  Pion and kaon dissociation in a medium of hot quark matter is studied in the
Nambu Jona-Lasinio model. The decay width of pion and kaon are found to be
large but finite at temperatures much higher than the so called critical
temperature of chiral or deconfinement transition, kaon decay width being
larger. Consequently, pions and even kaons (with a lower density compared to
pions) should coexist with quarks and gluons at such high temperatures. The
implication of the above result in the study of Quark-Gluon plasma is
discussed.
