Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel
G.P. Malik1,3 - Raman K. Jha2,3 - V.S. Varma2
1 Theory Group, School of Environmental Sciences, Jawaharlal Nehru University,
New Delhi 110067, India
(e-mail: malik@jnuniv.ernet.in)
2 Department of Physics, University of Delhi, Delhi 110007, India
3 Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune
411007, India
Received: 21 July 1997 / Revised version: 20 October 1997 Communicated by F. Lenz
Abstract
We assume that high-energy nucleus-nucleus interactions give rise to a hot and
dense plasma comprising quarks and gluons due to successive nucleon-nucleon collisions.
We treat this plasma as an ideal fluid at temperature T prior to its eventual
particlization, and attempt a microscopic description of meson-formation by using finite
temperature propagators for q and 
in a Bethe-Salpeter equation with a Coulomb
plus a linear kernel. The equation thus obtained is reduced to a Schrodinger-like
equation which then yields, for 0 < T < 86 MeV, the bound state masses for different
states of 
and 
, which are in agreement with the experimental values
for these states. The effects of the temperature of the plasma on the meson masses show
up only when the temperature exceeds 86 MeV, pointing to the probable reason for the
successes of the earlier models which did not explicitly take the temperature of the
plasma into account.
PACS
12.40.-y Other models for strong interactions
Copyright Springer-Verlag
