Effect of the Nuclear d — t Resonance on Muon Sticking in μ-Catalyzed Fusion

  • J. Révai
  • A. L. Zubarev
  • L. Ya. Higer
  • V. B. Belyaev
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 6)


The generally accepted validity of the sudden approximation for the calculation of the sticking coefficient ω s 0 is questioned. Physically this doubt is motivated by the fact, that due to the 5He3/2+ resonance, the nuclear interaction time (~10−20 s) is nonnegligeable compared to the muon orbiting time (~10−19 s); thus the “propagation” of the muon during the nuclear process can not be excluded.

Calculations are based on a formally exact, coupled two-channel three-body formulation of the fusion process in the dtμ system [1,2]. After a careful definition of the sticking coefficient within this framework the sudden formula for ω s 0 is derived pointing out the chain of approximations, leading to it. The effect of the nuclear resonance is incorporated in a modified expression for the transition amplitude (and ω s 0 ), in which the simple overlap of the initial and final muon wave functions is replaced by a (free) propagation between them. The characteristic momentum (or inverse range) of this propagation is determined by the difference of the total (three-body) energy of the system and the resonance energy of the heavy-particle subsystem.

Our numerical calculations give an ω s 0 , which is roughly a factor 2 smaller, than the sudden value and is rather sensitive to the nuclear resonance parameters: changing them whithin the experimental errors results in a 10–15% variation of ω s 0 .


Fusion Reaction Nuclear Resonance Sticking Coefficient Characteristic Momentum Sudden Approximation 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    V. B. Belyaev, J. Révai and A. L. Zubarev, Phys. Lett. B 219(1989)157ADSCrossRefGoogle Scholar
  2. [2]
    J. Révai, A. L. Zubarev, L. Ya. Higer and V. B. Belyaev, Phys. Rev. A 43(1991)4611ADSCrossRefGoogle Scholar
  3. [3]
    J. Rafelski, H. Rafelski, to be published in Advances in Atomic, Molecular and Optical PhysicsGoogle Scholar
  4. [4]
    K. Nagamine et al., µCF ‘80 Vienna, 1990, Abstract book, p.36Google Scholar
  5. [5]
    P. Ackerbauer et al., PSI Annual Report 1990, p. 50Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • J. Révai
    • 1
  • A. L. Zubarev
    • 2
  • L. Ya. Higer
    • 2
  • V. B. Belyaev
    • 3
  1. 1.Central Research Institute for PhysicsBudapestHungary
  2. 2.Department of PhysicsTashkent State UniversityTashkentU.S.S.R.
  3. 3.Joint Institute for Nuclear ResearchDubnaU.S.S.R.

Personalised recommendations