The phase space acceptance of a helical quadrupole channel of finite length Ohnuma, Shoroku
The acceptance region in the four-dimensional phase space of a helical quadrupole channel has been investigated numerically. The two transverse directions are strongly coupled and the projection on the (x, x') plane of the four-dimensional acceptance region is not independent of (y, y'). If such a channel is used as a pion or a muon channel, it has to be matched to quadrupoles and bending magnets so that its effective acceptance would become smaller than the acceptance region in the four-dimensional phase space. In calculating the acceptance, a circular aperture has been assumed. Also, the axial magnetic field B₂ is assumed to be small so that the transverse equations of motion are linear.
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