A pictorial representation of bound quarks.

1. RHIC accelerated two gold ions together producing a variety of particles that left the track pattern below The correlation function, which employs the wave function, gives easy rise to the fireball radii. Addition of a potential to the pion-Klein-Gordon equation to determine ‘fireball’ sizeBy Laniece MillerAdvisor: Dr. Ralf RappDr. Hendrik van Hees My project is to look at the optical potential in the Klein-Gordon equation and attempt to determine a more exact form. If the nuclei hit with high enough energy, then the nucleons will overlap enough to that the quarks and gluons are no longer bound to a particular hadron, forming the quark gluon plasma. The pion-Klein-Gordon equation. A pictorial representation of bound quarks. The Klein-Gordon equation gives a differential equation which allows us to calculate the wave function of pions leaving the fireball. Temperature vs. Chemical Potential phase diagram The problem with the standard Klein-Gordon equation is the radii do not match the experimental radii. More recently, it has been suggested to add an optical potential, but some parameters may not be realistic. From the wave equations, we can use HBT Interferometry to determine the original size of the fireball. Two atoms collide, their nucleons overlap forming the fireball, which then expands forming the hadron gas before finally reaching freeze-out and streaming to the detector.