PoS - Proceedings of Science. 2015, 26-30-January-2015:058
The Hagedorn exponential mass spectrum with slope 1/TH was erroneously interpreted as fixing an upper limiting temperature TH that the system can achieve. To the contrary, such spectrum indicates a 1st order phase transition at a fixed temperature TH. A much lower energy example is the log linear level nuclear density below the neutron binding energy that prevails throughout the nuclear chart. We show that, for non-magic nuclei, such linearity implies a 1st order phase transition from the pairing superfluid to an ideal gas of quasi particles.
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