arXiv · 1706.08895
$\rho^0-\omega$ mixing in the presence of a weak magnetic field
Abstract
We calculate the momentum dependence of the $\rho^0-\omega$ mixing amplitude in vacuum with vector nucleon-nucleon interaction in presence of a constant homogeneous weak magnetic field background. The mixing amplitude is generated by the nucleon-nucleon ($NN$) interaction and thus driven by the neutron-proton mass difference along with a constant magnetic field. We find a significant effect of magnetic field on the mixing amplitude. We also calculate the Charge symmetry violating (CSV) $NN$ potential induced by the magnetic field dependent mixing amplitude. The presence of the magnetic field influences the $NN$ potential substantially which can have important consequences in highly magnetized astrophysical compact objects, such as magnetars. The most important observation of this work is that the mixing amplitude is non-zero, leading to positive contribute to the CSV potential if the proton and neutron masses are taken to be equal.
Explore related subjects
Keep this discovery
Mahatsab Mandal, Arghya Mukherjee, Snigdha Ghosh, Pradip Roy, Sourav Sarkar. 2017-06-27. $\rho^0-\omega$ mixing in the presence of a weak magnetic field. https://doi.org/10.1140/epja/i2018-12527-1
Cite the original work for its findings. Save a collection to share your selection of sources.