Magnetic field effect on charmonium formation in high energy nuclear collisions

Abstract

It is important to understand the strong external magnetic field generated at the very beginning of high energy nuclear collisions. We study the effect of the magnetic field on the charmonium yield and anisotropic distribution in Pb+Pb collisions at the LHC energy. The time dependent Schrödinger equation is employed to describe the motion of cc pairs. We compare our model prediction of noncollective anisotropic parameter v2 of J/ψs with CMS data at high transverse momentum. This is the first attempt to measure the magnetic field in high energy nuclear collisions.

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.…”

Screening masses in strong external magnetic fields

“…[12,13] for recent reviews. As regards the effects more directly related to color interactions, various studies have considered the possible influence of an external magnetic field on the static quark-antiquark potential [14][15][16][17][18][19], which has been clarified by recent lattice results [20,21], and might have consequences relevant to the spectrum of heavy quark bound states [22][23][24][25][26][27][28][29][30][31][32]. At zero temperature, the potential becomes anisotropic and the string tension σ is larger (smaller) in the direction orthogonal (parallel) to the magnetic field B [20,21]; at finite T , in particular in the region right below the pseudocritical temperature T c , the magnetic field induces a general suppression of σ [21], leading to an early onset of deconfinement, in agreement with the observed dependence of T c on B [33][34][35] In this paper we extend the study to the region of temperatures above T c , in order to investigate the effects of a magnetic background on the interactions between heavy quarks in the Quark-Gluon Plasma.…”

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.…”