Monte Carlo Fitting Of Data From Muon Catalyzed Fusion Experiments In Solid Hydrogen

Abstract

Applying the classical chi-square fitting procedure for multiparameter systems is in somecases extremely difficult due to the lack of an analytical expression for the theoretical functionsdescribing the system. This paper presents an analysis procedure for experimental datausing theoretical functions generated by Monte Carlo method, each corresponding to definitevalues of the minimization parameters. It was applied for the E742 experiment (TRIUMF,Vancouver, Canada) data analysis with the aim to analyze data from Muon Catalyzed Fusionexperiments (extraction muonic atom scattering parameters and parameters of pd fusion inpdμ molecule).

Keywords

• data fitting; Monte Carlo simulation; chi-square estimator; gradient calculation; diffusion simulation; muonic atoms and molecules