determination of two poles, associated with the {kappa} and the K{sup *}(1430), and a representation of the amplitude based on them is constructed. The problem of unitarity in the three-body system is formulated in terms of an integral equation, inspired in the Faddeev formalism, which implements a convolution between the weak vertex and the final state hadronic interaction. Three different topologies are considered for the former and, subsequently, the decay amplitude is expressed as a perturbation series. Each term in this series is systematically related to the previous one and a resummation was performed. Remaining effects owing to single and double rescattering processes were then added and results compared to FOCUS data. We found that proper three-body effects are important at threshold and fade away rapidly at higher energies. Our model, based on a vector-weak vertex, can describe qualitative features of the modulus of the decay amplitude and agrees well with its phase in the elastic region.

• OSTI ID: 21608007
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
CHIRALITY
DECAY AMPLITUDES
DISTURBANCES
ELEMENTARY PARTICLES
EQUATIONS
FADDEEV EQUATIONS
FINAL-STATE INTERACTIONS
HADRONS
INTERACTIONS
KAONS
KAONS MINUS
MATHEMATICS
MESONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PIONS
PIONS PLUS
PSEUDOSCALAR MESONS
RESCATTERING
SCATTERING
STRANGE MESONS
STRANGE PARTICLES
TOPOLOGY
TRANSITION AMPLITUDES
UNITARITY