Pion-nucleus optical potential including the nuclear Hamiltonian

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Abstract

We use the fact that the mass of the pion is much smaller than the mass of the nucleon to derive an expression for the first-order pion-nucleus optical potential that includes the effect of the nuclear Hamiltonian through a single-particle model. We apply this potential to calculate the total and reaction cross sections of C12 and the charge-exchange cross section to the isobaric analog state in C13 for energies between 0 and 300 MeV, obtaining qualitative agreement with experiment. NUCLEAR REACTIONS C13(π+,π0), C12(π+,π+), E=0-300 MeV; calculated σtot(E), σreac(E), and σcex(E).

Original languageEnglish
Pages (from-to)2094-2097
Number of pages4
JournalPhysical Review C
Volume21
Issue number5
DOIs
StatePublished - 1980

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