FRIB Experiments: Equation of State · 2020. 5. 5. · –Process Rates. Overview Results Looking Forward Reaction Mechanisms Compression Stage (Equilibration, Generation of ... Flow

Overview Results Looking Forward

FRIB Experiments: Equation of StatePawel Danielewicz (MSU)

Goals f/Central ReactionResearch:• Characteristics of

Nuclear Matter• Reaction Mechanisms• Methods (Transport,

Observables)Kim JKPS71(17)628

1 2 3 4 5!/!

0

1

10

100

P (M

eV/fm

3 )

Danielewicz et alNL3FSUIU-FSU

Symmetric Matter

Fattoyev PRC82(10)055803

Matter Characteristics:– Equations of State– Optical Potentials– Transport Coefficients– Process Rates

Overview Results Looking Forward

Reaction Mechanisms• Compression Stage

(Equilibration, Generation ofFlows, Meson Production)• From Compression to Final

Stage (FragmentProduction, Instabilities)

Colonna PPNP, in press

Lin arXiv:1912.11069

Methods– Transport

(Semiclassical/Quantum,Accuracy, Fluctuations)

– Observables f/MultiparticleFinal States

– Impact on Detectors– Machine Learning,

Uncertainty Quantification

Overview Results Looking Forward

Equation of State

EA (ρ, δ,T )⇒ E

A (ρ, δ = 0,T = 0)

P(ρ, δ,T ) – fundamental relation

δ = (ρn − ρp)/ρ – asymmetry

Observables• Flow• Subthreshold K Yields

0 1 2 3 4 5ρ/ρ0

100

101

102

103

P [M

eV fm

-3]

KaoS exp. Flow dataBHF, Av 18 + UVIX TBF

BHF, Av 18 + micro TBF

BHF, Bonn B + micro TBFAPR, Av 18 + UVIX TBFDBHF

Symmetric nuclear matter

Baldo PPNP91(16)203

Lynch

Overview Results Looking Forward

Transport Coefficients

Shear Viscosityη(ρ, δ = 0,T )

Observables: StoppingBarker PRC99(19)034607

0

20

40

60

80

100

120

140

10 30 50 70

η[M

eV/fm

2c]

T (MeV)

ρ/ρ0 = 0 .5

10 30 50 70

T (MeV)

ρ/ρ0 = 1

10 30 50 70

T (MeV)

ρ/ρ0 = 2

ν = 0 .4ν = 0 .6ν = 0 .8Fuchs

Rostockfree

Realistic Bundle

Shear Viscosity

Overview Results Looking Forward

Isoscalar Optical PotentialObservable: p⊥ Dependence of Elliptic Anisotropy at y = 0

RN =N(−90◦) + N(90◦)N(0◦) + N(180◦)

PD NPA673(00)375

Overview Results Looking Forward

Symmetry EnergyEA(ρn, ρp) =

E0

A(ρ) + S(ρ) δ2 +O(δ4)

symmetric matter (a)symmetry energy

Observables: Systematics of changes w/isospin, mirror pairs

n/Z=1 Elliptic-Flow Ratio

0.3 0.4 0.5 0.6 0.70.40.50.60.70.80.9

11.11.21.3

/A (GeV/c)t

p

ch 2/vn 2v

sti�

soft

0.10±=0.75γ

0

20

40

60

80

0 0.5 1 1.5 2

ρ/ρ0

S (M

eV)

n/ch �owBrownZhangHIC Sn+SnIASFOPI-LANDASY-EOS

Russotto PRC94(16)034608, Au+Au 400MeV/u

Overview Results Looking Forward

Isovector Optical PotentialRelation between masses m∗n and m∗p in a n-rich system?

Data

SLy4

Skm*

��∗ � ��

∗

��∗ � ��

∗

124 124

112 112

Sn Sn

Sn Sn

E / A 120 MeV

Central Collisions

+

+=

Coupland PRC94(16)011601

Overview Results Looking Forward

Interface w/Astrophysics

Symmetry pressure from difference between GW170817inference and δ = 0 matter from central collisions

Tsang PLB795(19)533

Overview Results Looking Forward

Transport Code Comparison

Correlation: Major PhysicsInputs

Observables

SecondaryPhysics Inputs

TechnicalDecisions

Same major inputs, test outputs for stringent/more open-endedconditions, between codes and against known limits

Outcomes:• Collisions in closed box→

Understood• Finite system→ Some Struggle• Subthreshold π in finite system→ Mystery

Ono PRC100(19)044617Detailed Balance Test

from

exp

ecte

d

Overview Results Looking Forward

Outlook

FRIB: Wider variation of δ f/given A or Z

Statistics: High needed to fish out centrality & quantifyreaction-plane effects, especially differential

Different nuclides could be lumped, but then these more rarewould be dominated by those more common.

Observables: Mirror products, n/p, t/3He, π−/π+

yields, spectra, flows, correlations

Physics: Isovector physics at finite ρ; finite T ; interfacew/astrophysics; dynamic instabilities; quantum transport