Heavy quarkonium production in a strong magnetic field

Abstract

It is well known that in noncentral heavy-ion collisions a transient strong magnetic field is generated in the direction perpendicular to the reaction plane. The maximal strength of this field is estimated to be $eB \sim m^2_{\pi} \sim 0.02 \text{GeV}^2$ at the RHIC and $eB \sim 15 m^2_{\pi} \sim 0.3 \text{GeV}^2$ at the LHC. We investigate the effects of a strong magnetic field on $B$ and $D$ mesons, focusing on the changes of the energy levels and the masses of the bound states. Using the Color Evaporation Model we discuss the possible changes in the production of $J/\psi$ and $\Upsilon$.Comment: 18 pages, 7 figure

Modification of theBmeson mass in a magnetic field from QCD sum rules

“…IV, where we show that the magnetic field has the effect of lowering the masses of the heavy mesons studied, which is in agreement with recent potential model calculations [25,26].…”

Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review

“…possible ρ meson condensation in strong magnetic field [50][51][52][53][54], the neutral pion condensation in vaccum [55], the anisotropic viscosities in hydrodynamic equations [56][57][58][59][60], and the early-stage phenomena in heavy-ion collisions like the EM-field induced particle production [26,[61][62][63][64][65][66] and the dissociation of heavy-flavor mesons [67][68][69][70][71]. These topics will not be the main focus of this article.…”

Heavy quarkonia in strong magnetic fields

“…Various studies have approached the issue of quarkonia spectra and production rates in the presence of magnetic backgrounds [11][12][13][14][15][16][17]. Many interesting phenomena have been predicted, including the emergence of magnetic field induced mixings between different states and of production anisotropies with respect to the collision plane.…”