Nuclear Enthalpies J. Rozynek NCBJ Warszawa – arXiv nucl-th 1311.3591 ( pedagogical example of volume/pressure corrections to EoS) ‘‘Is it possible to.

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Presentation transcript:

Nuclear Enthalpies J. Rozynek NCBJ Warszawa – arXiv nucl-th ( pedagogical example of volume/pressure corrections to EoS) ‘‘Is it possible to maintain my volume constant when the pressure increases?” - an nucleon when entering the compressed medium. X Workshop of Heavy Ion Collision Kielce December 2013

Definition 1 H A = E A + p H Ω A Nuclear Enthalpy H N = M pr + p H Ω N Nucleon Enthalpy 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).

Our Objective To estimate the volume/pressure correction to EOS Toy model for nucleons only

Definitions 2 P 0 A =E A =A  A

Two Scenarios for NN repulsion with qq attraction Constant Volume = Constant Enthalpy Constant Mass = Increasing Enthalpy 1/R

Two Scenarios for NN repulsion with qq attraction Constant Volume = Constant Enthalpy Constant Mass = Increasing Enthalpy 1/R

Enthalpy vs Hugenholz Hove relation

The Compressed Nuclear Matter Frankfurt, Strikman Phys. Reports 160 (1988)

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

Bag Model Estimate p H =0

Nucleon Const. Mass Const. Volume H N /M pr(N) = 1 + p H Ω N /M N p H Ω N /M pr H A /E A = 1 + p H Ω A /Aε A Nuclear Matter Problems in Relativistic Mean Field Approach Decreasing Volume Decreasing Mass Total Enthalpy

M N -const. H N H N -const. pr From M/  = E A /W BUT! x=p + /h N Different Björken scaling in DIS?

Support (at least) constant volume scenario Liu, Gao, Guo Nucl. Phys. A695, (2001) GCM non topological soliton model for quarks pions and sigma in bag Calculated B(  ) G, Hua J. Phys. G 25 (1999) Quark meson coupling model Proposed by Guichon & Thomas

Final Equations

Results

Conclusions Total Enthalpy H T = AE F for NM with extended nucleons FOR EOS  Constant mass requires increasing enthalpy -1/R STIFF EOS  Constant nucleon volume give the constant enthalpy with the nucleon mass decreasing with a nuclear density.  !Corrections to existings RMF models!