Abstract
For a theoretical description of weakly-bound systems studied with radioactive ion beams, it is important to make allowance for low-lying collective excited states of the colliding bodies which are not stable levels, but rather particle-emitting resonances. This work describes one such implementation in the framework of a multi-channel algebraic scattering formalism for determining nucleon-nucleus cross sections and spectra at low energies.
Highlights
The study of scattering of quantum bodies is of great importance to modern physics, as it is the only way of experimentally probing physics on this scale
3− 2 results from using both overestimate its width more than that of the uniform widths calculation, but are still in better agreement with data than the no-widths value. These results indicate that this method of including target-state particle-emission widths with a shape modified by a dependence on projectile energy shows promise in cases where Multi-channel Algebraic Scattering (MCAS) recreates a compound state well
While the above work illustrates the behaviour of several functions that may scale a target state’s width as a way of modifying its shape, and will inform the development of this project, the results presented are not final as the formalism is not yet complete
Summary
The study of scattering of quantum bodies is of great importance to modern physics, as it is the only way of experimentally probing physics on this scale. Aside from its own intrinsic interest, the investigation of nuclear scattering processes is essential for other fields of physics, especially the study of astrophysical bodies. These processes may be described by a set of coupledchannel Lippmann-Schwinger equations. The Multi-channel Algebraic Scattering (MCAS) method of solving these, far for NA scattering, is built upon finite-rank separable representations of realistic nuclear interaction input potentials. This is done using the Hilbert-Schmidt expansion of amplitudes, whereby a separable T -matrix leads to separable potentials. It is important that the latter be expanded to accommodate cases where particle-emission widths are larger, as in recent years experimental nuclear physics has centred on radioactive beams, and theoretical studies should follow
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