Reaction Matrix Calculations in Neutron Matter with Alternating-Layer-Spin Structure under 0 Condensation. I: Formulation

Abstract

Based on the viewpoint that a typical 7[0 condensation is realized with the [ALS] (Alternat ingLayerSpin) structure of nucleon system, a framework to calculate the energy of neutron matter under such a new phase is presented in the reaction matrix theory. This enables us to treat both effects on equal footing; the long-range effect dominated by the OPEP tensor component with the enhancement due to the mixing of .:::1(1236 MeV) and the short-range effect much influenced by repulsive core and spin-orbit force. Starting with the [ALS] model wave function constructed on the Bloch basis which assures to take the limit of no localization, we have the expressions for energy quantities expressed by the partial-wave contributions. This scheme provides a way to understand the mechanism of energy gain in the new phase, by making use of the notions of the ordinary nuclear matter theory such as the potential picture and the partial waves. Some numerical examples are shown.