Study of isospin nonconservation in the framework of spectral distribution theory

The observed isospin-symmetry breaking in light nuclei are caused not only by the Coulomb interaction but also by the isovector one- and two-body plus isotensor two- body nuclear interactions. Spectral distribution theory, which treats nuclear spectroscopy and other structural properties in a statistical framework, has been applied mostly to isospin conserving Hamiltonians. In this paper we extend that to include the nuclear interactions non-scalar in isospin and work out examples in the sd shell to calculate the linear term in the isobaric mass-multiplet equation originating from these non-isoscalar parts.