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Energy-time correlation of slowing-down neutrons

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Abstract

We formulate the energy-time correlation of neutrons slowing down through multiple elastic scatterings in a homogeneous infinite medium. From the correlation result, we obtain the neutron thermalisation time, expressed through special functions appearing in the calculation steps. We validate our theoretical approach by comparing the ensuing formulae with results of Monte Carlo calculations.

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References

  1. K.S. Krane, Introductory Nuclear Physics (J. Wiley & Sons Inc., 1987) pp. 408--413

  2. A.A. Bergman, A neutron spectrometer based on measuring the slowing-down time of neutrons in lead, in Proceedings of the First International Conference on Peaceful Uses of Atomic Energy, Geneva, Vol. 4 (US Atomic Energy Commission, United Nations, New York, 1956) p. 135

  3. A. Abánades et al., Nucl. Instrum. Methods A 478, 577 (2002)

    Article  ADS  Google Scholar 

  4. Y. Danon et al., Nucl. Instrum. Methods B 261, 953 (2007)

    Article  ADS  Google Scholar 

  5. T. Granier et al., Nucl. Instrum. Methods A 506, 149 (2003)

    Article  ADS  Google Scholar 

  6. R. Pourimani et al., Nucl. Instrum. Methods A 488, 226 (2002)

    Article  ADS  Google Scholar 

  7. D. Rochman et al., Nucl. Instrum. Methods A 564, 400 (2006)

    Article  ADS  Google Scholar 

  8. D. Rochman et al., Nucl. Instrum. Methods A 550, 397 (2005)

    Article  ADS  Google Scholar 

  9. A.A. Bergman et al., Sov. Phys. JETP 6, 6 (1958)

    ADS  Google Scholar 

  10. N. Thiollière, Neutron elastic scattering cross-section measurement on carbon and fluorine in epithermal energy range using PEREN platform, PhD Thesis, Université Joseph Fourier, 2005 (in French)

  11. A.I. Hawari et al., Nucl. Instrum. Methods A 422, 846 (1999)

    Article  ADS  Google Scholar 

  12. R. Barjon, Physique des réacteurs nucléaires (Institut des Sciences Nucléaires, 1993) pp. 77--78

  13. R. Moreh et al., Phys. Rev. B 56, 187 (1997)

    Article  ADS  Google Scholar 

  14. P. Debye, Ann. Phys. (Leipzig) 39, 789 (1912)

    ADS  Google Scholar 

  15. I.G. Dyad’kin, E.P. Batalina, At. Energ. 10, 5 (1961)

    Google Scholar 

  16. M. Sawan, R.W. Conn, Nucl. Sci. Eng. 54, 127 (1974)

    Google Scholar 

  17. T.J. Williamson, R.W. Albrecht, Nucl. Sci. Eng. 42, 97 (1970)

    Google Scholar 

  18. D.G. Cacuci, Nucl. Sci. Eng. 108, 50 (1991)

    Google Scholar 

  19. Fermi age theory, described in K.H. Beckurts, K. Wirtz, Neutron Physics (Springer Verlag, 1964) p. 145 and in R. Barjon, Physique des réacteurs nucléaires (Institut des Sciences Nucléaires, 1993) p. 191

  20. E. Belle, Characterization of spallation neutron transport in a large lead volume - Differential flux and transmutation rate measurements, PhD Thesis, Université Joseph Fourier, 1998 (in French)

  21. G.E.P. Box, M.E. Muller, Ann. Math. Stat. 29, 610 (1958)

    Article  MATH  Google Scholar 

  22. P. Reuss Neutron Physics (EDP Sciences, 2008) p. 259

    Article  Google Scholar 

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Correspondence to S. P. Chabod.

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Communicated by N. Alamanos

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Chabod, S.P. Energy-time correlation of slowing-down neutrons. Eur. Phys. J. A 44, 487–497 (2010). https://doi.org/10.1140/epja/i2010-10977-y

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  • DOI: https://doi.org/10.1140/epja/i2010-10977-y

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