A mathematical model for the f₀(600) based on chaos theory

Abstract

The mathematical form of the recently-developed attractor for the runs-per-game frequency distribution in Major League Baseball is directly applied as a description for the mass distribution for the f₀(600). In the baseball context the attractor plays the role of an ergodic “State Function” of the quantized “State Variable”, x, which represents the number of runs scored in a baseball game, in that after a large number of games the abovementioned frequency distribution tends inexorably towards the form of the attractor. Such State Function (or attractor) we call “event-driven”, as it is the unfolding of the inherently unpredictable events associated with the game of baseball which leads to the scoring of runs. Likewise, we assume that the mass distribution for the f₀(600) is also event-driven and is a function of a quantized unit of mass, termed the “base ball” in the present work.We present statistical arguments involving most of the light unflavored scalar mesons to suggest that the base ball mass is approximately 2m_e , where m_e represents the mass of an electron.

Keywords:

• f₀(600)
• “base ball”
• mass distribution
• Chaos Theory