Title: Annihilation of NMSSM neutralinos and Branching Ratios, Particle Decay Channel of lightest CP odd, even Higgs in NMSSM

Abstract: We examine neutralino dark matter within the NMSSM framework by conducting a comprehensive analysis of its parameter space. This involves evaluating neutralino capture and annihilation rates within the Sun. The exploration of potential detection strategies for neutralino dark matter in neutrino experiments hinges on the composition of neutralinos and their primary annihilation pathways. Our study also involves reassessing the maximum thresholds for branching ratios of lepton flavour violation decays by directly referencing the constrained limits on $ \Delta a_{\mu} $ from $ g_{\mu}-2 $ experiment. This work also presents constraints of muon flux, photon, positron and antiproton flux, specifically its independence from experimental intricacies and the universal applicability of recalculation coefficients across NMSSM model. We also calculate the Branching Ratios, Particle Decay Channel of lightest CP odd, even Higgs in NMSSM.