# 10th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions

May 31, 2020 to June 5, 2020
Online
US/Central timezone

## Heavy quarkonium suppression beyond the adiabatic limit

Jun 2, 2020, 7:30 AM
1h 20m
Online

#### Online

Poster Presentation Heavy Flavor and Quarkonia

### Speaker

Mr Ajaharul Islam (Kent State University)

### Description

Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the 3d Schrodinger equation in real-time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the $\Upsilon(1s)$, the difference between the adiabatic approximation and full real-time evolution is at the few percent level, however, for the $\Upsilon(2s)$, we find that the correction can be as large as 18% in low temperature regions. For the $J/\Psi$, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.

Contribution type Contributed Talk Heavy Flavor and Quarkonia

### Primary author

Mr Ajaharul Islam (Kent State University)

### Co-authors

Prof. Michael Strickland (Kent State University) Mr Jacob Boyd (Kent State University) Mr Thomas Cook (Kent State University)

### Presentation materials

 HP 2020 poster session Ajaharul Islam Poster Id=18 Poster_Hard Probes 2020_Ajaharul Islam.mp4 Poster_Hard Probes 2020_Ajaharul Islam.pdf