1. Nuclear Enthalpies or Nucleon Properties inside Compressed Nuclear Matter Jacek Rozynek ‘‘Is it possible to maintain my volume constant when the pressure increases?” - an nucleon when entering the compressed medium. 3rd International Conference on New Fronties in`Physics Nuclear Entalpies, 1311.3591; Pressure Corrections to the Equation of State in the Nuclear Mean Field, 1205.0431, Acta Phys. Pol. B Proc. Suppl. Vol. 5 No 2 (2012) 375

2. PRC 74 3rd International Conference on New Fronties in`Physics our model

3. Definitions Enthalpy is a measure of the total energy of a thermodynamic system. It includes the system's internal energy and thermodynamic potential (a state function), as well as its volume Ω and pressure p H (the energy required to "make room for it" by displacing its environment, which is an extensive quantity). 3rd International Conference on New Fronties in`Physics H A = E A + p H Ω A Nuclear Enthalpy (1) H N = M pr + p H Ω N Nucleon Enthalpy (2) Specific Enthalpies (3) h A (      p H  h N (  ) = H N /M pr = 1+ p H /(  cp M pr 

4. Enthalpy vs Hugenholz - van Hove relation with chemical potential (1a)

5. RMF and Momentum Sum Rule Frankfurt, Strikman Phys. Reports 160 (1988) (4) 3rd International Conference on New Fronties in`Physics Birse

6. Finally with a good normalization of S N we have: and Momentum Sum Rule Flux Factor Fermi Energy Enthalpy/A B - =B 0 -B 3 B-B- q=0 kk No NN pairs baryon current P 0 A =E A =A  A 3rd International Conference on New Fronties in`Physics

7. Bag Model in Compress Medium p H =0 3rd International Conference on New Fronties in`Physics (7)

8. Two Scenarios for NN repulsion with qq attraction Constant Volume = Constant Enthalpy Constant Mass = Increasing Enthalpy 1/R 3rd International Conference on New Fronties in`Physics

9. Two Scenarios affecting nuclear compressibility K -1 Constant Volume = Constant Enthalpy Constant Mass = Increasing Enthalpy 1/R 3rd International Conference on New Fronties in`Physics

10. K -1 =235MeVfm -3 Nuclear compressibility for different constant nucleon radii in compressed NM Nucleon Mass for different nucleon radii in compressed NM Our version of Hugenholz-Van Hove relation for finite nucleons in NM 3rd International Conference on New Fronties in`Physics

11. RMF Equation of State for const Enthalpy 3rd International Conference on New Fronties in`Physics (8) (9) Please note the positive absence of the nonlinear terms introduced by Boguta & Stocker (1983) fitted to get good value of K -1 and symmetry energy (2 extra parameters).

12. Equation of state - different models 3rd International Conference on New Fronties in`Physics

13. Results 3rd International Conference on New Fronties in`Physics

14. The toy model for phase transition (10) 3rd International Conference on New Fronties in`Physics

15. Nucleon radius in compressed NM for a constant nucleon mass Bag constant in function of nuclear pressure 3rd International Conference on New Fronties in`Physics

16. Two possible scenario of phase transition A - constant nucleon radius, B - constant nucleon mass Energy alignment  cr  (  cr ) =  cp M(  cr ) R[fm]=0.8 -> 0.69 3rd International Conference on New Fronties in`Physics

17. Conclusions A. Constant nucleon mass requires increasing enthalpy STIFFER EOS Critical pressure 120MeVfm -3 B. Constant nucleon volume give the constant enthalpy with decreasing nucleon mass lower compressibility SOFTER EOS Critical pressure 60MeVfm -3