Peculiar features of missing mass distributions in studies of exclusive reactions

TL;DR

This paper investigates how various factors like radiative effects, detector resolution, and final state interactions influence missing mass distributions in exclusive reactions, using theoretical calculations and Monte Carlo simulations.

Contribution

It provides a detailed analysis of individual effects on missing mass distributions and includes a simple model for final state interactions in double-pion electroproduction.

Findings

Factors significantly alter missing mass distributions

Monte Carlo simulations effectively model these effects

Final state interactions impact kinematic distributions

Abstract

This study examines the influence of the following five factors on missing mass distributions, radiative effects, admixtures from other channels, detector resolution, Fermi smearing, and final state interactions with spectator nucleons. All factors are considered independently of each other. The examination is supported by theoretical calculations and exemplified by distributions of the quantities $M^{2}_{X[0]}$ and $M^{2}_{X[\pi^{-}]}$ that are produced by the Monte Carlo simulation for the double-pion electroproduction off protons. The study also includes a naive modeling of kinematic effects of final state interactions with spectator nucleons.