I don't understand how one event can be NSD and MB on the same time.
Non Single Diffractive (NSD) events are actually the sum of Non-Diffractive (ND) and Double Diffractive (DD) events
In diffractive events an incident particle is excited. A so-called diffractive system is created that carries the quantum numbers of the respective incoming particle (except possibly the spin). Subsequently it evolves and decays.
Non-diffractive collisions have many particles in the central region, steeply falling to higher rapidities.
In a single-diffractive collision only one of the beam particles breaks up and produces particles at high rapidities on one side.
In a double-diffractive collision both beam particles break up and produce particles at positive and negative high rapidities.
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