Nuclear Enthalpies or Nucleon Properties inside Compressed Nuclear Matter Jacek Rozynek ‘‘Is it possible to maintain my volume constant when the pressure.

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Presentation transcript:

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, ; Pressure Corrections to the Equation of State in the Nuclear Mean Field, , Acta Phys. Pol. B Proc. Suppl. Vol. 5 No 2 (2012) 375

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

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 

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

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

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

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

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

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

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

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).

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

Results 3rd International Conference on New Fronties in`Physics

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

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

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 -> rd International Conference on New Fronties in`Physics

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