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We study the production cross-sections and radiative decay widths of heavyquarkonia (charmonia and bottomonia) in magnetized nuclear matter. Theproduction cross-sections of the $\psi(3770)$ and $\Upsilon(4S)$, from the$D\bar D$ and $B\bar B$ scatterings respectively, are studied from the mediummodifications of the masses and partial decay widths to open charm (bottom)mesons, of these heavy flavor mesons. Within a chiral effective model, themasses of the vector and pseudoscalar charmonium (bottomonium) states arecalculated from the medium modification of a dilaton field, $\chi$, whichmimics the gluon condensates of QCD. In the presence of a magnetic field, thereis mixing of the pseudoscalar (P) meson and the longitudinal component of thevector (V) meson (PV mixing), which leads to appreciable modifications of theirmasses. The radiative decay widths of the vector (V) heavy quarkonia to thepseudoscalar (P) mesons ($J/\psi\rightarrow \eta_c(1S) \gamma$,$\psi(2S)\rightarrow \eta_c(2S) \gamma$ and $\psi(1D)\rightarrow \eta_c(2S)\gamma$ for the charm sector and $\Upsilon(NS)\rightarrow \eta_b(NS)\gamma$,$N$=1,2,3,4, for the bottom sector) in the magnetized asymmetric nuclear matterare also investigated in the present work. The difference in the mass of thetransverse component from the longitudinal component of the vector meson,arising due to PV mixing, is observed as a double peak structure in theinvariant mass spectrum of the production cross-section of $\psi(3770)$. Themodifications of the production cross-sections as well as the radiative decaywidths of the heavy quarkonia in the magnetized matter should have observableconsequences on the production of these heavy flavour mesons resulting fromultra-relativistic peripheral heavy ion collision experiments, where thecreated magnetic field can be extremely large.

Production cross-sections and Radiative Decay widths of Heavy Quarkonia in magnetized matter