Scalar resonances in a unitary {pi}{pi} S-wave model for D{sup +}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +}

Journal Article · Sun Feb 01 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.034020· OSTI ID:21259906

Boito, D R ^[1]; Dedonder, J -P; Loiseau, B ^[2]; El-Bennich, B ^[2]; Leitner, O ^[2]

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1. Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona, E-08193 Bellaterra (Barcelona) (Spain)
2. Laboratoire de Physique Nucleaire et de Hautes Energies (IN2P3-CNRS-Universites Paris 6 et 7), Groupe Theorie, Universite P. and M. Curie, 4 Place Jussieu, F-75252 Paris (France)

We propose a model for D{sup +}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +} decays following experimental results which indicate that the two-pion interaction in the S wave is dominated by the scalar resonances f{sub 0}(600)/{sigma} and f{sub 0}(980). The weak decay amplitude for D{sup +}{yields}R{pi}{sup +}, where R is a resonance that subsequently decays into {pi}{sup +}{pi}{sup -}, is constructed in a factorization approach. In the S wave, we implement the strong decay R{yields}{pi}{sup +}{pi}{sup -} by means of a scalar form factor. This provides a unitary description of the pion-pion interaction in the entire kinematically allowed mass range m{sub {pi}}{sub {pi}}{sup 2} from threshold to about 3 GeV{sup 2}. In order to reproduce the experimental Dalitz plot for D{sup +}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +}, we include contributions beyond the S wave. For the P wave, dominated by the {rho}(770){sup 0}, we use a Breit-Wigner description. Higher waves are accounted for by using the usual isobar prescription for the f{sub 2}(1270) and {rho}(1450){sup 0}. The major achievement is a good reproduction of the experimental m{sub {pi}}{sub {pi}}{sup 2} distribution, and of the partial as well as the total D{sup +}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +} branching ratios. Our values are generally smaller than the experimental ones. We discuss this shortcoming and, as a by-product, we predict a value for the poorly known D{yields}{sigma} transition form factor at q{sup 2}=m{sub {pi}}{sup 2}.

• OSTI ID: 21259906
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 3; Other Information: DOI: 10.1103/PhysRevD.79.034020; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANCHING RATIO
BREIT-WIGNER FORMULA
D PLUS MESONS
DALITZ PLOT
DECAY AMPLITUDES
F0-980 MESONS
F2-1270 MESONS
FORM FACTORS
MASS
P WAVES
PARTICLE DECAY
PION-PION INTERACTIONS
PIONS MINUS
PIONS PLUS
RESONANCE
RHO-1450 MESONS
RHO-770 MESONS
S WAVES
SIMULATION