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Investigation of the Charge Exchange Process π-d→π°nn

  • Il-T. Cheon

Abstract

Five years ago, on the basis of the dispersion theory, an effective interaction was proposed to analyse the pion absorption and production at low energy1. With this interaction, the absorption rate for the process πd→nn at rest is given as
$$\hbar \omega \left( {{\pi ^ - }d \to nn} \right) = \frac{{16{g^2}{\hbar ^3}k}}{{3a_0^3{M_\eta }{{\tilde \mu }_\pi }c}}{\left[ {F\left( k \right)} \right]^2}$$
where the coupling constant g2=0.08, ao and c are the Bohr radius and the speed of light, Mη and μπ~ are the neutron mass and the pion reduced mass and k=1.854 fm-1 is the momentum of relative motion of the two out-going neutron. The matrix element F(k)=0.3642 fm is given in ref. 1. After some numerical calculations, we obtain
$$\hbar \omega \left( {{\pi ^ - }d \to nn} \right) = 0.682\,eV$$
.

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References

  1. 1.
    Il-T. Cheon., Nucl. Phys., B66, 412 (1973).ADSCrossRefGoogle Scholar
  2. 2.
    W. R. Gibbs., Phys. Rev., 16, 327 (1977).ADSCrossRefGoogle Scholar
  3. 3.
    R. MacDonald., Phys. Rev. Letters, 38, 46 (1977).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • Il-T. Cheon
    • 1
  1. 1.Department of PhysicsYonsei UniversitySeoulKorea

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