differential cross section in a sentence

Examples

1. The differential cross section is extremely useful quantity in many fields of physics, as measuring it can reveal a great amount of information about the internal structure of the target particles.
2. The experiments on differential cross sections and polarisation for the elastic and two-body meson channels culminated in the discovery of three new mesons and a determination of their quantum numbers.
3. The differential cross section is always taken to be positive, even though in the most frequent case of limited-range repulsive interactions, larger impact parameters tend to cause less deflection.
4. His doctoral work at Rice University was in the design, construction, testing, and use of a new position-sensitive detection system for measuring differential cross sections of collisions of atoms and molecules.
5. In contrast, the "'differential cross section "'is a function that quantifies the intrinsic rate at which the scattered projectiles can be detected at a given angle ( where represents solid angle ).
6. An analysis of the doubly differential cross section above shows that electrons whose kinetic energy is larger than the rest energy ( 511 keV ) emit photons in forward direction while electrons with a small energy emit photons isotropically.
7. If we consider only s-wave scattering the differential cross section does not depend on the angle \ theta, and the total scattering cross section is just \ sigma = 4 \ pi | f | ^ 2.
8. The values of " "'X " "'in Thomson scattering can be predicted from incident flux, the density of the charged particles and their Thomson differential cross section ( area / solid angle ).
9. In order to analyse the relation between the photon energy E _ + and the emission angle \ Theta _ + between photon and positron, K�hn and Ebert integrated the quadruply differential cross section over \ Theta _-and \ Phi.
10. According to the probability interpretation of quantum mechanics the differential cross section is given by d \ sigma / d \ Omega = | f ( \ theta ) | ^ 2 ( the probability per unit time to scatter into the direction \ mathbf { k } ).