pre-equilibrium emission in formation of ti* · pre-equilibrium emission in formation of 46ti* ......
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Pre-equilibrium Emissionin formation of 46Ti*
Magda CicerchiaDipartimento di Fisica e Astronomia – Università di PadovaLaboratori Nazionali di Legnaro – INFN
3rd year of PhD Admission Exam
Outline
• Clustering & Pre-equilibrium in Light Nuclei
• The Experiment
• The Statistical Code: GEMINI++
• The Dynamical Codes: TWINGO and AMD
• Preliminary Results
2Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
Nuclear Clustering1968: Ikeda
a-cluster structure
observed in 2N=2Z nuclei at E* close to the a-decay threshold
{W. Von Oertzen et al. Phys. Rep. 432 (2006) 43
M. Freer et al. , Rep. Progr. Phys. 70 (2007) 2149
J. P. Ebran te al. , Nature 487 (2012) 341
P.E. Hodgson, E. Běták, Phys. Rep. 374 (2003) 1-89}
In light nuclei at drip-lines, clustering mightbe the preferred structural mode
Renewed interest in nuclear clustering due to the study of neutron-rich and exotic weakly-
bound nuclei
3Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
How to study the Clustering effects on reaction dynamics?
{E. Běták EPJ Web of Conf. 21 (2012) 09004}Search for cluster structure effects
studying the Pre-equilibrium Particles Emission
α-cluster
pre-formed inside nuclear matter formed in dynamical part of the reaction
Central Reaction
levap
𝐸𝐶𝑀 > 𝐵𝐶 ⟹ 𝜎𝑟𝑒𝑎𝑧 =
ℓ
𝜎𝑟𝑒𝑎𝑧 ℓ =𝜋
𝑘2
0
∞
(2ℓ + 1)𝑇ℓ
Termalizzation
{Pre-equilibrium Emission}
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CN Formation
CN Decay
The Experiment: Reactions Main Characteristics
Entrance channel
Ebeam, lab 𝜽𝒈𝒓𝒂𝒛𝒊𝒏𝒈 CNMass
Asymm𝝈𝒇𝒖𝒔 E* Lab. Vel.
E.R. Distrib.
𝜽𝒍𝒂𝒃
Beam + Target
MeV
MeV/u
deg mb MeV cm/ns deg
16O + 30Si 128 8 8,8 46Ti 0,30107
098,4 1,37 0 – 30
16O + 30Si 111 7 10,1 46Ti 0,30108
188,0 1,28 0 – 30
18O + 28Si 126 7 9,0 46Ti 0,22111
098,5 1,44 0 – 28
19F + 27Al 133 7 8,9 46Ti 0,17110
0130,5 1,52 0 – 28
same beam velocity
5Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
same pre-equilibrium component
RESIDUE identification
LCP identification
same CN Excitation Energy same statistical component
Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
Target Contamination
TAR
GETS o
f F.CA
MER
A
Inclusive Experimental
Plot
Gemini Simulation Plot: 30Si target Gemini Simulation Plot: 16O target
6
Good Events Selection
Correlation between the longitudinal momentum and total charge
Correlation between the laboratory energy and charge
7Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
Good Events Selection
Correlation between the longitudinal momentum and total charge
Ztot > 70% Zp+ZT
𝒒𝒛
𝒒𝒃𝒆𝒂𝒎
<1.3
Correlation between the laboratory energy and charge
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Residue Selection7 MeV/u
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The Statistical Code: GEMINI++Simulate the decay of hot nuclei formed in fusion/quasi-fusion reaction.
Hauser-Feshbach ModelWeisskopf Evaporative Theory
Quantum Description of Angular Momentum
𝑊𝛽 ∝ඵ ෨ℓ𝑇ℓ𝜌𝐵 𝐸∗𝐵, 𝐽𝐵 𝑑𝜀𝑏𝑑𝜙
R. J. Charity, Phys Rev C 82 (2010) 014610
෨ℓ = 2ℓ + 1
• Standalone when a good selection of central events can be performed;
• Afterburner (after a dynamical code) to produce secondary particles distributions from primary fragments -> to be compared with exp data.
Effect of the Experimental filter on different systems
p a
nd
αm
ult
iplic
itie
sin
4π
vs. g
eo
Re
sid
ue
Dis
trib
uti
on
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The Dynamical CodesTWINGO→ based on the Stochastic Mean Field Approximation {M. Colonna et al., Nucl. Phys. A 642, 449 (1998)}
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TEST PARTICLE METHOD → describeeach nucleons as TEST PARTICLES subjectto a mean field in a phase-space lattice
16O
+3
0Si @ 1
11
MeV
AMD→ describes the cluster structure of the interacting particles. {A. Ono, Phys. Rev. C59, 853 (1999)}
16O
+3
0Si @ 1
11
MeV
takes into account the particle-particle correlations.
based on a Stochastic equation of motion for the Gaussian
wave-packets representing the colliding nucleons
Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
Preliminary Results
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Multiplicity
Summary and Perspective• Looking at the α-decay channel where
(in a quasi-inclusive mode) the proton and alpha spectra have a quasi-statistical shape, only some little differences are evidenced between the four systems due to the interplay between evaporative and fast emission channels. → Starting point to NEW EXPERIMENTS at HIGHER ENERGIES
• From the multiplicity spectra differences are observed, which make it interesting to study in a more detailed way some specific decay channel, comparing them for the four systems and to their relative model predictions.
➢ Study on particle-particle correlations will beperformed, selecting specific decay channels (1α,2α, 3α …) to get a better insight on the reactioninterplay.
➢ The AMD calculations are still in progress: furthercalculations are ongoing for all systems, changingsame important parameter, as clustering pre-formation parameter.
➢ To better disentangle the pre-equilibrium emission,it is planned to use the Moscow Pre-equilibriumModel based on the Hybrid model.
This model takes into account a pre-equilibrium stage before asecond thermalized emission stage. In an upgrade version it isalso possible to take into account possible clusters pre-formation in the colliding partners (especially the projectile).
{O. V. Fotina et al., Phys. Atom. Nucl. 73 (2010) 1317c.}12Magda Cicerchia – 103° Congresso Nazionale della SIF – Trento 11-15/09/2017
NUCL-EX CollaborationM. Cicerchia1,2, T. Marchi3, F. Gramegna1, M. Cinausero1, J. Mabiala1, D. Fabris4, A. Caciolli2,4,G. Collazzuol2,4, D. Mengoni2,4, M. Degerlier5, L. Morelli6, M. Bruno6, M. D’Agostino6, S. Barlini7,M. Bini7, G. Pasquali7, S. Piantelli7, G. Casini7, G. Pastore7, D. Gruyer7, P. Ottanelli7, S.Valdré7, N. Gelli7,A. Olmi7, G.Poggi7, E. Vardaci8, I. Lombardo8, D. Dell’Aquila8, S. Leoni9, N. Cieplicka9, B. Fornal10.
¹INFN Laboratori Nazionali di Legnaro, Legnaro (PD), Italia.2Dipartimento di Fisica e Astronomia, Univ. di Padova, Padova, Italia.
3KU Leuven, Department of Physics and Astronomy Instituut voor Kern- en Stralingsfysica, 3001 Leuven, Belgium.
4INFN Sezione di Padova, Padova, Italia.5Science and Art Faculty, Physics Department, Nevsehir Haci Bektas Veli Univ., Nevsehir, Turkey.
6INFN Sezione di Bologna e Dipartimento di Fisica e Astronomia, Univ. di Bologna, Bologna, Italia.7INFN Sezione di Firenze e Dipartimento di Fisica e Astronomia, Univ. di Firenze, Firenze, Italia.
8 INFN Sezione di Napoli e Dipartimento di Fisica, Univ. Federico II Napoli, Napoli, Italia.9INFN Sezione di Milano e Dipartimento di Fisica, Univ. di Milano, Milano, Italia.
10Institute of Nuclear Physics, Polish Academy of Sciences Krakow, Poland.
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