Isospin dependence of isobaric ratio Y( 3( H)/Y( 3 He) and its relation to temperature

Abstract A dependence of the isobaric ratio Y( 3 H)/Y( 3 He ) on the N / Z ratio of the reconstructed quasiprojectile for the reaction of 28 Si beam with 112,124 Sn targets at two different projectile energies of 30 and 50 MeV/nucleon is presented. We demonstrate a linear dependence of the observable ln( Y( 3 H)/Y( 3 He ) ) on the N / Z ratio of the quasiprojectile and show the dependence of the slope on the reconstructed excitation energy of the quasiprojectile. We relate this slope dependence at a given excitation energy to the temperature of the fragmenting system. Using the model assumptions of the statistical multifragmentation model, a method of temperature determination is proposed. A caloric curve is constructed and compared to the result of the double isotope ratio method for the same set of the data and to the results of other studies.