‘‘Is it possible to maintain my volume constant when the pressure increases?”
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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. X Workshop of Heavy Ion Collision Kielce 13-15 December 2013
description
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. - PowerPoint PPT Presentation
Transcript of ‘‘Is it possible to maintain my volume constant when the pressure increases?”
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?”
- an nucleon when entering the compressed medium.
X Workshop of Heavy Ion Collision Kielce 13-15 December 2013
Definition 1
• HA = EA + pH ΩA Nuclear Enthalpy• HN = Mpr + pH ΩN 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 pH (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
P0A =EA =AA
Two Scenariosfor NN repulsion with qq attraction
• Constant Volume= Constant Enthalpy
• Constant Mass= Increasing Enthalpy 1/R
Two Scenariosfor 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 SN we have:
and Momentum Sum Rule
Flux Factor
Fermi Energy
Enthalpy/A
B-=B0 -B3
B-q=0
k k
No NN pairs
baryon current
P0A =EA =AA
Bag Model Estimate
pH=0
Nucleon Const. Mass Const. Volume
HN/Mpr(N) = 1 + pH ΩN /MN pH ΩN /Mpr
HA/EA = 1 + pH ΩA /AεA
Nuclear Matter
Problems in Relativistic Mean Field Approach
Decreasing
Volume
Decreasing Mass
Total Enthalpy
MN -const.
HN
HN -const.
pr
From M/ = EA/W
BUT! x=p+/hN 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
ConclusionsTotal Enthalpy HT = AEF
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!
