Dirac perturbations of Hayward black hole with quintessence: Quasinormal modes and greybody factor

In the context of Dark Energy (DE) research, we examine the quasinormal modes (QNMs) and greybody factors (GFs) of Dirac field perturbation in the background of a Hayward black hole surrounded by quintessence (HBHQ). We analyzed the QNM using the sixth order WKB method for several modes: the Hayward parameter, the normalization factor and the state parameter of HBHQ. In parallel, we compute the QNM frequencies at the Eikonal limit for HBHQ by applying the unstable null geodesics of BHs. Based on the results, the Dirac perturbation around the BH exhibits a gradual decrease in damping and a steady increase in oscillation due to quintessence. Furthermore, we analyzed the Hawking temperature and showed that for a fixed value of the state parameter of the quintessence, increasing the quintessence normalization factor causes a decrease in the Hawking temperature of a regular HBHQ. As a result, the quintessence enhances the cooling of a regular HBHQ. Finally, we investigate the GF due to particle emission rates by considering the potential that governs these perturbations.