Abstract
In the study of particle–nucleus or nucleus–nucleus scattering in the framework of multiple scattering theory of Glauber, the commutativity of the profile function operators $$ \varGamma_{i} $$ is assumed. This approximation may ignore the actual situation in the multiple scattering processes. Therefore, in this work the noncommutative profile function operators are considered. The results of $$ p{ - }{}^{ 3}{\text{He}} $$ and $$ p{ - }{}^{ 4}{\text{He}} $$ elastic scattering differential cross sections at intermediate energies of order 1 GeV show that the consideration of noncommutativity of the profile function operators is important to obtain a good fit with the experimental data. This means that the time-ordering of collisions in multi-scattering processes must be considered.
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