Novel applications of the dispersive optical model

Abstract

A review of recent developments of the dispersive optical model (DOM) is\npresented. Starting from the original work of Mahaux and Sartor, several\nnecessary steps are developed and illustrated which increase the scope of the\nDOM allowing its interpretation as generating an experimentally constrained\nfunctional form of the nucleon self-energy. The method could therefore be\nrenamed as the dispersive self-energy method.\n The aforementioned steps include the introduction of simultaneous fits of\ndata for chains of isotopes or isotones allowing a data-driven extrapolation\nfor the prediction of scattering cross sections and level properties in the\ndirection of the respective drip lines. In addition, the energy domain for data\nwas enlarged to include results up to 200 MeV where available. An important\napplication of this work was implemented by employing these DOM potentials to\nthe analysis of the (\\textit{d,p}) transfer reaction using the adiabatic\ndistorted wave approximation (ADWA).\n We review the fully non-local DOM potential fitted to ${}^{40}$Ca where\nelastic-scattering data, level information, particle number, charge density and\nhigh-momentum-removal $(e,e'p)$ cross sections obtained at Jefferson Lab were\nincluded in the analysis. An important consequence of this new analysis is the\nfinding that the spectroscopic factor for the removal of valence protons in\nthis nucleus comes out larger by about 0.15 than the results obtained from the\nNIKHEF analysis of their $(e,e'p)$ data. Another important consequence of this\nanalysis is that it can shed light on the relative importance of two-body and\nthree-body interactions as far as their contribution to the energy of the\nground state is concerned through application of the energy sum rule.\n