Temperature determined by isobaric yield ratio in heavy-ion collisions

TL;DR

This study uses isobaric yield ratios to determine the temperature of heavy fragments in heavy-ion collisions, revealing dependencies on projectile neutron-richness and minimal energy effects, with implications for understanding fragment formation.

Contribution

It introduces a method to determine fragment temperature using IYRs and analyzes the influence of neutron-richness and decay processes on temperature measurements.

Findings

Heavy fragment temperatures range from 1 to 3 MeV.

Temperature depends on projectile neutron-richness, not incident energy.

Temperature-corrected chemical potential differences significantly affect lighter fragment temperatures.

Abstract

This work focuses on the study of temperature associated with the final heavy fragments in reactions induced by both the neutron-proton symmetric and the neutron-rich projectiles, and with incident energy ranges from 60$A$ MeV to 1$A$ GeV. Isobaric yield ratio (IYR) is used to determine the temperature of heavy fragments. Cross sections of measured fragment in reactions are analyzed, and a modified statistical abrasion-ablation (SAA) model is used to calculate the yield of fragment in 140$A$ MeV $^{64}$Ni + $^{9}$Be and 1$A$ GeV $^{136}$Xe + $^{208}$Pb reactions. Relatively low $T$ of heavy fragments are obtained in different reactions ($T$ ranges from 1 to 3MeV). $T$ is also found to depend on the neutron-richness of the projectile. The incident energy affects $T$ very little. $\Delta\mu/T$ (the ratio of the difference between the chemical potential of neutron and proton to temperature) is found to increase linearly as $N/Z$ of projectile increases. It is found that $T$ of the $^{48}$Ca reaction, for which IYRs are of $A<50$ isobars, is affected greatly by the temperature-corrected $\Delta B(T)$. But $T$ of reactions using IYRs of heavier fragments are only slightly affected by the temperature-corrected $\Delta B(T)$. The SAA model analysis gives a consistent overview of the results extracted in this work. $T$ from IYR, which is for secondary fragment, is different from that of the hot emitting source. $T$ and $\Delta\mu$ are essentially governed by the sequential decay process.