Theoretical energy distributions around threshold from coherent pion production

Detailed energy distributions have been calculated for exclusive π0 production in C+C collisions below and above threshold. The quantum-coherent, microscopic, many-body formalism used previously has been extended to include the ρ-exchange as well as the π-exchange interaction modified to produce nucleon isobars in the intermediate nuclear states. Analytic solutions to the Δ-hole and particle-hole coefficients using the degenerate, schematic-model approximation are used where collective-coherent, spin-isospin giant resonances are assumed for the nuclear excited states. The nuclear form factors that depend on these coefficients are solved analytically and become sums of degenerate Δ-hole and particle-hole states for given multipole angular momentum values of the excited nuclei. Also, in this approach, the overall amplitudes and differential cross sections for π0 production in either nucleus have been formally solved and the first numerical results of the pion, kinetic-energy distributions are presented