Suppose we have some criterion that provides an acceptable cut-off in l for the differential cross section
, namely [l.sub.max].
The differential cross section
for WIMP-electron scattering in an atom can be cast in a form containing the electron recoil energy:
The scattering amplitude of a red blood cell and the differential cross section
per unit volume of blood are given by [1,14].
(1997) Product state(s) resolved differential cross section
of the reaction O([sup.1]D)+HD[right arrow]OH(v,j)+D.
The calculation of NIEL requires information regarding the differential cross section
for atomic displacements (d[sigma]/d[OMEGA]), the average recoil energy of the target atoms ([E.sub.r]), and a term which partitions the energy into ionizing and nonionizing events, called the Lindhard partition factor (L).
The Rutherford formula for the differential cross section
, [sup.[sigma]] RUTH is then given by
This asymmetrical distribution is related to the polarization of he photons by the Bethe-Heitler differential cross section
, which serves as a theoretical prediction for asymmetry measurements.
In the single scattering regime, which takes place if the sample thickness d much smaller than L, the differential cross section
of the scatterers d[Sigma]([Omega])/d[Omega] may be measured.
Our interest is in calculating the differential cross section
for the process, [e.sup.-]([p.sub.1])[e.sup.-]([p.sub.2]) [right arrow] [e.sup.-]([p.sub.3])[e.sup.-]([p.sub.4]), at finite temperature.
The resultant single differential cross section
then reduces to the form
Accordingly, the differential cross section
for the tree-level scattering of a massive spin-0 particle by an external weak higher-derivative gravitational field assumes the following form:
The P-odd asymmetry of interest to us measures the strength of the dependence of the differential cross section
for the ([[right arrow].n], [gamma]) reaction on the pseudo-scalar [sigma] * [n.sub.[gamma]], where [sigma] is the transverse polarization of the neutron beam and [n.sub.[gamma]] is the unit vector in the direction of observed photon's momentum.