Inelastic p 9Be scattering and halo structure of the J π = 1/2+ excited state of the 9Be nucleus

Abstract

Differential cross sections for inelastic p 9 Ве scattering (to the J π = 1/2 + level) were calculated on the basis of Glauber's diffraction theory. The wave function for the 9 Ве nucleus in the three-particle 2αn model was used in this calculation. An expansion of this wave function in a series in Gaussian functions and the representation of the Glauber operator Ω in the form conjugate to the three-particle wave function make it possible to calculate analytically inelastic-scattering matrix elements. The differential cross section calculated by using the 2αn wave functions agrees well with available experimental data at E = 180 MeV.