With

scattering amplitude calculations, we battle against (naive) combinatorial complexity as we go either higher in order of quantum correction ( loop order ), or higher in number of external particles scattering (multiplicity), so our advances must be revolutionary to lift us forward.

Finally, we propose a simple method based on the dependent

scattering amplitude to assist paint formulators facing the task of improving the hiding power of a white paint either by increasing the quantity of pigments or by improving their spatial state of dispersion.

0] is the

scattering amplitude between a helium atoms and neutrons; [mu] = m x [m.

Traditionally, the

scattering amplitude of polarized neutrons with a polarized nucleus is described as follows:

Now, the general expression for the elastic

scattering amplitude is (see [7], p.

In the case of PV neutron spin rotation, for example, the PV component of the forward

scattering amplitude is proportional to the neutron momentum k, and, therefore, the relative phase [phi] = (n - 1)kz between the two neutron helicity states that leads to the rotation after a distance z, with n = 1 - 2[pi]f/[k.

We have calculated the differential cross-section with and without invoking the phase-variation parameter into the nucleon-nucleon (NN)

scattering amplitude and compared our results with the corresponding experimental data.

The index of refraction of a medium in terms of the coherent forward

scattering amplitude f(0) for a low-energy neutron [6] is

As an example, it is possible to construct the integrand of the complete, four-loop four-point

scattering amplitude in maximally supersymmetric gauge theory in four dimensions using only planar data, and the solution of a linear system of Jacobi identities.

or -]] * p term) of the weak interaction forward

scattering amplitude.

The neutron refractive index in terms of Sears' exact expression for the

scattering amplitude has been analyzed in order to evaluate the measured phase shifts.

Freddy Cachazo, Perimeter Institute, for uncovering numerous structures underlying

scattering amplitudes in gauge theories and gravity.