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Mid-peripheral collisions : PLF* decay Statistical behavior isotropy v H > v L v L > v H P T TLF * PLF * 1 fragment v L > v H forward v H > v L backward Sylvie Hudan, Indiana University
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Experimental setup Miniball/Miniwall Beam LASSA : Mass resolution up to Z=9 7 lab 58 114 Cd + 92 Mo at 50 A.MeV Detection of charged particles in 4 Projectile 48 Ring Counter : Si (300 m) – CsI(Tl) (2cm) 2.1 lab 4.2 1 unit Z resolution Mass deduced † † : Modified EPAX K. Sümmerer et al., Phys. Rev. C42, 2546 (1990)
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Events with two fragments from a PLF * ZHZH ZLZL ZHZH ZLZL PLF * v L > v H, forward v H > v L, backward
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Anisotropy of PLF* decay 6 N C 10 Different charge splits more asymmetric split for the backward case Different alignments more alignment for the backward case B. Davin et al., Phys. Rev. C65, 064614 (2002) Different relative velocities higher v rel for the backward case
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Asymmetry of the breakup : Sensitivity to v PLF* 6 N C 10 v projectile = 9.45 cm/ns More asymmetric Z distribution for the backward case Higher asymmetry at high v PLF* (low E *,J) For all v PLF*, asymmetry for the backward case An other degree of freedom? v L > v H v H > v L v PLF* 9.2 8.9 8.3 8.6 E *,J x100 x20 x2 x80 x10 x1 B. Davin et al., Phys. Rev. C65, 064614 (2002)
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To summarize… The forward and backward cases are different : Forward emission is consistent with standard statistical emission Backward emission is consistent with dynamical decay Different charge split dynamical has higher asymmetry Different alignment dynamical is more aligned Different relative velocity for the same Z L dynamical has higher v rel Different Z distribution for a given (E*,J)
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Well-defined PLF* : Z PLF* and v PLF* Same correlation expected if v PLF* and E* correlated More dissipation and fluctuations as Z PLF* decreases For a given size, less dissipation for the dynamical case v L > v H v H > v L dynamical statistical dynamical
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Opening channels Dynamical emission opens at higher v PLF*, i.e. lower E* Up to 10% of the cross-section in the 2 fragment decay v L > v H v H > v L 1 fragment (x 0.1)
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Asymmetry and Coulomb barrier Higher asymmetry for the dynamical case Coulomb barrier lower Dynamical case appears at lower E* 35 Z PLF* 39
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Energy in the fragments More kinetic energy in the 2 fragments for the dynamical case For a given v PLF*, difference of 20-30 MeV
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A statistical picture : Viola systematics Comparison statistical / Viola At large v PLF*, statistical Viola Deviation for low v PLF* Temperature ? Comparison dynamical / Viola For all v PLF*, dynamical >>Viola More compact shape needed for the dynamical case
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Estimation of the temperature MeasuredEstimated (Viola systematic) Temperatures between 0 and 10-12 MeV These temperatures are consistent with T=7 MeV from the isotopes in LASSA (for 30 Z PLF* 46) Statistical case : v L > v H
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To summarize… v PLF* as a good observable : Same correlation (v PLF* )- v PLF* for statistical and dynamical cases Dynamical case appears at higher v PLF* Coulomb barrier effect v PLF* (TKE) dynamical > (TKE) statistical by 20-30 MeV Statistical Viola at high v PLF* and deviation with increasing v PLF* Temperature Dynamical case always underestimated by Viola
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A law : energy conservation For a selected v PLF* E* Kinetic energy in the fragments Higher for the dynamical case Q value Evaporated particles + + PLF * E*, BE PLF* ZHZH TKE H, BE H ZLZL TKE L, BE L TKE evap, BE evap
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“Missing” energy : Q value? Same Q value in both cases for all v PLF* (MeV)
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“Missing” energy : evaporation? Multiplicity of Z=2 emitted forward to the PLF* (in LASSA) Higher average multiplicities for the statistical case Deviation of 10-20% v L > v H v H > v L statistical dynamical
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Energy conservation : balance v PLF* fixed Fixed Suggests a longer time scale in the statistical case for Z=2
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A picture of the process TKE Time Saddle-point Scission-point Q Coulomb Collective “Extra” energy Initial kinetic energy? Fluctuations of TKE (Q+Coulomb)-TKE correlation
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TKE : width of the distribution More fluctuations in the dynamical case consistent with an additional kinetic energy at the scission-point
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Conversion : Q + Coulomb to TKE Statistical TKE Q + Coulomb Dynamical TKE Q + Coulomb + E 0
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Conclusions : building a coherent picture We observed… We interpreted… Correlation (v PLF* )- v PLF* v PLF* good selector for E* Correlation v PLF* - M evap Different TKE for all v PLF* Initial TKE at scission Different TKE for all v PLF* for the dynamical case is Correlation TKE-(Q+Coulomb) larger than the statistical case Multiplicities of evaporated Z=2 scission,dynamical < scission,statistical
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Collaboration S. Hudan, B. Davin, R. Alfaro, R. T. de Souza, H. Xu, L. Beaulieu, Y. Larochelle, T. Lefort, V. Viola and R. Yanez Department of Chemistry and Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405 R. J. Charity and L. G. Sobotka Department of Chemistry, Washington University, St. Louis, Missouri 63130 T. X. Liu, X. D. Liu, W. G. Lynch, R. Shomin, W. P. Tan, M. B. Tsang, A.Vander Molen, A. Wagner, H. F. Xi, and C. K. Gelbke National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824
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