Δ Excitations in Nuclei and the Coherent Pion Decay

  • F. Osterfeld
  • B. Körfgen
  • P. Oltmanns
  • T. Udagawa


The Δ excitations in nuclei induced by intermediate energy charge exchange reactions are analyzed within the isobar-hole model. It is shown that the isovector spin-longitudinal () response function of nuclei in the Δ resonance region is shifted down in energy by ~ 60 MeV in comparison to the spin-transverse () response function. This shift is consistent with pion and photon total cross section data. The coherent pion decay of the Δ resonance is studied by means of the 12 C(p, nπ +)12 C(g.s.)and 12 C(γ, π 0)12 C(g.s.) coincidence reactions. The calculations show that the coherent pion production cross section provides a unique signature on the nuclear pionic mode. The coherent pions in the charge exchange reactions have a peak energy of E π = 250 MeV and a strongly forward peaked angular distribution. The coherent pions from the pion-photoproduction reaction have a peak energy of E π = 220 MeV and an angular distribution which peaks near θ π = 30°.


Transition Density Inclusive Cross Section Residual Interaction Full Curve Spin Observable 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • F. Osterfeld
    • 1
  • B. Körfgen
    • 1
  • P. Oltmanns
    • 1
  • T. Udagawa
    • 2
  1. 1.Institut für KernphysikKFA Jülich GmbHJülichGermany
  2. 2.Department of PhysicsUniversity of TexasAustinUSA

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