2018/02/09 by Mohammad A. Ganjali, Vahid Amirkhani, Ahmad ShamlouMehr
Physics and Astronomy · #Black Holes and Theoretical Physics #Compton scattering #Compton wavelength #Cosmology and Gravitation Theories #Fermion #General relativity #Gravitation #Gravitational potential #Graviton #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Scattering #Scattering amplitude #Yukawa potential #gr-qc
paper · pdf · doi:10.1007/s12648-019-01469-9
5 pages with 2 figures
arxiv created 2018/02/09 · openalex publication_date 2019/05/04 · arxiv updated 2019/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note, we examine the scattering of two identical fermions in theories where fermionic fields minimally coupled to higher derivative gravity. In particular, we consider the extension of general relativity with R2 corrections or non-local terms. We expand the action of fermions around the flat space background and obtain two fermion-one graviton vertex. Then, by considering the scattering amplitude of two fermions, we calculate the non-relativistic limit and that obtain the potential for two fermion-fermion interaction which would be the usual Newtonian potential corrected with a Yukawa-like term. At the end, we briefly discuss the astronomical effects of such Yukawa-like potential by computing the gravitational pressure of a spherical star and use it for a white dwarf to obtain quantum corrections of Chandrasekhar radius.