Variable Lande splitting factor and Composite Fermion

Abstract

The effective Lande splitting factor [Formula: see text] for heavy pentaquarks has been investigated, where the pentaquarks are described as Composite Fermions (CFs). The effective Lande splitting factor for heavy pentaquarks [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text], [Formula: see text] has been extracted. It has been suggested that due to color magnetic field, diquarks behave like CFs and effective masses of the pentaquarks [Formula: see text] have been estimated in diquark–diquark–antiquark scheme with the input of effective diquark masses calculated in the framework of Composite Fermion model (CFM). With [Formula: see text] as the additional contribution to the energy expression, the variation of [Formula: see text] with angular momentum [Formula: see text] has been studied. The vacuum value of [Formula: see text] has been extracted, which can be attributed to the splitting due to spin contribution of CFs and choromo-electromagnetic character of the QCD vacuum.