Study of Hadronic Structure and Properties of Compact Stars in a Relativistic Quark Model

Abstract

calculations using QCD from the and#64257;rst principle. We assume that the constituent newlinequarks in a baryon core are independently conand#64257;ned phenomenologically by an aver newlineage and#64258;avor independent potential with equal mixture of scalar and vector part in the newlinevi newlineform newlineU(r) = newline1 2 newline(1 + and#947;0)V (r) (1) newlinewhere newlineV (r) = (ar2 + V0) with a gt 0. newlinewhere (a, V0) are the potential parameters. This quark dynamics inside the hadron newlinecore in zeroth order is phenomenologically set from the Lagrangian density newlineL0 q(x) = ¯ and#968;q(x) [ newlinei 2 newlineand#947;µand#8592;and#8594; and#8706; µ and#8722;mq and#8722;U(r) ] and#968;q(x). (2) newlineWhere mq is the quark mass of the constituent quark. We assume all quarks in the baryon core in their ground 1s1/2 state, the normalised quark function and#968;q(x) satisand#64257;es the Dirac equation derivable from L0 q(x). This also provides the basic conand#64257;nement of quarks inside the hadrons.