| Full text | |
| Author(s): |
Boito, D. R.
[1, 2, 3]
;
Dedonder, J-P.
[4, 5]
;
El-Bennich, B.
[6, 4, 5]
;
Leitner, O.
[7, 4, 5]
;
Loiseau, B.
[4, 5]
Total Authors: 5
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil
[2] Univ Autonoma Barcelona, IFAE, E-08193 Barcelona - Spain
[3] Univ Autonoma Barcelona, Fis Teor Grp, E-08193 Barcelona - Spain
[4] Univ Paris 06, Grp Theorie, Lab Phys Nucl & Hautes Energies, CNRS, IN2P3, F-75252 Paris - France
[5] Univ Paris 07, Grp Theorie, Lab Phys Nucl & Hautes Energies, CNRS, IN2P3, F-75252 Paris - France
[6] Argonne Natl Lab, Div Phys, Argonne, IL 60439 - USA
[7] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati - Italy
Total Affiliations: 7
|
| Document type: | Journal article |
| Source: | Physical Review D; v. 79, n. 3 FEB 2009. |
| Web of Science Citations: | 9 |
| Abstract | |
We propose a model for D+->pi(+)pi(-)pi(+) decays following experimental results which indicate that the two-pion interaction in the S wave is dominated by the scalar resonances f(0)(600)/sigma and f(0)(980). The weak decay amplitude for D+-> R pi(+), where R is a resonance that subsequently decays into pi(+)pi(-), is constructed in a factorization approach. In the S wave, we implement the strong decay R ->pi(+)pi(-) 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(pi pi)(2) from threshold to about 3 GeV2. In order to reproduce the experimental Dalitz plot for D+->pi(+)pi(-)pi(+), we include contributions beyond the S wave. For the P wave, dominated by the rho(770)(0), we use a Breit-Wigner description. Higher waves are accounted for by using the usual isobar prescription for the f(2)(1270) and rho(1450)(0). The major achievement is a good reproduction of the experimental m(pi pi)(2) distribution, and of the partial as well as the total D+->pi(+)pi(-)pi(+) 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 ->sigma transition form factor at q(2)=m pi(2). (AU) | |