Dalitz plot studies of D0 → KS0π+π− decays
1 Division of Theoretical Physics, The Henryk Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Kraków, Poland
2 ul. Bronowicka 85/26, 30-091 Kraków, Poland
3 Laboratoire de Physique Nucléaire et de Hautes Énergies, Groupe Théorie, Université Pierre et Marie Curie et Université Paris-Diderot, IN2P3 et CNRS, 4 place Jussieu, 75252 Paris, France
a e-mail: Leonard.Lesniak@ifj.edu.pl
The availaible data on the D0 → KS0π+π− decays are analysed in the framework of the quasi two-body QCD factorization approximation. The annihilation, via Wexchange, amplitudes are added to the weak-decay tree amplitudes. The doubly Cabibbo suppressed parts of the amplitudes are also considered. The strong interactions between the kaon-pion and pion-pion pairs in the S-, P- and D-final states are described in terms of the corresponding form factors. The kaon-pion or pion-pion scalar and vector form factors are constrained by other experimental data. Unitarity, analyticity and chiral symmetry are also used to obtain their functional forms. We go through a minimization procedure to reproduce the KS0π−, KS0π+ and π+ π- effective mass projections of the Dalitz plot distributions. The large number (27) of non-zero amplitudes leads to a large number of parameters. The resulting model distributions and branching fractions are compared to the accurate Belle Collaboration data.
© Owned by the authors, published by EDP Sciences, 2012
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