Hyperfine Interactions

, Volume 101, Issue 1, pp 401–411 | Cite as

A model-independent description of dt and d3He systems near low-energy resonances

  • V. S. Popov
  • B. M. Karnakov
  • V. D. Mur
Article

Abstract

The effective range expansion is used to obtain a model-independent description of dt and d3He systems in the vicinity of the low-energy resonances5He*(3/2+) and5Li* (3/2+). The Coulomb-modified nuclear scattering lengthsacs and effective rangesrcs with angular momentuml=0 as well as the astrophysical functions(E) are calculated from the modern experimental data for cross sections of the dt→nα and d3He→pα fusion reactions in the vicinity of the resonances. To this end the generalization of the Smorodinsky formula for effective range to the case of potentials with the Coulomb barrier, as well as the phase analysis of the elastic nα-scattering near the resonance5He* (3/2+), are essentially used. The analytical structure of the scattering amplitudes in presence of absorption in the system is studied. Two series of the Coulomb poles of the dt-scattering amplitude in the complexk-plane, condensing to the elastic threshold, are found.

Keywords

Experimental Data Thin Film Analytical Structure Phase Analysis Fusion Reaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    N. Jarmie, R.E. Brown and R.A. Hardekopf, Phys. Rev. C 29 (1984) 2031.Google Scholar
  2. [2]
    R.E. Brown, N. Jarmie and G.M. Hale, Phys. Rev. C 35 (1987) 1999.Google Scholar
  3. [3]
    A. Krauss, H.W. Becker, H.P. Trautvetter et al., Nucl. Phys. A 465 (1987) 150.Google Scholar
  4. [4]
    W. Möller and F. Besenbacher, Nucl. Instrum. Methods 168 (1980) 111.Google Scholar
  5. [5]
    B.M. Karnakov, V.D. Mur, S.G. Pozdnyakov and V.S. Popov, Pis'ma Zh. Eksp. Teor. Fiz. 51 (1990) 352; 54 (1991) 131; Yad. Fiz. 52 (1990) 1540.Google Scholar
  6. [6]
    V.S. Popov, A.E. Kudryavtsev and V.D. Mur, Zh. Eksp. Teor. Fiz. 77 (1979) 1727; 80 (1981) 1271.Google Scholar
  7. [7]
    A.E. Kudryavtsev, V.D. Mur and V.S. Popov, Phys. Lett. 143B (1984) 41.Google Scholar
  8. [8]
    H.A. Bethe, Phys. Rev. 76 (1949) 38.Google Scholar
  9. [9]
    E. Lambert, Helv. Phys. Acta 42 (1969) 667.Google Scholar
  10. [10]
    V.D. Mur and V.S. Popov, Theor. Mat. Fiz. 27 (1976) 204.Google Scholar
  11. [11]
    Ya.A. Smorodinsky, Dokl. Acad. Nauk SSSR 60 (1948) 217.Google Scholar
  12. [12]
    V.D. Mur et al., Yad. Fiz. 57 (1994) 820.Google Scholar
  13. [13]
    L.N. Bogdanova, G.M. Hale, and V.E. Markushin, Phys. Rev. C 44 (1991) 1289.Google Scholar
  14. [14]
    A.B. Migdal, A.M. Perelomov and V.S. Popov, Yad. Fiz. 14 (1971) 874.Google Scholar
  15. [15]
    B. Hoop and H.H. Barschall, Nucl. Phys. 83 (1966) 65.Google Scholar

Copyright information

© J.C. Baltzer AG, Science Publishers 1996

Authors and Affiliations

  • V. S. Popov
    • 1
  • B. M. Karnakov
    • 2
  • V. D. Mur
    • 2
  1. 1.Institute of Theoretical and Experimental PhysicsMoscowRussian Federation
  2. 2.Moscow State Engineering Physical InstituteMoscowRussian Federation

Personalised recommendations