# Heavy quarkonium dissociation in the finite space of heavy-ion collisions

## TL;DR

This paper investigates how the limited spatial environment in heavy-ion collisions affects heavy quarkonium dissociation, revealing that early-time dissociation is significantly suppressed due to spatial constraints.

## Contribution

It introduces a modified Euler-Maclaurin formula to accurately compute discrete spectrum sums in finite spaces for quarkonium dissociation analysis.

## Key findings

- Early-time quarkonium dissociation is negligible in finite space.
- Finite spatial constraints suppress dissociation compared to infinite medium.
- A novel numerical method improves calculations of discrete spectra.

## Abstract

The dissociation of heavy quarkonia in the constrained space is calculated at leading order compared with that in infinitely large medium. To deal with the summation of the discrete spectrum, a modified Euler-Maclaurin formula is developed as our numerical algorithm. We find that with the constraint in space, the dissociation of quarkonia at early time becomes negligible.