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Reconstruction of Spontaneous Fission Neutron Multiplicity Distribution Spectra by the Statistical Regularization Method

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. EXPERIMENT
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Abstract

In this paper we propose a technique for reconstructing the multiplicity distribution of spontaneous fission neutrons using the Tikhonov regularization method. The results obtained for 252No, 244Fm, 246Fm, and 248Cm are compared with previously reconstructed distributions. The multiplicity distributions of spontaneous fission neutrons of 250No, 256Rf, and 254Rf are reconstructed for the first time. The mean number of neutrons per decay and the dispersion of the distribution are obtained for each spectrum.

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REFERENCES

  1. V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, “Using methods of mathematical statistics to solve ill-posed problems,” Sov. Phys. Usp. 13, 681 (1970).

    Article  ADS  Google Scholar 

  2. V. F. Turchin, “Solution of the Fredholm equation of I kind in the statistical ensemble of smooth functions,” Zh. Vychisl. Mat. Mat. Fiz. 7, 1270–1284 (1967).

    MathSciNet  Google Scholar 

  3. M. Dakowski, “Yu. A. Lazarev, V. F. Turchin, and L. S. Turovtseva, "Reconstruction of particle multiplicity distribution using the method of statistical regularization,” Nucl. Instrum. Methods Phys. Res. 113, 195–200 (1973).

    Article  ADS  Google Scholar 

  4. V. N. Dushin, F.-J. Hambsch, V. A. Jakovlev, V. A. Kalinin, I. S. Kraev, A. B. Laptev, D. V. Nikolaev, B. F. Petrov, G. A. Petrov, V. I. Petrova, Y. S. Pleva, O. A. Shcherbakov, V. I. Shpakov, V. E. Sokolov, A. S. Vorobyev, and T. A. Zavarukhina, “Facility for neutron multiplicity measurements in fission,” Nucl. Instrum. Methods Phys. Res., Sect. A 516, 539–553 (2004).

    Google Scholar 

  5. V. A. Kalinin, O. I. Batenkov, and V. N. Dushin, “Neutron registration efficiency of the large liquid Gd-loaded scintillation detector. Development of the model for calculation of the evaporation spectra of neutrons emitted from 252CF (Sf) fission fragments,” Preprint No. RI-263 (Khlopin Radium Inst., St. Petersburg, 2005.

    Google Scholar 

  6. S. Pourgholi, S. Hashem Tabasi, and H. Zeidabadi, “Numerical techiques for solving of nonlinear inverse problem,” Eng. Comput., No. 34, 487–502 (2018).

  7. A. I. Svirikhin, M. Gupta, A. V. Yeremin, I. N. Izosimov, A. V. Isaev, A. N. Kuznetsov, O. N. Malyshev, S. Mulins, A. G. Popeko, E. A. Sokol, M. L. Chelnokov, and V. I. Chepihin, “Investigation into the neutron multiplicity of spontaneously fissioning short-lived heavy nuclei at the VASSILISSA separator,” Phys. Part. Nucl. Lett. 9, 24–28 (2012).

    Article  Google Scholar 

  8. N. E. Holden and M. S. Zucker, “Prompt neutron multiplicities for the transplutonium nuclides,” Rad. Effect 96, 1–4 (1986).

    Article  Google Scholar 

  9. A. I. Svirikhin, A. V. Yeremin, I. N. Izosimov, A. V. Isaev, A. N. Kuznetsov, O. N. Malyshev, A. G. Popeko, Yu. A. Popov, E. A. Sokol, M. L. Chelnokov, V. I. Chepigin, B. Andel, M. Z. Asfari, B. Gall, N. Yoshihiro, et al., “Spontaneous fission of 256Rf, new data,” Phys. Part. Nucl. Lett. 13, 480–482 (2016).

    Article  Google Scholar 

  10. A. I. Svirikhin, A. V. Andreev, A. V. Yeremin, N. I. Zamyatin, I. N. Izosimov, A. V. Isaev, A. N. Kuznetsov, A. A. Kuznetsova, O. N. Malyshev, A. G. Popeko, Yu. A. Popov, E. A. Sokol, M. S. Tezekbayeva, M. L. Chelnokov, V. I. Chepigin, et al., “Prompt neutrons from spontaneous 254Rf fission,” Phys. Part. Nucl. Lett. 16, 768–771 (2019).

    Article  Google Scholar 

  11. A. I. Svirikhin, A. V. Andreev, A. V. Yeremin, I. N. Izosimov, A. V. Isaev, A. N. Kuznetsov, A. A. Kuznetsova, O. N. Malyshev, A. G. Popeko, Yu. A. Popov, E. A. Sokol, M. L. Chelnokov, V. I. Chepigin, T. M. Schneidman, B. Gall, et al., “Characteristics of spontaneous fission of 250No,” Phys. Part. Nucl. Lett. 14, 571–575 (2017).

    Article  Google Scholar 

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Funding

This work was carried out with financial support from the Russian Foundation for Basic Research, grant 18-52-15004.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia

    R. S. Mukhin, A. V. Eremin, I. N. Izosimov, A. V. Isaev & A. I. Svirikhin

  2. Khlopin Radium Institute, 194021, St. Petersburg, Russia

    V. N. Dushin

  3. State University Dubna, 141982, Dubna, Russia

    A. V. Eremin & A. I. Svirikhin

Authors
  1. R. S. Mukhin
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  2. V. N. Dushin
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  3. A. V. Eremin
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  4. I. N. Izosimov
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  5. A. V. Isaev
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  6. A. I. Svirikhin
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Correspondence to R. S. Mukhin.

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Mukhin, R.S., Dushin, V.N., Eremin, A.V. et al. Reconstruction of Spontaneous Fission Neutron Multiplicity Distribution Spectra by the Statistical Regularization Method. Phys. Part. Nuclei Lett. 18, 439–444 (2021). https://doi.org/10.1134/S1547477121040130

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  • DOI: https://doi.org/10.1134/S1547477121040130

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