The thesis is organized as follows: Chapter 1 describes the theoretical framework of non-leptonic B(sub (s))(sup 0) (yields) H(sup +)h(prime)(sup -) decays, with a simple overview of the CP violation mechanism within the Standard Model and of the most used phenomenological approaches in the evaluation of strong interaction contributions. Chapter 2 contains a general description of the TEvatron collider and of the CDF II detector. Chapter 3 is devoted to the description of the data sample used for the measurement and the method used in extracting the signal from the background. Chapter 4 shows how the information from kinematics and particle identification was used to achieve a statistical discrimination. Chapter 5 is devoted to the accurate determination of the invariant mass lineshape.