Scattering of quantum fields by a MOG black hole

This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar–tensor–vector modified gravitational theories. After determining the scattering modes in this black hole geometry, we apply the partial wave method to compute analytical expressions for the phase shifts that enter into the definition of scattering amplitudes. An analysis of the influence of the MOG parameter [Formula: see text] on the differential scattering cross-section and the induced polarization is conducted. Also, a comparison with Schwarzschild scattering (for which [Formula: see text]) is performed. Furthermore, it is also shown that glory and spiral/orbiting scattering are more significant for higher values of the free parameter [Formula: see text].

Calculation of the Scattering Amplitude of A Nucleus in the Presence of the Yukawa Potential

<p>The scattering amplitudes are obtained from the phase shifts for a spherically symmetric potential using the D-dimensional Schrödinger equation and the partial wave method. Plots show that the real and imaginary parts of the scattering amplitude are almost similar behavior. <strong></strong></p>

SCATTERING IN NONCOMMUTATIVE QUANTUM MECHANICS

We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method, it is shown that the conservation of the number of particles in elastic scattering is also valid in noncommutative spaces which means that the unitarity relation is held in noncommutative spaces. We also show that the noncommutativity of space has no effect on the optical theorem. Finally we study Gaussian function potential in noncommutative spaces which generates delta function potential as θ → 0.