Scattering energy-independent

So, the scattering matrix in our problem is described by 7 independent real parameters. For a point scatterer with energy independent scattering amplitudes (to, ro) one readily gets that t 2 = to 2 = D (D is the junction transparency). The phases are... 

It can be found in standard textbooks that the neutron nuclear scattering is isotropic and characterized by a single parameter, b, the scattering length, independent of the neutron energy. Theory also attributes to each nucleus a coherent bound cross section ... 

Fig. 2. Phase-shifts of NN scattering for the (a) Pi,(b) and(c) partial wave. Predictions are shown for the Bryan-Scott (B-S) potential of 1969 [12] (long dashes), Nijmegen potential [13] (short dashes), Paris potential [14] (dotted), and the Bonn full model [15] (solid line). The solid squares represent the energy-independent phase shift analysis by Arndt et al. [16].

The assumptions for the Wigner condition do not seem to be valid at the present moment. Jastrow interprets the high energy scattering data in terms of a repulsive core. Feshbach s boundary condition formulation of the two-body data implies velocity dependent forces (in that the boundary conditions are energy independent). Feshbach s solutions are also not in agreement with the Serber mixture ". 

In absence of absorption and with energy-independent scattering cross sections, the solution of Equation (2.1) normalized to one source neutron is asymptotically... 

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