Improved Mit Bag Model with Hyper Central Interacting Potential

Abstract – An improved MIT bag model with hyper central interactions is used to calculate the static properties of hadrons containing u, d, s and c quarks. We present a theoretical approach to the internal structure of three-body hyper central interacting quarks in a hadron, in which we take hadron as a bag. We discuss a few of the results obtained using a six-dimension harmonic oscilator (h.o) potential, having a two-body character, which turns out to be a hyper central confinement part. The other potential is sixdimensional, which is attractive for small separation, originating from the color charge of hyper color term. However the potential can easily be generalized in order to allow a systematic analysis. We calculate the relativistic wave function for quarks in a scalar-vector hyper central potential, analytically. Finally, vanishing the normal component of vector current at the surface of the baryon bag as a boundary condition equivalent to confinement, results in the static properties and the strength of hyper Coulomb like potential parameter. This depends on the mass parameters contrary to almost all previous versions. The calculated static properties for baryon are better than in the uncorrected versions of the model. PACS index 12.39 .Ba, 12.39. Ki, 12.39. n P