https://doi.org/10.1140/epja/i2008-10736-9
Regular Article - Theoretical Physics
Screened potential and quarkonia properties at high temperatures
1
Departamento de Física Fundamental, Universidad de Salamanca, E-37008, Salamanca, Spain
2
Departamento de Física Atómica, Molecular y Nuclear and IFIC, Universidad de Valencia - CSIC, E-46100, Burjassot, Valencia, Spain
3
Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900, São Paulo, SP, Brazil
* e-mail: valcarce@usal.es
Received:
20
October
2008
Revised:
21
January
2009
Accepted:
20
February
2009
Published online:
15
March
2009
We perform a quark model calculation of the quarkonia b
and c
spectra using smooth and sudden string breaking potentials. The screening parameter is scale dependent and can be related to an effective running gluon mass that has a finite infrared fixed point. A temperature dependence for the screening mass is motivated by lattice QCD simulations at finite temperature. Qualitatively different results are obtained for quarkonia properties close to a critical value of the deconfining temperature when a smooth or a sudden string breaking potential is used. In particular, with a sudden string breaking potential quarkonia radii remain almost independent of the temperature up to the critical point, only well above the critical point the radii increase significantly. Such a behavior will impact the phenomenology of quarkonia interactions in medium, in particular for scattering dissociation processes.
PACS: 14.40.Lb Charmed mesons – / 12.39.Jh Nonrelativistic quark model – / 25.75.Nq Quark deconfinement, quark-gluon plasma production, and phase transitions – / 24.85.+p Quarks, gluons, and QCD in nuclear reactions –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
