Existence of inelastic supernumerary nuclear rainbow in 16O+12C scattering
Abstract
The existence of a supernumerary nuclear rainbow in inelastic scattering is reported. This is done by studying inelastic 16O scattering from 12C, exciting the 2+ (4.44 MeV) state of 12C and elastic scattering at the incident energies in the range 124 to 200 MeV, using the coupled channels method. An extended double folding potential is used. This is derived from realistic wave functions for 12C and 16O calculated with a microscopic α cluster model and a finite-range density-dependent nucleon-nucleon force. Excitations to the 2+ (4.44 MeV), 3- (9.64 MeV) and 4+ (14.08 MeV) states of 12C, and the 3- (6.13 MeV) and 2+ (6.92 MeV) states of 16O are included in the coupled channels calculations. The emergence of the supernumerary bow is understood by the properties of both the Luneburg-lens-like potential in the internal region and diffuse attraction in the outer region. The existence of a supernumerary rainbow for inelastic scattering in addition to the existence of a dynamically created secondary rainbow and a dynamically refracted primary rainbow for elastic scattering, which are not observed in meteorological rainbows, further deepens the understanding of nuclear rainbows.