Asymptotics and zeros of the imaginary part of the elastic scattering amplitude
I. M. Dremin
Lebedev Physical Institute, 119991 Moscow, Russia
Abstract
The s-channel unitarity condition for the imaginary part of the
hadronic elastic scattering amplitude outside the diffraction peak is studied
within different assumptions about the behavior of its real part. The
integral equation for the imaginary part is derived with the asymptotical
expression for the real part inserted in the unitarity condition. The
conclusions about the asymptotical approach to the black disk limit and
possible zeros of the imaginary part of the amplitude are obtained. Their
relation to the present day experiments is discussed.