Multimeson model for the $D^+\to K^+K^-K^+$ decay amplitude - INSPIRE

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Multimeson model for the $D^+\to K^+K^-K^+$ decay amplitude

R.T. Aoude
(
- Rio de Janeiro, CBPF and
- U. Mainz, PRISMA
)
,
P.C. Magalhães
(
- Rio de Janeiro, CBPF and
- Munich, Tech. U.
)
,
A.C. Dos Reis
(
- Rio de Janeiro, CBPF
)
,
M.R. Robilotta
(
- Sao Paulo U.
)

May 29, 2018

22 pages

Published in:

Phys.Rev.D 98 (2018) 5, 056021

Published: Sep 25, 2018

e-Print:

1805.11764 [hep-ph]

DOI:

10.1103/PhysRevD.98.056021

View in:

ADS Abstract Service

reference search21 citations

Citations per year

Abstract: (APS)

We propose an approach to describe the D+→K-K+K+ decay amplitude, based on chiral effective Lagrangians, which can be used to extract information about KK¯ scattering. It relies on factorization and its main novel feature is the role played by multimeson interactions characteristic of chiral symmetry. Our trial function is an alternative to the widely used isobar model and includes both nonresonant three-body interactions and two-body rescattering amplitudes, based on coupled channels and resonances, for S- and P-waves with isospin 0 and 1. The latter are unitarized in the K-matrix approximation and represent the only source of complex phases in the problem. The nonresonant component, given by chiral symmetry as a real polynomium, is an important prediction of the model, which goes beyond the (2+1) approximation. Our approach allows one to disentangle the two-body scalar contributions with different isospins, associated with the f0(980) and a0(980) channels. We show how the KK¯ amplitude can be obtained from the decay D+→K-K+K+ and discuss extensions to other three-body final states.

Phenomenological aspects of field theory, general methods
effective Lagrangian: chiral
resonance: mass
resonance: coupling constant
isospin
three-body problem
coupled channel
anti-K
K
scattering

References(42)

Figures(23)

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R.T. Aoude
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