2014/10/28 by K. Amos, L. Canton, Amos, K. +7
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1410.7507
openalex publication_date 2014/10/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for α+nucleus systems to find spectra of the compound systems. Low energy spectra for 12C, 16O, and 20Ne are found with the systems considered as the coupling of an α particle with low-excitation states of the core nuclei, 8Be, 12C, and 16O, respectively. Collective models have been used to define the matrices of interacting potentials. Quadrupole (and octupole when relevant) deformation is allowed and taken to second order. The calculations also require a small monopole interaction to provide an extra energy gap commensurate with an effect of strong pairing forces. The results compare reasonably well with known spectra given the simple collective model prescriptions taken for the coupled-channel interactions. Improvement of those interaction specifics in the approach will give spectra and wave functions suitable for use in analyses of cross sections for α scattering and capture by light-mass nuclei; reactions of great importance in nuclear astrophysics.