1S0 pairing for neutrons in dense neutron matter induced by a soft pion
Abstract
The possibility of neutron pairing in the 1S0 channel is studied for dense neutron matter in a vicinity of the π0 condensation point. The 1S0 pairing gap is shown to occur in a model with a pairing force induced by the exchange of a soft neutral pionic mode. The soft pion induced potential Vπ(r) is characterized by an attenuating oscillatory behavior in coordinate space, while in momentum space all S-wave matrix elements Vπ(p,p') are positive. The solution of the gap equation reveals strong momentum dependence.
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