Fusion probability in heavy ion induced reac4ons. G.N. Knyazheva FLNR, JINR Interna5onal Symposium Superheavy Nuclei 2015 Texas, USA, March 2015
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1 Fusion probability in heavy ion induced reac4ons G.N. Knyazheva FLNR, JINR Interna5onal Symposium Superheavy Nuclei 215 Texas, USA, March 215
2 Fusion probability σ ER = σ cap P CN W sur SHE215 2
3 Fusion probability σ ER = σ cap P CN W sur Compe55on between Fusion and Quasifission Z 1 Z 2 Entrance channel mass asymmetry α Mean fissility parameter X m =.75X eff +.25X CN P CN is a func5on of reac5on entrance channel ER and fission cross sec5ons (B n, B f ) Angular distribu5on of fission fragments (A) Prescission neutron mul5plicity (E * ) SHE215 3
4 MED proper4es of excited CN TKE (MeV) Counts <TKE> (MeV) σ 2 TKE (MeV2 ) C + 24 Pb Χ 216 Ra E * = 4.4 MeV CN σ 2 M = 132 (u) Fragment mass (u) <TKE> (MeV) σ 2 TKE (MeV2 ) high-energy componenet of bimodal SF Viola systematics.171 Z 2 /A 1/ fission of hot nuclei SF neutron-induced fission Diffusion model Z 2-2 /A 1/3 1 LDM SHE215 4
5 Double- Arm Time- Of- Flight Time resolu5on 15 ps Mass resolu5on ~2-3 u Energy resolu5on ±2% Angular resolu5on.3 o Spectrometer TOF 1, TOF 2, X 1, X 2, Y 1, Y 2 М 1,2, ТКЕ SHE215 5
6 I.M. Itkis et al., PRC 83 SHE215 6
7 Cold fusion reac4ons Hot fusion reac4ons SHE215 7
8 Mass distribu4ons of fission- like fragments in the Ca- induced reac4on Potential energy (MeV) Ca Th 28 Ds Ca U 28 6 Cn Ca Pu 29 2 Fl Ca Cm 296 Lv Yield (%) = 1.6 /E Ba ss = 1.2 /E Ba s s = 1.3 = Driving poten5als are calculated with NRV code (nrv.jinr.ru) Yield (%) /E Ba ss =.97 /E Ba s s = Fragment mass (u) = SHE215 E.M. Kozulin et al., PRC 9 8
9 Mass distribu4ons of fission- like fragments in Potential energy (MeV) Yield (%) Driving poten5als are calculated with NRV code (nrv.jinr.ru) the Ca- induced reac4on Ca Th 28 Ds Ca U 28 6 Cn = Yield (%) QF half width (u) /E Ba ss = /E Ba ss = Fragment mass (u) Ca Pu 29 2 Fl Ca Cm 296 Lv /E Ba s s = 1.3 /E Ba s s = = 1.2 Ca+ 232 Th E Ca+ c.m. /E 23 8 U Bass = 1. Ca+ 244 Pu Ca+ 2 Cm (MeV) SHE215 E.M. Kozulin et al., PRC 9 9
10 QF proper5es for composite system formed in the reac5ons with 58 Fe and 64 Ni ions 2444 E c.m /E B = E c.m /E B =1.6 TKE (MeV) TKE (MeV ) Mass (u) 58 Fe Pu Y ield % Ni+ 238 U Yield % u 11u Mass (u) SHE215 1
11 Total kine4c energy for asymmetric and symmetric fission- like fragments <TKE> QF asym (MeV) <TKE> QFasym = (Z p +Z t ) 2 /(A p +A t ) 1/ (Z p +Z t ) 2 /(A p +A t ) 1/3 <TKE> (MeV) Ca U Viola systematics Asymmetric fragments Symmetric fragments SHE215 11
12 TKE distribu5on for symmetric fragments E.M. Kozulin et al., PLB 686 SHE215 12
![Fusion probability P CN P CN =P /{1+exp[α(β- E c.m./e B )]} 1 1-1 P CN 1-2 1-3 E.M. Kozulin et al.](/docs-images/78/78244779/images/13-2.jpg ", PRC 9 Ca + 238 U Ca + 244 Pu Ca + 2 Cm 36 S + 238 U Ca + 154 Sm 1-4.92.94.96.98 1. 1.2 1.4 1.6 1.8 1.1 (MeV) SHE215 13")
13 Fusion probability P CN P CN =P /{1+exp[α(β- E c.m./e B )]} P CN E.M. Kozulin et al., PRC 9 Ca U Ca Pu Ca + 2 Cm 36 S U Ca Sm (MeV) SHE215 13
14 Capture, fusion- fission and ER cross sec4on for Cn, Fl, Lv - E B (MeV) - E B (MeV) - E B (MeV) Ca U Ca Pu Ca + 2 Cm σ (mb) σ cap Kozulin et al σ cap Nishio et al. CC-NRV σ(a CN /2±2) σ cap CC-NRV σ(a CN /2±2) σ cap CC-NRV σ(a CN /2±2) σ ER (pb) B f = 5.7 MeV 3n 4n B f = 7.6 MeV 4n 3n 5n B f = 7.7 MeV 4n 3n Excitation energy (MeV) Excitation energy (MeV) Excitation energy (MeV) 3n and 4n channels are from Yu. Ts. Oganessian et al. Phys. Rev. C 7, 6469 SHE215 14
15 MED for the Ti+ 238 U Ti+ 238 U 286 Fl /E B =1. /E B =1.6 Ca+ 244 Pu 292 Fl E c. m. /E B =1.3 B <TKE> (MeV) Yield TKE (MeV) <TKE> (MeV) Yield TKE (MeV) σ 2 TKE (MeV2 ) Mass (u) Mass (u) σ 2 TKE (MeV2 ) Mass (u) SHE215 15
16 Proper5es of mass distribu5ons 2 35 σ(a CN/2 ±2)/σ capture (%) Ca+ 232 Th Ca+ 238 U Ca+ 244 Pu Ca+ 2 Cm Ti+ 238 U QF half width (u) Ca Th Ca U Ca Pu Ca + 2 Cm Ti U (MeV) (MeV) SHE215 16
17 Fusion probability for the Ti+U reac5on Ti+ 238 U Counts Counts /E B =1.6 /E B = TKE (MeV) P CN Ca U Ca Pu Ca + 2 Cm 36 S U Ca Sm Ti U SHE215 17
18 Capture and upper limit for fusion- fission cross sec5ons Ca Pu 292 Fl - E B (MeV) Ti U 286 Fl - E B (MeV) Factor E* CN (MeV) σ cap CC-NRV σ(a CN /2±2) E * CN (MeV) SHE215 18
19 Fusion probabili5es at energy above the barrier 1 P Ca+ 154 Sm 26 Mg+ 2 Cm 36 S+ 238 U Ca+ 238 U Ca+ 244 Pu Ca+ 2 Cm Ti+ 238 U 64 Ni+ 238 U Xm SHE215 19
20 Symmetric binary fragments formed in heavy ion induced reac5ons originate in fusion- fission as well as QF processes. Approach based on the analysis of mass and energy distribu5ons of fission- like fragments allows to deduce the upper limit of fusion- fission part. Fusion probabili5es have been es5mated for reac5ons with different entrance channel proper5es. It was found that P CN exponen5ally decreases with increasing the mean fissility parameter X m. At the transi5on from the Ca+ 244 Pu to Ti+ 238 U reac5ons the fusion cross sec5on drops by one order of magnitude. SHE215 2
21 I.M. Itkis, M.G. Itkis, G.N. Knyazheva, E.M. Kozulin, K. Novikov FLNR, JINR, Russia E. Vardaci INFN, Napoli, Italy S. Heinz GSI, Darmstadt, Germany W. Trzaska JYFL, Jyvaskyla, Finland SHE215 21
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