Dalitz plot analysis of theD+→π−π+π+decay

Abstract

Using 281 pb −1 of data recorded by the CLEO-c detector in e + e − collisions at the ψ(3770), corresponding to 0.78 million D + D − pairs, we investigate the substructure of the decay D + → π − π + π + using the Dalitz plot technique. We find that our data are consistent with the following intermediate states: ρ(770)π + , f 2 (1270)π + , f 0 (1370)π + , f 0 (1500)π + , f 0 (980)π + , and σπ + . We confirm large S wave contributions at low ππ mass. We set upper limits on contributions of other possible intermediate states. We consider three models of the ππ S wave and find that all of them adequately describe our data.

Thermal hadron production in relativistic nuclear collisions: The hadron mass spectrum, the horn, and the QCD phase transition

“…The systematic uncertainty introduced by this is estimated to be well below the bias introduced if the high-mass states would not be considered. Another recent development in the field of hadron spectroscopy is the strengthening of the case for the existence of the σ meson (labelled f 0 (600) in the PDG compilation [29]) [30,31,32]. The σ meson is a broad structure, whose properties are extracted from fits of measurements in various channels (see [30] for a recent review) and decays into π + π − .…”

Probing the substructure off0(1370)

“…Various predictions within the framework of ref.[93] are in close agreement with other experimental or theoretical works. These include the 70 MeV estimate of the total decay width of a 0 (980) in [94] which is confirmed experimentally [65]; the four-quark nature of light scalars probed in radiative φ decays [41,96]; and the prediction of sigma meson in agreement with experimental analysis [66,67]. Other low-energy processes in which scalar mesons are expected to play important roles are studied within this framework including the πη scattering [95]; and the isospin violating decays η, η ′ → 3π [97].…”

Theoretical analysis of direct CP violation and differential decay width in $$D^\pm \rightarrow \pi ^\pm \pi ^+\pi ^-$$ D ± → π ± π + π - in phase space around the resonances $$\rho ^0(770)$$ ρ 0 ( 770 ) and $$f_0(500)$$ f 0 ( 500 )

“…where F and X can be π ) which we use here is a rough estimation, and is consistent with the branching ratio of D + → f 0 (500)π + extracted from a Dalitz analysis of the data [36].…”