X-ray line diagnostics of ion temperature at cosmic ray accelerating collisionless shocks

A novel collisionless shock jump condition is suggested by modeling the entropy production at transition region. We also calculate downstream developments of atomic ionization balance and ion temperature relaxation in supernova remnants (SNRs). The injection process subsequent acceleration cosmic-rays (CRs) SNR shocks are closely related to formation shocks. caused wave-particle interactions. Since interactions result energy exchanges between electromagnetic fields charged particles, randomization particles associated with may occur rate given scalar product electric field current. find that order-of-magnitude estimates reasonable strength constrain amount CR nuclei temperatures. constrained can be sufficient explain Galactic CRs. becomes significantly lower than case no To distinguish without CRs, we perform synthetic observations line emissions from region RCW~86. Future {\it XRISM} Athena} whether accelerates CRs or not