Abstract
Using the stochastic Langevin model coupled with a statistical decay model, we study nuclear dissipation properties at large deformations with excitation energy at scission (\(E_{\mathrm {sc}}^*\)) measured in experiments. It is found that the postsaddle dissipation strength required to fit \(E_{\mathrm {sc}}^*\) data is 12 \(\times 10^{21}\) s\(^{-1}\) for \(^{254,256} \)Fm and 6 \(\times 10^{21}\) s\(^{-1}\) for \(^{189}\)Au, which has a smaller postsaddle deformation than the former heavy nucleus, showing a rise of nuclear dissipation strength with increasing deformation.
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References
D. Hilscher, H. Rossner, Ann. Phys. 17, 471 (1992). doi:10.1051/anphys:01992001706047100
J.U. Andersen, J. Chevallier, J.S. Forster et al., Attosecond time delays in heavy-ion induced fission measured by crystal blocking. Phys. Rev. C 78, 064609 (2008). doi:10.1103/PhysRevC.78.064609
W.Q. Shen, J. Albinski, A. Gobbi et al., Fission and quasifission in U-induced reactions. Phys. Rev. C 36, 115 (1987). doi:10.1103/PhysRevC.36.115
J. Velkovska, C.R. Morton, R.L. McGrath et al., Quasifission reactions as a probe of nuclear viscosity. Phys. Rev. C 59, 1506 (1999). doi:10.1103/PhysRevC.59.1506
E. Williams, D.J. Hinde, M. Dasgupta et al., Evolution of signatures of quasifission in reactions forming curium. Phys. Rev. C 88, 034611 (2013). doi:10.1103/PhysRevC.88.034611
A.K. Nasirov, G. Giardina, G. Mandaglio et al., Quasifission and fusion-fission in reactions with massive nuclei: comparison of reactions leading to the Z = 120 element. Phys. Rev. C 79, 024606 (2009). doi:10.1103/PhysRevC.79.024606
Y. Aritomo, Fusion hindrance and roles of shell effects in superheavy mass region. Nucl. Phys. A 88, 034611 (2013). doi:10.1016/j.nuclphysa.2006.09.018
J. Benlliure, E. Casarejos, J. Pereira et al., Transient and quasistationary dissipative effects in the fission flux across the barrier in 1A GeV \(^{238}\)U on deuterium reactions. Phys. Rev. C 74, 014609 (2006). doi:10.1103/PhysRevC.74.014609
H. Singh, K.S. Golda, Santanu Pal et al., Role of nuclear dissipation and entrance channel mass asymmetry in pre-scission neutron multiplicity enhancement in fusion-fission reactions. Phys. Rev. C 78, 024609 (2008). doi:10.1103/PhysRevC.78.024609
R. Sandal, B.R. Behera, V. Singh et al., Effect of N/Z in pre-scission neutron multiplicity for \(^{16,18}\)O + \(^{194,198}\)Pt systems. Phys. Rev. C 87, 014604 (2013). doi:10.1103/PhysRevC.87.014604
J. Sadhukhan, S. Pal, Critical comparison of Kramers’ fission width with the stationary width from the Langevin equation. Phys. Rev. C 79, 064606 (2009). doi:10.1103/PhysRevC.79.064606
W. Ye, Heavy-ion versus \(^3\)He/\(^4\)He fusion-fission reactions: Angular momentum dependence of dissipation in nuclear fission. Phys. Rev. C 84, 034617 (2011). doi:10.1103/PhysRevC.84.034617
V. Singh, B.R. Behera, Maninder Kaur et al., Neutron multiplicity measurements for \(^{19}\)F + \(^{194,196,198}\)Pt systems to investigate the effect of shell closure on nuclear dissipation. Phys. Rev. C 87, 064601 (2013). doi:10.1103/PhysRevC.87.064601
Y. Ayyad, J. Benlliure, E. Casarejos et al., Proton-induced fission of \(^{181}\)Ta at high excitation energies. Phys. Rev. C 89, 054610 (2014). doi:10.1103/PhysRevC.89.054610
P. Fröbrich, I.I. Gontchar, Langevin fluctuation-dissipation dynamics of hot nuclei: prescission neutron multiplicities and fission probabilities. Nucl. Phys. A 556, 281 (1993). doi:10.1016/0375-9474(93)90352-X
K. Pomorski, B. Nerlo-Pomorskaa, A. Surowieca et al., Light-particle emission from the fissioning nuclei \(^{126}\)Ba, \(^{188}\)Pt and \(^{266,272,278}\)110: theoretical predictions and experimental results. Nucl. Phys. A 679, 25 (2000). doi:10.1016/S0375-9474(00)00327-4
W. Ye, Role of N/Z in giant dipole resonance \(\gamma \) rays as a probe of post-saddle nuclear dissipation. Phys. Lett. B 681, 413 (2000). doi:10.1016/j.physletb.2009.10.067
A.V. Karpov, P.N. Nadtochy, D.V. Vanin et al., Three-dimensional Langevin calculations of fission fragment mass-energy distribution from excited compound nuclei. Phys. Rev. C 63, 054610 (2001). doi:10.1103/PhysRevC.63.054610
Jhilam Sadhukhan, Santanu Pal, Role of saddle-to-scission dynamics in fission fragment mass distribution. Phys. Rev. C 84, 044610 (2011). doi:10.1103/PhysRevC.84.044610
P. Fröbrich, I.I. Gontchar, Langevin description of fusion, deep-inelastic collisions and heavy-ion-induced fission. Phys. Rep. 292, 131 (1998). doi:10.1016/S0370-1573(97)00042-2
P.N. Nadtochy, G.D. Adeev, A.V. Karpov, More detailed study of fission dynamics in fusion-fission reactions within a stochastic approach. Phys. Rev. C 65, 064615 (2002). doi:10.1103/PhysRevC.65.064615
H.J. Krappe, K. Pomorski, Theory of Nuclear Fission. Lecture Notes in Physics Vol. 838 (Springer, Berlin, 2012)
W. Ye, N. Wang, Significant role of level-density parameters in probing nuclear dissipation with light-ion-induced fission excitation functions. Phys. Rev. C 87, 014610 (2013). doi:10.1103/PhysRevC.87.014610
B.B. Back, D.J. Blumenthal, C.N. Davids et al., Fission hindrance in hot \(^{216}\)Th: evaporation residue measurements. Phys. Rev. C 74, 044602 (1999). doi:10.1103/PhysRevC.74.044602
P.D. Shidling, N.M. Badiger, S. Nath et al., Fission hindrance studies in \(^{200}\)Pb: evaporation residue cross section and spin distribution measurements. Phys. Rev. C 60, 064603 (1999). doi:10.1103/PhysRevC.60.064603
K. Ramachandran, A. Chatterjee, A. Navin et al., Fission time scale from prescission neutron, proton, and \(\alpha \) particle multiplicities in \(^{28}\)Si+\(^{175}\)Lu. Phys. Rev. C 73, 064609 (1999). doi:10.1103/PhysRevC.73.064609
W. Ye, N. Wang, Spallation reaction and the probe of nuclear dissipation with excitation energy at scission. Nucl. Sci. Tech. 24, 050521 (2013)
P. Fröbrich, On the dynamics of fission of hot nuclei. Nucl. Phys. A 787, 170 (2007). doi:10.1016/j.nuclphysa.2006.12.028
P. Möller, W.D. Myers, W.J. Swiatecki et al., Nuclear mass formula with a finite-range droplet model and a folded-Yukawa single-particle potential. At. Data Nucl. Data Tables 39, 225 (1988). doi:10.1016/0092-640X(88)90023-X
A.V. Ignatyuk, M.G. Itkis, V.N. Okolovich et al., Fission of pre-actinide nuclei. Excitation functions for the (\(\alpha, f\)) reaction. Yad. Fiz. 21, 1185 (1975)
I.I. Gontchar, P. Fröbrich, Consistent dynamical and statistical description of fission of hot nuclei. Phys. Rev. C 47, 2228 (1999). doi:10.1103/PhysRevC.47.2228
M. Blann, Decay of deformed and superdeformed nuclei formed in heavy ion reactions. Phys. Rev. C 21, 1770 (1980). doi:10.1103/PhysRevC.21.1770
C. Schmitt, P.N. Nadtochy, A. Heinz et al., First experiment on fission transients in highly fissile spherical nuclei produced by fragmentation of radioactive beams. Phys. Rev. Lett 99, 042701 (2007). doi:10.1103/PhysRevLett.99.042701
W. Ye, H.W. Yang, F. Wu, Isospin effects on the evaporation residue spin distribution. Phys. Rev. C 77, 011302(R) (2008). doi:10.1103/PhysRevC.77.011302
B. Jurado, C. Schmitt, K.-H. Schmidt et al., Transient effects in fission from new experimental signatures. Phys. Rev. Lett 93, 072501 (2004). doi:10.1103/PhysRevLett.93.072501
D.J. Hinde, Neutron emission as a probe of fusion-fission and quasifission dynamics. Phys. Rev. C 45, 1229 (1992). doi:10.1103/PhysRevC.45.1229
J. Cabrera, Th Keutgen, Y. El Masri et al., Fusion-fission and fusion-evaporation processes in \(^{20}\)Ne+\(^{159}\)Tb and \(^{20}\)Ne+\(^{169}\)Tm interactions between E/A=8 and 16 MeV. Phys. Rev. C 68, 034613 (2003). doi:10.1103/PhysRevC.68.034613
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This work was supported by the National Nature Science Foundation of China (No. 11575044).
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Tian, J., Ye, W. Investigating nuclear dissipation properties at large deformations via excitation energy at scission. NUCL SCI TECH 27, 145 (2016). https://doi.org/10.1007/s41365-016-0146-y
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DOI: https://doi.org/10.1007/s41365-016-0146-y