Dalitz plot analysis of D+ and D+ decay to π+π−π+ using the K-matrix formalism

Link, J. M.; Yager, P. M.; Anjos, J. C.; Bediaga, I.; Göbel, C.; Machado, A. A.; Magnin, J.; Massafferri, A.; Miranda, J. M. De; Pepe, I. M.; Polycarpo, E.; Reis, A. C. dos; Carrillo, S.; Casimiro, E.; Cuautle, E.; Sánchez-Hernández, A.; Uribe, C.; Vázquez, F.; Agostino, L.; Cinquini, L.; Cumalat, J. P.; O’Reilly, B.; Segoni, I.; Wahl, Michael; Butler, J. N.; Cheung, H. W. K.; Chiodini, G.; Gaines, I.; Garbincius, P. H.; Garren, L.; Gottschalk, E.; Kasper, P.; Kreymer, A.; Kutschke, R.; Wang, M.; Benussi, L.; Bertani, M.; Bianco, S.; Fabbri, F. L.; Zallo, A.; Reyes, M.; Cawlfield, C.; Kim, D. Y.; Rahimi, A. M.; Wiss, J.; Gardner, R.; Kryemadhi, A.; Chung, Y. S.; Kang, J. S.; Ko, B. R.; Kwak, J. W.; Lee, K. B.; Cho, K.; Park, H.; Alimonti, G.; Barberis, S.; Boschini, M.; Cerutti, Agustín Cobos; D’Angelo, P.; DiCorato, M.; Dini, P.; Edera, L.; Erba, S.; Giammarchi, M.; Inzani, P.; Leveraro, F.; Malvezzi, S.; Menasce, D.; Mezzadri, M.; Moroni, L.; Pedrini, D.; Pontoglio, C.; Prelz, F.; Rovere, M.; Sala, S.; Davenport, T. F.; Arena, Vincenzo; Boca, G.; Bonomi, G.; Gianini, G.; Liguori, G.; Merlo, M. M.; Pantea, D.; Pegna, D. Lopes; Ratti, S. P.; Riccardi, C.; Vitulo, P.; Hernandez, H.; López, A.; Luiggi, E.; Méndez, H.; Paris, A.; Vargas, J. E. Ramirez; Zhang, Y.; Wilson, J. R.; Handler, T.; Mitchell, R. E.; Engh, D.; Hosackr, M.

doi:10.1016/j.physletb.2004.01.065

Cited by 66 publications

(55 citation statements)

References 11 publications

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“…On the other hand as shown in figure 2, the phase-shift analysis for the D + → K − π + π + decay from E791 [6,7] and FOCUS [8,9] collaborations, considering the dominance of this isospin channel in the final state interaction of this decay [26], suggest that the magnitude from the model parametrization (2.1), with the structure shown in figure 1 may be possible. The deep minimum observed in figure 2 around 1.53 GeV, is consistent with the zero of |τ 1/2 M 2 Kπ |, as clearly depicted in the figure.…”

Section: Jhep08(2014)135mentioning

confidence: 95%

“…In all cases we considered W 1 = 1, W 2 = 0 and W 3 = −0.3. The data come from the phase-shift analysis of E791 [6,7] and FOCUS collaboration [8,9]. obtain the results shown by the solid lines in figure 13 for µ 2 = −1 GeV 2 .…”

Section: Jhep08(2014)135mentioning

confidence: 99%

“…The Dalitz plot analysis of the D + → K − π + π + was performed by different experiments, such as MARK III [13][14][15][16], NA14 [17,18], E691 [19,20], E687 [21,22], E791 [6] and FOCUS [8,9], using different decay models. These decay models differ in the way the S-wave is described: the sum of Breit-Wigners plus a constant nonresonant term, referred…”

Section: Jhep08(2014)135mentioning

confidence: 99%

“…As we are going to show in detail by calculations of three-body final state interactions in sections 6 and 7, this feature is kept. [6,7] and FOCUS collaboration (full inverted triangles) [8,9].…”

Section: Jhep08(2014)135mentioning

confidence: 99%

“…The weights in the driven terms of eqs. (6.4) and (6.5) are computed from the overlap of isospin state with the initial isospin distribution of the decay from the partonic amplitude, 8) and, evaluating in details the isospin coefficients, one gets…”

Section: Interaction In I Kπ = 1/2 and 3/2 Statesmentioning

confidence: 99%

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Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Guimaraes

Lourenço

Paula

et al. 2014

J. High Energ. Phys.

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The final state interaction contribution to D + decays is computed for the K − π + π + channel within a light-front relativistic three-body model for the final state interaction. The rescattering process between the kaon and two pions in the decay channel is considered. The off-shell decay amplitude is a solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in a Faddeev form. The projection onto the light-front of the coupled set of integral equations is performed via a quasi-potential approach. The S-wave Kπ interaction is introduced in the resonant isospin 1/2 and the non-resonant isospin 3/2 channels. The numerical solution of the light-front tridimensional inhomogeneous integral equations for the Faddeev components of the decay amplitude is performed perturbatively. The loop-expansion converges fast, and the three-loop contribution can be neglected in respect to the two-loop results for the practical application. The dependence on the model parameters in respect to the input amplitude at the partonic level is exploited and the phase found in the experimental analysis, is fitted with an appropriate choice of the real weights of the isospin components of the partonic amplitude. The data suggests a small mixture of total isospin 5/2 to the dominant 3/2 one. The modulus of the unsymmetrized decay amplitude, which presents a deep valley and a following increase for Kπ masses above 1.5 GeV, is fairly reproduced. This suggests the assignment of the quantum numbers 0 + to the isospin 1/2 K * (1630) resonance.

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