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‘‘Is it possible to maintain my volume constant when the pressure increases?”

Nuclear Enthalpies J . Rozynek NCBJ Warszawa – arXiv nucl-th 1311.3591 ( 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.

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‘‘Is it possible to maintain my volume constant when the pressure increases?”

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  1. Nuclear EnthalpiesJ . Rozynek NCBJ Warszawa – arXiv nucl-th 1311.3591 (pedagogical example of volume/pressure corrections to EoS) ‘‘Is it possible to maintain my volume constant when the pressure increases?” - annucleon when entering the compressed medium. X Workshop of Heavy Ion Collision Kielce 13-15 December 2013

  2. Definition 1 • HA = EA + pHΩA Nuclear Enthalpy • HN = Mpr + pHΩN 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 Ωand pressure pH (the energy required to "make room for it" by displacing its environment, which is an extensive quantity).

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

  4. Definitions 2 P0A =EA =AeA

  5. Two Scenariosfor NN repulsion with qq attraction • Constant Volume = Constant Enthalpy • Constant Mass • = Increasing Enthalpy • 1/R

  6. Two Scenariosfor NN repulsion with qq attraction • Constant Volume = Constant Enthalpy • Constant Mass • = Increasing Enthalpy • 1/R

  7. Enthalpy vs Hugenholz Hove relation

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

  9. baryon current B- q=0 Finally with a good normalization of SN we have: k k B-=B0 -B3 Flux Factor No NN pairs P0A =EA =AeA and Momentum Sum Rule Fermi Energy Enthalpy/A

  10. Bag Model Estimate pH=0

  11. Problems in Relativistic Mean Field Approach Nucleon Const. Mass Nuclear Matter HA/EA = 1 +pH ΩA /AεA Const. Volume HN/Mpr(N) = 1+pH ΩN /MN pH ΩN /Mpr Decreasing Volume Decreasing Mass Total Enthalpy

  12. MN -const. HN From M/W = EA/W pr HN -const. BUT! x=p+/hNDifferent Björken scaling in DIS?

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

  14. Final Equations

  15. Results

  16. ConclusionsTotal EnthalpyHT = AEFfor 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!

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