An improvement to the measurement of Dalitz plot parameters

Abstract

Precise measurement of the Dalitz plot parameters of the \eta^{\prime} \rightarrow \eta \pi^{+} \pi^{-}~ decay gives a better insight of the dynamics of the heavy pseudo-scalar meson. Various measurements of the Dalitz plot parameters of the \eta^{\prime} meson have been performed with the detection of all the final state particles including the neutral decay of \eta \rightarrow 2\gamma. In many experiments, reconstruction of the \eta meson from the neutral decay modes comes with the disadvantage of poor resolution and low efficiency compared to that of the charged particles. In this article, a study of the Dalitz plot parameters keeping the \eta meson as a missing particle is presented. The method is found to be advantageous in the case of poor photon resolution. Effect of the charged particle resolution on the Dalitz variable Y is also examined. This work may provide guidance to select a suitable method for the Dalitz plot analysis, depending on the detector resolution. Received: 27 June 2017, Accepted: 9 October 2017; Edited by: D. Restrepo; DOI: http://dx.doi.org/10.4279/PIP.090009 Cite as: S Ghosh, A Roy, Papers in Physics 9, 090009 (2017)

Keywords

• Dalitz Plot