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For the first time, we apply the temperature dependent relativistic meanfield (TRMF) model to study the ternary fission of heavy nucleus using leveldensity approach. The probability of yields of a particular fragment isobtained by evaluating the convolution integrals which employ the excitationenergy and the level density parameter for a given temperature calculatedwithin the TRMF formalism. To illustrate, we have considered the ternaryfissions in 252Cf, 242Pu and 236U with fixed third fragment A3 = 48Ca, 20O and16O respectively. The relative yields are studied for the temperatures T = 1, 2and 3 MeV. For the comparison, the relative yields are also calculated from thesingle particle energies of the finite range droplet model (FRDM). In general,the larger phase space for the ternary fragmentation is observed indicatingthat such fragmentations are most probable ones. For T = 2 and 3 MeV, the Sn +Ni + Ca is the most probable combination for the nucleus 252Cf. However, forthe nuclei 242Pu and 236U, the maximum fragmentation yields at T = 2 MeV differfrom those at T = 3 MeV. For T = 3 MeV, the closed shell (Z = 8) light massfragments with its corresponding partners has larger yield values. But, at T =2 MeV Si/P/S are favorable fragments with the corresponding partners. It isnoticed that the symmetric binary fragmentation along with the fixed thirdfragment for 242Pu and 236U are also favored at T = 1 MeV. The temperaturedependence of the nuclear shape and the single particle energies are alsodiscussed.

Ternary fission within the temperature dependent relativistic mean field approach