Study of Baryon Decuplet Particles

Abstract

We suggest a general formalism to treat a baryon as a composite system of three quarks and a “sea”. In this formalism, the sea is a cluster which can consist of gluons and quark- antiquark pairs. Historically, the static SU (6) quark model provide a good description of hadrons .baryons (mesons) are color singlet combination of three quarks (quarks – antiquark pairs) in the appropriate flavour and spin combination. The space time part of a hadrons wave function can be determined by using a specific model of confinement, e.g., the bag model, simple harmonic oscillator model, or other phenomenological models. The existence of a quark gluon interaction implies that quark antiquark pairs can be created by the virtual gluons emitted from valence quarks. These quark antiquark pairs are so called sea quarks. Usually the, “sea” means a contribution of the virtual gluons and sea quark – antiquark pairs. Although deep inelastic muon nucleon scattering shows that the sea components (quark –antiquark pairs and gluons indeed exist and play a very important role (e.g. gluons carry about one- half of the nucleon momentum and sea dominates small-x behavior of structure functions), it is commonly believed that in the low energy regime, static properties of hadrons are dominated by their valence components. However, it has been shown that the sea contributions may change the structure of hadrons and modify their low energy properties. Using the QCD interaction Hamiltonian and MIT bag model, Donghue and Golowich (DG) calculated the probabilities of different sea quark components in hadrons. In these models a mixing of q³ and q³+ gluon, in which a color 8c gluon coupled to an 8c q3 state to form a color singlet. However, the “sea” could be a gluon or a quark antiquark pair, or even more complicated, for instance a multi gluon state, multi quark antiquark pairs or gluon(s) plus quark antiquark pair(s) .Since the baryons should be colorless and a q3 state can be in color states 1c, 8c and 10c, the “sea ‘should also be in corresponding color states to form a color singlet baryon. In this work I have constructed the Wave Function for Baryon Decuplet Particles under the constraint of color singlet and S Wave.