Suppression of the nuclear rainbow in the inelasticnucleus–nucleus scattering
Nguyen Hoang Phuc, Dao T. Khoa, Nguyen Tri Toan Phuc, Do Cong Cuong
Eur. Phys. J. A (2021) 57:75
Abstract:
The nuclear rainbow observed in the elasticα-nucleus and light heavy-ion scattering is proven to be due tothe refraction of the scattering wave by a deep, attractive realoptical potential. The nuclear rainbow pattern, established asa broad oscillation of the Airy minima in the elastic cross sec-tion, originates from an interference of the refracted far-sidescattering amplitudes. It is natural to expect a similar rainbowpattern also in the inelastic scattering of a nucleus–nucleussystem that exhibits a pronounced rainbow pattern in theelastic channel. Although some feature of the nuclear rain-bow in the inelastic nucleus–nucleus scattering was observedin experiment, the measured inelastic cross sections exhibitmuch weaker rainbow pattern, where the Airy oscillationis suppressed and smeared out. To investigate this effect, anovel method of the near-far decomposition of the inelasticscattering amplitude is proposed to explicitly reveal the cou-pled partial-wave contributions to the inelastic cross section.Using the new decomposition method, our coupled channelanalysis of the elastic and inelastic12C+12C and16O+12C scattering at the refractive energies shows unambigu-ously that the suppression of the nuclear rainbow pattern inthe inelastic scattering cross section is caused by a destruc-tive interference of the partial waves of different multipoles.However, the inelastic scattering remains strongly refractivein these cases, where the far-side scattering is dominant atmedium and large angles like that observed in the elasticscattering.
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