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IWM-EC, Catane May 2014
A. Chbihi 1
Recent results from INDRA
Abdou Chbihi GANIL
For the INDRA collaboration
Recent results from INDRA
• Introduction to the INDRA talks • Study of the reaction mechanisms from fission to
multifragmentation • Symmetry energy : INDRA-VAMOS experiments • conclusions
IWM-EC, Catane May 2014
A. Chbihi 2
Time evolution of central collisions at intermediate energies
IWM-EC, Catane May 2014
A. Chbihi 3
Pre-equilibrium, stopping, compression Flow, expansion Fragmentation Secondary
decays
M. Colonna, A. Ono and J. Rizzo PRC82, 054613 (2010)
Explore the EOS under laboratory controlled conditions
HIC is Femtonovae which mimic Supernovae
Key words : stopping, collective flow, clusterization
ECT* 2014 : Simulating the Supernova Neutrinosphere with Heavy Ion Collisions
Time evolution of central collisions at intermediate energies
IWM-EC, Catane May 2014
A. Chbihi 4
Pre-equilibrium, stopping, compression Flow, expansion Fragmentation Secondary
decays
M. Colonna, A. Ono and J. Rizzo PRC82, 054613 (2010)
Nuclear Stopping : O. Lopez talk • Minimum of stopping around the Fermi energy • Full stopping is not achieved • Transparency due to in-medium effect • Determination of experimental mean free path λNN
Time evolution of central collisions at intermediate energies
IWM-EC, Catane May 2014
A. Chbihi 5
Pre-equilibrium, stopping, compression Flow, expansion Fragmentation Secondary
decays
M. Colonna, A. Ono and J. Rizzo PRC82, 054613 (2010)
Radial flow: J. D. Frankland talk • Influence of radial collective flow on multif partitions in central Xe+Sn & Ta+Zn
Time evolution of central collisions at intermediate energies
IWM-EC, Catane May 2014
A. Chbihi 6
Pre-equilibrium, stopping, compression Flow, expansion Fragmentation Secondary
decays
M. Colonna, A. Ono and J. Rizzo PRC82, 054613 (2010)
isospin dependence of nuclear level density parameter : G. Ademard talk
• Experiment coupling INDRA + Vamos, • Ar+Ni @ E/A ≈13 MeV à92-108Pd excited at E*/A ≈ 3 MeV
Internal excitation energy of the fragments : E*/A ≈ 3 MeV
outline
• Introduction to the INDRA talks • Study of reaction mechanisms from fission to
multifragmentation • Symmetry energy : INDRA-VAMOS experiments • conclusions
IWM-EC, Catane May 2014
A. Chbihi 7
From fission to multifragmentation
E/A=8 MeV
E/A=29 MeV
• Survey of heavy nuclei up to Z≥80 (77% tot)
• Suggests fusion of the colliding nuclei but massive transfer is not excluded
• High LCP multiplicities : dissip colli • minima at Z = 10
IWM-EC, Catane May 2014
8 A. Chbihi A.C. et al., JP: Conf. Ser. 420, 012099 (2013).
Study of the evolution of reaction mechanism occurring in HIC from low to IE • Tool : 4π detector • What can we Learn ?
ü Transition from low energy (DIC, fusion-fission) to IE (multifragmentation)
ü Bring insight for search for SHE ü Stringent constraint on statistical &
dynamical models
Xe+Sn @ E/A=8-29 MeV, CC
Fusion cross section
(A.MeV)BeamE0 5 10 15 20 25 30 35 40
(m
b)
fus
!
0
200
400
600
800
1000
1200
1400
1600
Fus!
Maximum around 18-20 MeV/A σfus : 1.2 b
IWM-EC, Catane May 2014
9 A. Chbihi
From fission to multifragmentation
Einc /A (MeV)
σfu
s (m
b)
IWM-EC, Catane May 2014
10 A. Chbihi
From fission to multifragmentation
fission
3-frag prob
abili
ty
Beam energy (MeV/A)
Decomposition on 2, 3, 4+ fragments (Z>10)
Exit channel probability vs beam energy
From fission to multifragmentation
IWM-EC, Catane May 2014
A. Chbihi 11
D. Gruyer et al., EPJ Web of Conferences 62, 07006+ (2013) and submitted to Physical Review Letters (arXiv:1309.7779)
Excitation energy (MeV/A)
Life
tim
e (fm
/c)
Beam energy (MeV/A)
Fission time deduced from Coulomb trajectory calculations
2nd fission occurs faster and faster as E* increases
Undistinguishable from simultaneous 3-frag breakup above E*/A ≈4 MeV
Mean life time of 2nd fission
See poster and short talk of D. Gruyer… 3-frag exit channel : identify fission sequence by comparison with TKE systematics (Viola)
Energy spectra of proton alpha in coincidence with 2-, -3 and 4-frag 129Xe + (nat)Sn @ E/A=15 MeV
• Maxwellian shape • Same slop for 2, 3, and 4 fragments à same temperature àsame origin • overproduction at Ecm <10, increasing with Mfrag à secondary decay
IWM-EC, Catane May 2014
12 A. Chbihi
proton alpha
Ecm/A (MeV) Ecm/A (MeV)
dσ/d
Ecm
N
orm
aliz
ed dσ
/dE
cm
From fission to multifragmentation
IWM-EC, Catane May 2014
A. Chbihi 13
VrelRatio62Entries 17697Mean 4.037RMS 1.829
/ ndf 2χ 12.79 / 29a 2.6± 3 b 0.00535± 0.02423 c 0.0106± 0.3338 N 0.928± 4.543 Cb 0.031± 2.468 T 0.0685± 0.4797
Vrel(cm/ns)0 1 2 3 4 5 6 7 8
1+R
(Vre
l)
0.20.40.60.8
11.21.41.61.8
2VrelRatio62
Entries 17697Mean 4.037RMS 1.829
/ ndf 2χ 12.79 / 29a 2.6± 3 b 0.00535± 0.02423 c 0.0106± 0.3338 N 0.928± 4.543 Cb 0.031± 2.468 T 0.0685± 0.4797
Correlation function frag-LCP
VrelDiff62Entries -299656Mean 341.1RMS 338.8
Vrel(cm/ns)0 1 2 3 4 5 6 7 8
diffe
renc
e fu
nctio
n
-600-400-200
0200400600800
1000 VrelDiff62Entries -299656Mean 341.1RMS 338.8
Difference function frag-LCP
hsignalEntries 100Mean 3.474RMS 0.6502
/ ndf 2χ 7.4 / 25N 126.1± 1281 B(MeV) 0.55± 13.57 T(MeV) 0.631± 5.269
Vrel (cm/ns)1 2 3 4 5 6
0200400600800
100012001400
hsignalEntries 100Mean 3.474RMS 0.6502
/ ndf 2χ 7.4 / 25N 126.1± 1281 B(MeV) 0.55± 13.57 T(MeV) 0.631± 5.269
deduced velocity spectra
Z (= 62) - α
Xe+Sn @ E/A=12 MeV Secondary decay contribution using fission frag-LCP correlation function
Mtot
Msec
Secondary and total multiplicity vs beam energy
Vrel(cm/ns)
1+R
(Vre
l) N
C -
NN
C
α
Cou
nt(V
rel)
From fission to multifragmentation
IWM-EC, Catane May 2014
A. Chbihi 14
Secondary decay contribution for fission /multifragmentation fragments
Mtot
Msec
fission
multifrag
S. Hudan et al., PRC67, 064613 (2003)
Decrease in Msec for Ebeam/A > 39 MeV reflects saturation on excitation energy
VrelRatio62Entries 17697Mean 4.037RMS 1.829
/ ndf 2χ 12.79 / 29a 2.6± 3 b 0.00535± 0.02423 c 0.0106± 0.3338 N 0.928± 4.543 Cb 0.031± 2.468 T 0.0685± 0.4797
Vrel(cm/ns)0 1 2 3 4 5 6 7 8
1+R
(Vre
l)
0.20.40.60.8
11.21.41.61.8
2VrelRatio62
Entries 17697Mean 4.037RMS 1.829
/ ndf 2χ 12.79 / 29a 2.6± 3 b 0.00535± 0.02423 c 0.0106± 0.3338 N 0.928± 4.543 Cb 0.031± 2.468 T 0.0685± 0.4797
Correlation function frag-LCP
VrelDiff62Entries -299656Mean 341.1RMS 338.8
Vrel(cm/ns)0 1 2 3 4 5 6 7 8
diffe
renc
e fu
nctio
n
-600-400-200
0200400600800
1000 VrelDiff62Entries -299656Mean 341.1RMS 338.8
Difference function frag-LCP
hsignalEntries 100Mean 3.474RMS 0.6502
/ ndf 2χ 7.4 / 25N 126.1± 1281 B(MeV) 0.55± 13.57 T(MeV) 0.631± 5.269
Vrel (cm/ns)1 2 3 4 5 6
0200400600800
100012001400
hsignalEntries 100Mean 3.474RMS 0.6502
/ ndf 2χ 7.4 / 25N 126.1± 1281 B(MeV) 0.55± 13.57 T(MeV) 0.631± 5.269
deduced velocity spectra
Z (= 62) - α
Xe+Sn @ E/A=12 MeV
Vrel(cm/ns)
1+R
(Vre
l) N
C -
NN
C
α
Cou
nt(V
rel)
outline
• Introduction to the INDRA talks • From fission to multifragmentation • Symmetry energy : INDRA-VAMOS experiments • conclusions
IWM-EC, Catane May 2014
A. Chbihi 15
Exploring the symmetry energy with HIC
• information on the EOS: need to study fragments at
freeze-out, BEFORE secondary decays : • But remember: observables measured after
secondary decay (need back-tracing) – isotopic distributions, – Isoscaling
IWM-EC, Catane May 2014
A. Chbihi 16
€
E(ρ,δ) /A = E(ρ,δ = 0) /A + S(ρ) ⋅ρn − ρp
ρn + ρp
&
' ( (
)
* + +
2
IWM-EC, Catane May 2014
A. Chbihi 17
Accessing the symmetry energy
From isotopic distribution…
AMD simulations: 48Ca+48Ca and 40Ca+40Ca, E/A=35 MeV and b > 6 fm Primary fragment distributions
A. Ono et al., Phys. Rev. C70, 041604(R) (2004)
− lnY (N,Z ) = ξ (Z )N +η(Z )+ζ (Z ) (N − Z )2
N + Z
ζ (Z )∝1/σ ∝Csym (Z ) /T
Y2 (N ,Z )Y1(N ,Z )
=C exp(αN +βZ)α = Δµn /T,β = Δµp /Tα4Δ =Csym (Z) /T
Δ = ( Z<A1>)2 − ( Z
<A2>)2
isocaling parameter
From isoscaling…
-lnY
(N,Z
)
Aprimary
IWM-EC, Catane May 2014
A. Chbihi 18
Effects of secondary decays
• After decay : Cannot distinguish between the two interactions (soft/stiff)
• Secondary decays need to be taken into account for comparison to experimental data
• Statistical model
• Or/and : experimentally provide the primary distributions
primary GEMINI : secondary
isoscaling
Isotopic dist ζ (Z)
α4Δ
Zprimary ZPLF
IWM-EC, Catane May 2014
A. Chbihi 19
INDRA
Q1 Q2
Dipole
beam
detection
IWM-EC, Catane May 2014
A. Chbihi 20
INDRA
Q1 Q2
Dipole
beam
detection
VAMOS PLF (E503) or residues (E494s) High Isotopic Resolution
INDRA in coincidence LCP /IMF event characterization (b, excitation energy)
IWM-EC, Catane May 2014
A. Chbihi 21
Experiments coupling INDRA-VAMOS Symmetry energy experiments • 40Ca + 40Ca @ E/A = 35 MeV • 40Ca + 48Ca @ E/A = 35 MeV isospin diffusion • 48Ca + 40Ca @ E/A = 35 MeV isospin diffusion • 48Ca + 48Ca @ E/A = 35 MeV For Bρ (Tm)= 2.2 , 2.12 , 1.957 , 1.80 , 1.656 , 1.523 ,
1.401 , 1.289 , 1.186 , 1.091 , 1.004 , 0.923 , 0.849 , 0.782 , 0.719 , 0.661
VAMOS Spectrometer
INDRA, 4π detector
Isotopic distributions of PLF
IWM-EC, Catane May 2014
A. Chbihi 22
• Broad APLF distributions (more than 13 isotopes) • Sensitive to the n-richness of the system • N/Z up to 1.58 (11% N/Z 48Ca) very exotic
Reconstruction of primary fragments
IWM-EC, Catane May 2014
A. Chbihi 23
ecos-1 -0.5 0 0.5 1
Y(ar
b.un
it)
1
10
210
310
v//(cm/ns)-10 -5 0 5
(cm
/ns)
perp
v -5
0
5
10
1
10b)
ecos-1 -0.5 0 0.5 1
Y(ar
b.un
it)
1
10
210
310no constraint
>0CMvVrel>vI
rel>0, vCMv
v//(cm/ns)-10 -5 0 5
(cm
/ns)
perp
v -5
0
5
10
1
10a)
proton alpha ZPLF = 20
Corrected for the reaction plan
Apr −Mn = APLF + Aii=1
MLCP
∑
Zpr = ZPLF + Zii=1
MLCP
∑V//
cm > 0For
IWM-EC, Catane May 2014
A. Chbihi 24
Can be used as an observable Evaluation of the effect of neutron emission on the width : AMD+GEMINI It will be used as correction to the data.
reconstruction of primary fragments Apr −Mn = APLF + Ai
i=1
MLCP
∑• Up to 20 isotopes • Average value and σ
increases with Zpr • Small differences for
light Zpr • Strong dependence on
the n-richness of the system for heavy fragments
• small dependence on the n-richness of the target
Apr −Mn
Staggering effect for PLF and primary frag
IWM-EC, Catane May 2014
A. Chbihi 25
The staggering is determined by secondary evaporative stage No sensitivity to dynamics.
IWM-EC, Catane May 2014
A. Chbihi 26
Neutron influence on the width of isotopic distributions
Apr −Mn = APLF + Aii=1
MLCP
∑
Comparison of the width of iso-dist AMD (hot) and AMD-N(GEMINI)
4040 4848
wid
th
Differences in the width between AMD and AMD-N as uncertainties when applied to data
Symmetry energy term vs the excitation energy comparison with AMD-N(Gemini), b>6 fm
IWM-EC, Catane May 2014
A. Chbihi 27
σ =1N
(exp− calc)2i∑
From width of isotopic dist
Temperature obtained from slope of p-spectra 4-6 MeV Values of Csym around 30 MeV Consistent with the values of saturation density The method is validated and should be applied to more dissipative collisions
IWM-EC, Catane May 2014
A. Chbihi 28
0 10 20 30 40 50 60
5
10
15
20
25
30
35
40
45
50
-310
-210
-110
1
10
210
310
N=20
N=28
N=50
Z=20
Z=28
0 10 20 30 40 50 60
5
10
15
20
25
30
35
40
45
50
-310
-210
-110
1
10
210
310
N=20
N=28
N=50
Z=20
Z=28
Production of exotic nuclei beyond the drip lines
48Ca+48Ca PLF
primary
Spectroscopy of 29Si
IWM-EC, Catane May 2014
A. Chbihi 29
29Si(p,γ)30P
29Si*
32P->p+31Si* ->n+ 30Si* ->29Si*+n
• Experimental reconstruction (correlation techniques) • Study excited states of exotic
nuclei • Study cluster states in nuclei (in progress)
IWM-EC, Catane May 2014
A. Chbihi 30
• Experimental study of Xe+Sn @ E/A=8-29 MeV • Determination of fusion cross section, max cx = 1.2 b, around E/
A=18-20 MeV • Life time of the 2nd fission was determined : simultaneous break
up above E*/A = 4 MeV. • Estimation of secondary decay for proton and alpha particle
shows continuous evolution from fission to multifragmentation
IWM-EC, Catane May 2014
A. Chbihi 31
Summary and Conclusions
• Exploration of Esym(ρ) with HI-Collisions • Observable : isotopic distribution of frag & isoscaling • Accessing the symmetry energy
– Take into account the secondary effects – Primary experimental isotopic distributions
• Zprimay distributions were reconstructed experimentally • Aprimary – neutrons distributions reconstructed exp. but need to take into account
the effect of neutron emission on the Apr – neutrons distributions • Staggering effects are washed with this reconstruction
• Both methods (isoscaling and isotopic distributions) can be used to extract the symmetry energy term if applied for primary quantities
• Esym was extracted for peripheral collisions, the values obtained are consistent with the value at normal density :
• work is in progress for central collisions
IWM-EC, Catane May 2014
A. Chbihi 32
Summary and Conclusions
perspectives
IWM-EC, Catane May 2014
A. Chbihi 33
perspectives
IWM-EC, Catane May 2014
A. Chbihi 34
IWM-EC, Catane May 2014
A. Chbihi 35
A. Chbihi, G. Verde, E. Bonnet, J.D. Frankland, M. Boisjoli, P. Marini, J. Moisan, B. Sorgunlu, F. Rejmund, M. Rejmund, J.P. Wieleczko,
Sarmishtha Bhattacharya, P. Napolitani GANIL, CEA, IN2P3‑CNRS, FRANCE
INFN, Catania, ITALY B. Borderie, E. Galichet, N. Le Neindre, M.F. Rivet
IPN Orsay, IN2P3‑CNRS, FRANCE R. Dayras, L. Nalpas, C. Volant
DAPNIA/SPhN, CEA Saclay, FRANCE D. Guinet, P. Lautesse
Institut de Physique Nucléaire, IN2P3‑CNRS et Université, Caen Cedex, FRANCE R. Bougault, O. Lopez, B. Tamain, E. Vient
LPC. IN2P3‑CNRS. ENSICAEN et Université, Caen Cedex, FRANCE A. Ono
Department of Physics, Tohoku University, Sendai, JAPAN R. Roy
Université de Laval, Quebec, CANADA W. Trautmann, J. Lukasik
GSI, D-64291 Darmstadt, GERMANY E. Rosato, M. Vigilante
Dipartimento di Scienze Fisiche, Un. Federico II, Napoli, ITALY M. Bruno, M. D’Agostino, E. Geraci, G. Vannini
INFN and Dipartimento di Fisica, Bologna ITALY L. Bardelli, G. Casini, A. Olmi, S. Piantelli, G. Poggi
INFN and Dipartimento di Fisica, Firenze,ITALY F. Gramegna, G. Montagnoli
INFN, Laboratori Nazionali di Legnaro, ITALY U. Abbondanno
INFN, Trieste, ITALY M. Parlog, G. Tabacaru
National Institute for Physics and Nuclear Engineering, Bucarest‑Maguerele, ROMANIA Saila. Bhattacharya, G. Mukherjee
Variable Energy Cyclotron Centre, 1/AF Bidhan Nagar, Kolkata, INDIA