Yukawa-type system

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for . represents the meson field, while is the nucleon field.

Global well posedness in the energy class is in Bch1984, BlChd1978, FuTs1978, HaWl1987. Modified wave operators were constructed for large energy data at infinity in GiVl-p2.

With positive mass m=1, global well-posedness can be pushed to whenever and Pe-p2.