Vibration of Yukawa Potential Dependent Time and Extended Klein-Gordon Equation in Rindler Space-Time

Atom’s nucleus force understand by Yukawa potential independent time. We study Yukawa potentialdependent about time. We make Klein-Gordon equation is satisfied by Yukawa potential dependent about time.Yukawa potential satisfy Proca equation or Klein-Gordon equation. If we represent Yukawa potentialdependent time in Rindler space-time, this Yukawa potential satisfy the extended Klein-Gordon equation inRindler space-time. We understand Yukawa force in Rindler space-time.

The νR-philic scalar: its loop-induced interactions and Yukawa forces in LIGO observations

Right-handed neutrinos (νR) are often considered as a portal to new hidden physics. It is tempting to consider a gauge singlet scalar (ϕ) that exclusively couples to νR via a νRνRϕ term. Such a νR-philic scalar does not interact with charged fermions at tree level but loop-induced effective interactions are inevitable, which are systematically investigated in this work. The magnitude of the loop-induced couplings coincidentally meets the current sensitivity of fifth-force searches. In particular, the loop-induced coupling to muons could be tested in the recent LIGO observations of neutron star mergers as there might be a sizable Yukawa force in the binary system mediated by the νR-philic scalar.