Pion single-charge-exchange scattering and nuclear structure in deformed nuclei

Neutron deformation inHo165

“…Calculations have also been made with a model that employs deformed Hartree-Fock densities and a coupledchannels treatment of the reaction mechanism [29]. The dependence of o (0') on P2 /Pz is believed to be qualitatively similar to that shown in Fig.…”

“…The present paper provides full de-study by Bartel, Johnson, and Singham suggests that observable differences may well exist, for example, in pion charge-exchange reactions to isobaric analog states (IAS) [29]. This suggestion was based on the earlier idea of Chiang and Johnson that the orientation asymmetry parameter tails of the experiment and the analysis of the data.…”

“…This situation is different &om that which usually pertains to reaction calculations with light or heavy ions. Specific application to the present experiment has been recently published [29].…”

Cluster Model Analysis of Pion Elastic and Inelastic Scattering from 12C

“…The pion-nucleon scattering amplitude depends on complex first-and second-order interaction parameters. The first-order interaction parameters are related to the free pion-nucleon scattering through the phase shifts in the form described in [16][17][18], and the phase shifts are calculated according to the relation in [19]. The second-order parameters are required only at lower energies T π ≤80 MeV, but these parameters make no differences in the calculations at higher energies, so they were set to be zero [11,19].…”

“…Johnson and Satchler [8] used the Krell-Ericson transformation [9], which leads from the Klein-Gordon equation for pion scattering to a local potential for the transformed wave function, equivalent to Kisslinger nonlocal potential. This local potential was successfully used to analyze the elastic scattering from 12 C, 16 O, 28 Si, and 40,44,48 Ca in the pion kinetic energy range of 30 to 292 MeV [10,11]. Empirical parameters, subject to a continuous ambiguity elastic and inelastic scattering of positive and negative pions from calcium isotopes and 54 Fe were studied using the Kisslinger local potential, together with a zero-range distortedwave Born approximation (DWBA) code [12].…”