Advertisement

Precision measurement of the coherent neutron scattering length of 3He through neutron interferometry

  • W. KetterEmail author
  • W. Heil
  • G. Badurek
  • M. Baron
  • E. Jericha
  • R. Loidl
  • H. Rauch
Interdisciplinary Topics

Abstract.

Improved knowledge of the real part of the neutron scattering length of 3He is important for further development of nuclear few-body theory, as well as for a thorough understanding of neutron scattering off quantum liquids. The real part of the bound incoherent neutron scattering length b i' has recently been measured directly with an experimental uncertainty of better than 1% by means of spin echo spectrometry. The uncertainty of the more fundamental bound multiplet scattering lengths b ±' is thus limited by today's 1.2% uncertainty of the spin-independent coherent part b c'. Employing the skew-symmetric perfect crystal Si-interferometer at the S18 experimental site at ILL, Grenoble, we have re-measured the real part of the bound coherent neutron scattering length b c' of 3He. Our result b c' = 6.010(21)fm exhibits a significant deviation compared to the latest accepted value b c' = 5.74(7)fm (H. Kaiser, H. Rauch, G. Badurek, W. Bauspiess, U. Bonse, Z. Phys. A 291, 231 (1979)). Including the known value of the incoherent neutron scattering length, we obtain new values for the real parts of the free singlet and triplet scattering lengths, a -' = 7.573(30)fm and a +' = 3.480(18)fm. Our result contravenes by more than 7 standard deviations the measurement of the same physical quantity that has recently been performed by a group at NIST in a very similar experiment (P.R. Huffman, D.L. Jacobson, K. Schoen, M. Arif, T.C. Black, W.M. Snow, S.A. Werner, Phys. Rev. C 70, 014004 (2004)) which yielded b c' = 5.853(7)fm.

PACS.

21.45.+v Few-body systems 27.10.+h A ⩽ 5 28.20.Cz Neutron scattering 25.40.Dn Elastic neutron scattering 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E.O. Alt, B.L.G. Bakker, Z. Phys. A 273, 37 (1975).CrossRefGoogle Scholar
  2. 2.
    K. Schoen, D.L. Jacobson, M. Arif, P.R. Huffman, T.C. Black, W.M. Snow, S.K. Lamoreaux, H. Kaiser, S.A. Werner, Phys. Rev. C 67, 044005 (2003).CrossRefADSGoogle Scholar
  3. 3.
    V.F. Kharchenko, V.P. Levashev, Nucl. Phys. A 343, 249 (1980).ADSMathSciNetGoogle Scholar
  4. 4.
    S. Hammerschmied, H. Rauch, H. Clerc, U. Kischko, Z. Phys. A 302, 323 (1981).CrossRefGoogle Scholar
  5. 5.
    H. Rauch, D. Tuppinger, H. Wölwitsch, T. Wroblewski, Phys. Lett. B 165, 39 (1985).CrossRefADSGoogle Scholar
  6. 6.
    M. Viviani, S. Rosati, A. Kievsky, Phys. Rev. Lett. 81, 1580 (1998).CrossRefADSGoogle Scholar
  7. 7.
    F. Ciesielski, J. Carbonell, C. Gignoux, Phys. Lett. B 447, 199 (1999).CrossRefADSGoogle Scholar
  8. 8.
    J. Als-Nielsen, O. Dietrich, Phys. Rev. 133, 925 (1964).CrossRefADSGoogle Scholar
  9. 9.
    H. Kaiser, H. Rauch, G. Badurek, W. Bauspiess, U. Bonse, Z. Phys. A 291, 231 (1979).CrossRefGoogle Scholar
  10. 10.
    V.P. Alfimenkov, G.G. Akopyan, J. Wierzbicki, A.M. Govorov, L.B. Pikelʼner, É.I. Sharapov, Sov. J. Nucl. Phys. 25, 607 (1977) (originally published in Yad. Fiz. 25, 1145 (1977)).Google Scholar
  11. 11.
    K. Guckelsberger, W. Nistler, R. Scherm, M. Weyrauch, Physica B 276-278, 975 (2000).Google Scholar
  12. 12.
    K. Guckelsberger, Internal report of the PTB Laboratory 7.43 (2001).Google Scholar
  13. 13.
    O. Zimmer, G. Ehlers, B. Farago, H. Humblot, W. Ketter, R. Scherm, EPJdirect A 4, 1 (2002), http://www. edpsciences.org/articles/epjdirect/abs/2002/01/ contents/contents.html. MathSciNetGoogle Scholar
  14. 14.
    H.M. Hofmann, G.M. Hale, Phys. Rev. C 68, 021002(R) (2003).CrossRefADSGoogle Scholar
  15. 15.
    L. Koester, W. Nistler, Z. Phys. A 272, 189 (1975).CrossRefGoogle Scholar
  16. 16.
    L. Koester, in Ergebnisse der exakten Naturwissenschaften, edited by G. Höhler, Vol. 80: Neutron Physics (Springer, Berlin, 1977) pp. 1-55.Google Scholar
  17. 17.
    V.E. Krohn, G.R. Ringo, Phys. Rev. 148, 1303 (1966).CrossRefADSGoogle Scholar
  18. 18.
    J.S. Meier, Die Bestimmung der kohärenten gebundenen Streulänge gasförmiger Proben durch Kleinwinkelstreuungsmessungen an Hochdruck-Christiansenfiltern, PhD Thesis, Technische Universität München (1985).Google Scholar
  19. 19.
    H. Rauch, in Bergmann Schaefer -- Lehrbuch der Experimentalphysik, edited by H. Niedrig, Vol. 3: Optik, 9th edition (Walter de Gruyter, Berlin, 1993).Google Scholar
  20. 20.
    H. Rauch, S.A. Werner, Neutron Interferometry - Lessons in Experimental Quantum Mechanics, 1st edition (Oxford University Press, Oxford, 2000).Google Scholar
  21. 21.
    M.L. Goldberger, F. Seitz, Phys. Rev. 71, 294 (1947).CrossRefADSzbMATHMathSciNetGoogle Scholar
  22. 22.
    V.F. Sears, Phys. Rep. 82, 1 (1982).CrossRefADSGoogle Scholar
  23. 23.
    V.F. Sears, Neutron Optics (Oxford University Press, New York, Oxford, 1989).Google Scholar
  24. 24.
    G. Baym, Lectures on Quantum Mechanics (Addison Wesley, Reading, Mass., 1990) pp. 197-201.Google Scholar
  25. 25.
    E. Feenberg, Phys. Rev. 40, 40 (1932).CrossRefADSzbMATHGoogle Scholar
  26. 26.
    V.F. Sears, Neutron News 3, 26 (1992).Google Scholar
  27. 27.
    H. Rauch, W. Treimer, U. Bonse, Phys. Lett. A 47, 369 (1974).CrossRefADSGoogle Scholar
  28. 28.
    H. Rauch, Phys. Bl. 50, 439 (1994).Google Scholar
  29. 29.
    H. Rauch, Phys. J. (Weinheim) 7, 39 (2004).Google Scholar
  30. 30.
    G. Kroupa, G. Bruckner, O. Bolik, M. Zawisky, M. Hainbuchner, G. Badurek, R.J. Buchelt, A. Schricker, H. Rauch, Nucl. Instrum. Methods A 440, 604 (2000).CrossRefADSGoogle Scholar
  31. 31.
    L.I. Berger, B.R. Pamplin, in CRC Handbook of Chemistry and Physics, edited by D.R. Lide, 74th edition (CRC Press, Boca Raton, 1993-1994).Google Scholar
  32. 32.
    V.F. Sears, F.C. Khanna, Phys. Lett. B 56, 1 (1975).CrossRefADSGoogle Scholar
  33. 33.
    V.F. Sears, private communication with K. Guckelsberger 1991.Google Scholar
  34. 34.
    P.R. Huffman, D.L. Jacobson, K. Schoen, M. Arif, T.C. Black, W.M. Snow, S.A. Werner, Phys. Rev. C 70, 014004 (2004).CrossRefADSGoogle Scholar
  35. 35.
    V.F. Kharchenko, V.P. Levashev, Phys. Lett. B 60, 317 (1976).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2006

Authors and Affiliations

  • W. Ketter
    • 1
    Email author
  • W. Heil
    • 1
  • G. Badurek
    • 2
  • M. Baron
    • 2
  • E. Jericha
    • 2
  • R. Loidl
    • 2
  • H. Rauch
    • 2
  1. 1.Institut für PhysikMainzGermany
  2. 2.Atominstitut der österreichischen UniversitätenWienAustria

Personalised recommendations