Systematic extraction of Spectroscopic Factors for Z=3-24 Isotopes Hui Ching Lee, Chinese University of Hong Kong

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Constraining neutron star matter with laboratory
experiments
2005 APS April Meeting Tampa FL
Betty Tsang
The National Superconducting Cyclotron
Laboratory _at_Michigan State University
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Birth of a Neutron Star
Outline Structure of NS and EOS Experimental
constraints NS observations (M, R,
T) Nuclei Heavy Ion Collisions (?lt?O) Current
status n/p ratios isotope distributions isospin
(N/Z) diffusion Heavy Ion Collisions (?gt?O) n/p
flow ?/?- ratios
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Size Structure of Neutron Star depends on EOS

• Dense neutron matter.
• Strong mag. field.
• Strange composition ?pasta and anti-pasta phases
  kaon/pion condensed core

• EOS influence
• R,M relationship
• maximum mass.
• Free Fermi gas EOS mass lt 0.7 M
• cooling rate.
• core structure

D. Page
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What is known about the EOS of symmetric
matterE(?, d) E(?, d0) Esym(?,d) d2
d (?n - ?p)/(?n ?p)
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(No Transcript)
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Heavy ion collisions Access to high density
nuclear matter
Results from AuAu flow (E/A1-8 GeV)
measurements include constraints in momentum
dependence of the mean field and NN cross-sections
R. Lacey
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Heavy ion collisions Access to low density
nuclear matter
E/Alt100 MeV Multifragmentation Scenario
--Initial compression and energy deposition --
Expansion emission of light particles. --
Cooling formation of fragments -- Disassembly
Model Approaches Dynamical and Statistical
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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BUU Transport theory based on Boltzmann Equations
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Observables in HI collisions
Assume Esym(?)?(? /?0)g
n/p ratios ltEngt, ltEpgt Isotope
distributions Peripheral Collisions Isospin
diffusion
The symmetry term affects the N/Z composition of
the dense region. Stiff ?2 N/ZresNtot/Ztot Sof
t ?0.5 N/ZresltNtot/Ztot
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n/p Experiment 124Sn124Sn 112Sn112Sn E/A50
MeV
Famiano et al
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N-detection neutron wall
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p-detection Scattering Chamber
beam
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n/p Double Ratios (central collisions)
124Sn124SnY(n)/Y(p) 112Sn112SnY(n)/Y(p)
There will be improvements in both data
(analysis) and BUU (1997) calculations.
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Observables in HI collisions
Assume Esym(?)?(? /?0)g
n/p ratios ltEngt, ltEpgt Isotope distributions
Stiff ?2 N/ZresNtot/Ztot Soft ?0.5
N/ZresltNtot/Ztot
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Isotope Distribution Experiment
MSU, IUCF, WU collaboration
SnSn collisions involving 124Sn, 112Sn at E/A50
MeV
Miniball Miniwall4 ? multiplicity arrayZ
identification, Alt4
LASSASi strip CsI array Good E,
position,isotope resolutions
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Measured Isotopic yields
T.X Liu et al. PRC 69,014603
Similar distributions R21(N,Z)Y2(N,Z)/ Y1(N,Z)

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Isoscaling from Relative Isotope Ratios
R21(N,Z) Y2(N,Z)/ Y1(N,Z)
MB Tsang et al. PRC 64,054615
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Isoscaling Observed in many reactions by many
groups.
R21Y2/ Y1
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Derivation of isoscaling from Grand Canonical
ensemble
BE and Zint terms cancel for constant T ?Ratios
of Y (N,Z) from 2 systems observe isoscaling
slopes are related to ? symmetry energy ? source
asymmetry
Reproduced by all statistical and dynamical
multifragmentation models
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Density dependence of symmetry energy
Central collisions of 124Sn 124Sn 112Sn 112Sn
at E/A50 MeV
Need a model to relate a with g.
g0.5-0.85
Tsang et al, PRL, 86, 5023 (2001)
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Observables in HI collisions
Peripheral Collisions Isospin diffusion
N/Z Diffusion? Coulomb? Pre-equilibrium? Theoretic
al observable?
a (112Sn residue) lt a (124Sn residue)
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Isospin Transport Ratio
Non-isospin diffusion effects ?same for A in
AB AA same for B in BA BB
xABxAA? Ri 1. xABxBB ? Ri
-1. xABexperimental or theoretical isospin
observable for system AB
a2CsymDd(1-d)/T d (N-Z)/(NZ)
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
50
Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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Lijun Shi
g1.1
g0.5
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g1.1
g0.5
Lijun Shi
Tsang et al., PRL92(2004)
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Experimental Results
bgt0.8 Y/ybeamgt0.7
a
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Experimental Results
bgt0.8 Y/ybeamgt0.7
Ri
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Constraints on symmetry term in EOS from isospin
diffusion
BUUm Transport theory based on Boltzmann
Equations include momentum dependence in mean
field.
g0.6-1.6
Tsang et al., PRL 92, 062701(2004) Chen et al.,
PRL 94, 032701(2005)
112,124Sn 112,124Sn E/A50 MeV Peripheral
collisions
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Experimental constraints on symmetry energyusing
heavy ion collisions
r/r00.3-1.0 Esym C(r/r0)g Isotope
distributions g0.5-0.85 (simplistic
calculations) Isospin (N/Z) diffusion g0.6-1.5
Can expect significant improvements in these
constraints Expt n/p ratios preliminary, n/p
flow, PP correlations Theory Better transport
calculations
NS properties? Steiner nucl-th0410066 for 1.4
M? RNSgt12 km
.
Experiments at Rare Isotope Accelerator can
provide constraints at higher densities (??O
-2?O)
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Acknowledgements
Theorists W. Friedman (Wisconsin, Madison) P.
Danielewicz (MSU), S. Das Gupta (McGill, Canada),
A. Ono (Tokohu, Japan), L. Shi (MSU), M. Kilburn
(MSU)
Experimentalists HiRA collaboration Michigan
State University T.X. Liu (thesis), M. Famiano
(n/p expt), W.G. Lynch, W.P. Tan, G. Verde, A.
Wagner, H.S. Xu Washington University L.G.
Sobotka, R.J. Charity Inidiana University R.
deSouza, S. Hudan, V. E. Viola