In the framework of the cold fissile nucleus model, the correlation coefficients of the spins of fragments of spontaneous and low-energy nuclear fission have been calculated. It has been shown that the correlation coefficient is in good agreement with the results of both experimental and theoretical works. The obtained results are in some controversy with the total spin conservation law, which is hold in the considered types of fission. Thus, the raised problem requires further analysis.
nuclear fission, spin distribution, correlation coefficients
1. Nix, J.R. Studies in the liquid-drop theory of nuclear fission / J.R. Nix, W.J. Swiatecki // Nuclear Physics. – 1965. –Vol. 71, Iss. 1. – P. 1-94. – https://doi.org/10.1016/0029-5582(65)90038-6.
2. Angular momentum generation in nuclear fission / J.N. Wilson, D. Thisse, M. Lebois [et. al.] // Nature. – 2021. – Vol. 590. – P. 566-570. – DOI:https://doi.org/10.1038/s41586-021-03304-w.
3. Rasmussen, J.O. A model for calculating the angular momentum distribution of fission fragments / J.O. Rasmussen, W. Noerenberg, H.J. Mang // Nuclear Physics A. – 1969. – Vol. 136, Iss. 2. – P. 465-480. – DOI:https://doi.org/10.1016/0375-9474(69)90066-9.
4. Angular Momentum of Primary Products Formed in the Spontaneous Fission of 252Cf / J.B. Wilhelmy, E. Cheifetz, R.C. Jared [et. al.] // Physical Review C. – 1972. – Vol. 5, Iss. 6. – P. 2041-2060. – https://link.aps.org/doi/10.1103/PhysRevC.5.2041.
5. Moretto, L.G. Angular momentum bearing modes in fission / L.G. Moretto, G.F. Peaslee, G.F. Wozniak // Nuclear Physics A. – 1989. – Vol. 502. – P. 453-472. – https://doi.org/10.1016/0375-9474(89)90682-9.
6. Role of bending mode in generation of angular momentum of fission fragments / T.M. Shneidman, G.G. Adamian, N.V. Antonenko [et. al.] // Physical Review C. – 2002. – Vol. 65. – Art. No. 064302. – DOI: https://doi.org/10.1103/PhysRevC.65.064302.
7. Bunakov, V.E. Vliyanie poperechnyh kolebaniy delyaschihsya yader na uglovye i spinovye raspredeleniya oskolkov nizkoenergeticheskogo deleniya / V.E. Bunakov, S.G. Kadmenskiy, D.E. Lyubashevskiy // Yadernaya fizika. – 2016. – T. 79, № 3. – S. 198-206.
8. Randrup, J. Generation of fragment angular momentum in fission / J. Randrup, R. Vogt // Physical Review Letters. – 2021. – Vol. 127, Iss. 6. – Art. No. 062502. – https://doi.org/10.1103/PhysRevLett.127.062502.
9. Randrup, J. Calculation of fission observables through event-by-event simulation / J. Randrup, R. Vogt // Physical Review C. – 2009. – Vol. 80, Iss. 2. – Art. No. 024601. – https://doi.org/10.1103/PhysRevC.80.024601.
10. Verbeke, J.M. Fission reaction event yield algorithm FREYA 2.0.2 / J.M. Verbeke, J. Randrup, R. Vogt // Computer Physics Communications. – 2018. – Vol. 222. – P. 263-266. – https://doi.org/10.1016/j.cpc.2017.09.006.
11. Døssing, T. Dynamical evolution of angular momentum in damped nuclear reactions: (I). Accumulation of angular momentum by nucleon transfer / T. Døssing, J. Randrup // Nuclear Physics A. – 1985. – Vol. 433, Iss. 2. – P. 215-279. – https://doi.org/10.1016/0375-9474(85)90178-2.
12. Døssing, T. Dynamical evolution of angular momentum in damped nuclear reactions: (II). Observation of angular momentum through sequential decay / T. Døssing, J. Randrup // Nuclear Physics A. – 1985. – Vol. 433, Iss. 2. – P. 280-350. – https://doi.org/10.1016/0375-9474(85)90179-4.
13. Moretto, L.G. Equilibrium statistical treatment of angular momenta associated with collective modes in fission and heavy-ion reactions / L.G. Moretto, R.P. Schmitt // Physical Review C. – 1980. – Vol. 21, Iss. 1. – P. 204-216. – https://doi.org/10.1103/PhysRevC.21.204.
14. Randrup, J. Refined treatment of angular momentum in the event-by-event fission model freya / J. Randrup, R. Vogt // Physical Review C. – 2014. – Vol. 89, Iss. 4. – Art. No. 044601. – https://link.aps.org/doi/10.1103/PhysRevC.89.044601.
15. Vogt, R. Angular momentum effects in fission / R. Vogt, J. Randrup // Physical Review C. – 2021. – Vol. 103, Iss. 1. – Art. No. 014610. – https://link.aps.org/doi/10.1103/PhysRevC.103.014610.