Existence of mesons after deconfinement
| dc.creator | Brau, F. | |
| dc.creator | Buisseret, F. | |
| dc.date | 2007-06-27 | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:52:28Z | |
| dc.date.available | 2026-07-07T08:52:28Z | |
| dc.description | We investigate the possibility for a quark-antiquark pair to form a bound state at temperatures higher than the critical one ($T>T_c$), thus after deconfinement. Our main goal is to find analytical criteria constraining the existence of such mesons. Our formalism relies on a Schrödinger equation for which we study the physical consequences of both using the free energy and the internal energy as potential term, assuming a widely accepted temperature-dependent Yukawa form for the free energy and a recently proposed nonperturbative form for the screening mass. We show that using the free energy only allows for the 1S bottomonium to be bound above $T_c$, with a dissociation temperature around $1.5\times T_c$. The situation is very different with the internal energy, where we show that no bound states at all can exist in the deconfined phase. But, in this last case, quasi-bound states could be present at higher temperatures because of a positive barrier appearing in the potential. | |
| dc.description | 14 pages, 3 figures; only the case T>T_c is discussed in v2 | |
| dc.identifier | https://arxiv.org/abs/0706.4012 | |
| dc.identifier | http://arxiv.org/abs/0706.4012 | |
| dc.identifier | Phys. Rev. C 76, 065212 (2007) | |
| dc.identifier | doi:10.1103/PhysRevC.76.065212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145291 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Existence of mesons after deconfinement | |
| dc.type | text |