Dynamical Modeling of the Nuclear Fission Process at Low Excitation Energies

Affiliation(s)

^{1}
Physics and Chemistry Department, Omsk State Transport University, Omsk, Russia.

^{2}
Physics Department, Omsk State Technical University, Omsk, Russia.

ABSTRACT

Two recipes for modeling the dynamics of the nuclear fission process are known in literature. The underlying equations contain the driving, dissipative, and random forces. The two recipes are mostly different in the prescriptions for the driving force. In this work we carefully compare these driving forces and the resulting fission rates. It turns out that the rates may be very close or

strongly different depending on the value the shell correction to the nuclear deformation energy. We give arguments in favor of one of the recipes.

Two recipes for modeling the dynamics of the nuclear fission process are known in literature. The underlying equations contain the driving, dissipative, and random forces. The two recipes are mostly different in the prescriptions for the driving force. In this work we carefully compare these driving forces and the resulting fission rates. It turns out that the rates may be very close or

strongly different depending on the value the shell correction to the nuclear deformation energy. We give arguments in favor of one of the recipes.

Cite this paper

Gontchar, I. , Chushnyakova, M. , Oskin, E. , Demina, E. (2014) Dynamical Modeling of the Nuclear Fission Process at Low Excitation Energies.*Journal of Applied Mathematics and Physics*, **2**, 27-31. doi: 10.4236/jamp.2014.25004.

Gontchar, I. , Chushnyakova, M. , Oskin, E. , Demina, E. (2014) Dynamical Modeling of the Nuclear Fission Process at Low Excitation Energies.

References

[1] Wagemans, C. (1991) The Nuclear Fission Process. CRC Press Inc.

[2] Hilscher, D. and Rossner, H. (1992) Dynamics of Nuclear Fission. Annals of Physics (France), 17, 471-552. http://dx.doi.org/10.1051/anphys:01992001706047100

[3] Oganessian, Yu. (2013) Heaviest Nuclei. Nuclear Physics News, 23, 15-21. http://dx.doi.org/10.1080/10619127.2013.767694

[4] Itkis, I.M., et al. (2011) Fission and Quasifission Modes in Heavy-Ion-Induced Reactions Leading to the Formation of Hs. Physical Review C, 83, 064613. http://dx.doi.org/10.1103/PhysRevC.83.064613

[5] Oganessian, Yu.Ts., et al. (2010) Synthesis of a New Element with Atomic Number Z = 117. Physical Review Letters, 104, 142502. http://dx.doi.org/10.1103/PhysRevLett.104.142502

[6] Pavlova, E.G. and Gontchar, I.I. (2012) Dissipative Statistical and Dynamical Fission Rates: Case of the Microcanonical Ensemble. Proceedings of the 4th International Conference of the Current Problems in Nuclear Physics and Atomic Energy, Kyiv, 3-7 September 2012, 315-319.

[7] Gontchar, I.I., Fröbrich, P. and Pischasov, N.I. (1993) Consistent Dynamical and Statistical Description of Fission of Hot Nuclei. Physical Review C, 47, 2228-2235. http://dx.doi.org/10.1103/PhysRevC.47.2228

[8] Gontchar, I.I. and Fröbrich, P. (1993) Nuclear Fission: Combining the Dynamical Langevin Equation with the Statistical Model. Nuclear Physics A, 551, 495-507. http://dx.doi.org/10.1016/0375-9474(93)90459-B

[9] Adeev, G.D., Karpov, A.V., Nadtochy, P.N. and Vanin, D.V. (2005) Multidimensional Stochastic Description of the Excited Nuclei Fission Dynamics. Physics of Particles and Nuclei, 36, 733-820.

[10] Ignatyuk, A.V., Itkis, M.G., Okolovich, V.N., Smirenkin, G.N. and Tishin, A.S. (1975) Fission of Pre-Actinide Nuclei. Excitation Functions for the (α, f) Reaction. Physics of Atomic Nuclei (Yadernaya Fizika), 21, 1185-1205.

[11] Aritomo, Y. and Ohta, M. (2004) Dynamical Calculation for Fusion-Fission Probability in Superheavy Mass Region, Where Mass Symmetric Fission Events Originate. Nuclear Physics A, 744, 3-14. http://dx.doi.org/10.1016/j.nuclphysa.2004.08.009

[12] Aritomo, Y. and Chiba, S. (2013) Fission Process of Nuclei at Low Excitation Energies with a Langevin Approach. Physical Review C, 88, 044614. http://dx.doi.org/10.1103/PhysRevC.88.044614

[13] Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M. and Wong, C.Y. (1972) Funny Hills: The Shell- Correction Approach to Nuclear Sell Effects and Its Applications to the Fission Process. Reviews of Modern Physics, 44, 320-405.

[1] Wagemans, C. (1991) The Nuclear Fission Process. CRC Press Inc.

[2] Hilscher, D. and Rossner, H. (1992) Dynamics of Nuclear Fission. Annals of Physics (France), 17, 471-552. http://dx.doi.org/10.1051/anphys:01992001706047100

[3] Oganessian, Yu. (2013) Heaviest Nuclei. Nuclear Physics News, 23, 15-21. http://dx.doi.org/10.1080/10619127.2013.767694

[4] Itkis, I.M., et al. (2011) Fission and Quasifission Modes in Heavy-Ion-Induced Reactions Leading to the Formation of Hs. Physical Review C, 83, 064613. http://dx.doi.org/10.1103/PhysRevC.83.064613

[5] Oganessian, Yu.Ts., et al. (2010) Synthesis of a New Element with Atomic Number Z = 117. Physical Review Letters, 104, 142502. http://dx.doi.org/10.1103/PhysRevLett.104.142502

[6] Pavlova, E.G. and Gontchar, I.I. (2012) Dissipative Statistical and Dynamical Fission Rates: Case of the Microcanonical Ensemble. Proceedings of the 4th International Conference of the Current Problems in Nuclear Physics and Atomic Energy, Kyiv, 3-7 September 2012, 315-319.

[7] Gontchar, I.I., Fröbrich, P. and Pischasov, N.I. (1993) Consistent Dynamical and Statistical Description of Fission of Hot Nuclei. Physical Review C, 47, 2228-2235. http://dx.doi.org/10.1103/PhysRevC.47.2228

[8] Gontchar, I.I. and Fröbrich, P. (1993) Nuclear Fission: Combining the Dynamical Langevin Equation with the Statistical Model. Nuclear Physics A, 551, 495-507. http://dx.doi.org/10.1016/0375-9474(93)90459-B

[9] Adeev, G.D., Karpov, A.V., Nadtochy, P.N. and Vanin, D.V. (2005) Multidimensional Stochastic Description of the Excited Nuclei Fission Dynamics. Physics of Particles and Nuclei, 36, 733-820.

[10] Ignatyuk, A.V., Itkis, M.G., Okolovich, V.N., Smirenkin, G.N. and Tishin, A.S. (1975) Fission of Pre-Actinide Nuclei. Excitation Functions for the (α, f) Reaction. Physics of Atomic Nuclei (Yadernaya Fizika), 21, 1185-1205.

[11] Aritomo, Y. and Ohta, M. (2004) Dynamical Calculation for Fusion-Fission Probability in Superheavy Mass Region, Where Mass Symmetric Fission Events Originate. Nuclear Physics A, 744, 3-14. http://dx.doi.org/10.1016/j.nuclphysa.2004.08.009

[12] Aritomo, Y. and Chiba, S. (2013) Fission Process of Nuclei at Low Excitation Energies with a Langevin Approach. Physical Review C, 88, 044614. http://dx.doi.org/10.1103/PhysRevC.88.044614

[13] Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M. and Wong, C.Y. (1972) Funny Hills: The Shell- Correction Approach to Nuclear Sell Effects and Its Applications to the Fission Process. Reviews of Modern Physics, 44, 320-405.