Affiliation:
1. Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matters, College of Physical Science and Technology Yili Normal University Yili Xinjiang China
2. Xinjiang Astronomical Observatory, Chinese Academy of Sciences Urumqi Xinjiang China
3. School of Mathematics and Information Technology Yuncheng university Yuncheng Shanxi China
4. ICRA and Dipartimento di Fisica Universita di Roma La Sapienza Rome Italy
5. International Center for Relativistic Astrophysics Network Pescara Italy
Abstract
AbstractBased on the work of Fu et al. (2020), we derive the rest seven scattering‐state solutions to the Dirac equation when and establish a relation between differential scattering cross‐section, , and stellar matter density, , using the long‐wave approximation. It is found that the sensitivity of average scattering cross‐sections to the change in the stellar matter density is proportional to . We find that the average scattering amplitudes , as well as average scattering cross‐sections , are independent of the masses of particles, , for four scattering states , i = 0, 1, 2 and 3, while and depend on , for the rest four scattering states, , i = 0, 1, 2 and 3. By measuring the scattering cross‐section, we can determine the density of the ellipsoid and obtain its gravitational properties. This work will be useful in understanding the properties of anti‐Dirac spinors and the physical effects in a rotating spheroid.
Subject
Space and Planetary Science,Astronomy and Astrophysics