Recent developments for the optical model of nuclei

Abstract

A brief overview of various approaches to the optical-model description of nuclei is presented. A survey of some of the formal aspects is given which links the Feshbach formulation for either the hole or particle Green's function to the time-ordered quantity of many-body theory. The link between the reducible self-energy and the elastic nucleon-nucleus scattering amplitude is also presented using the development of Villars. A brief summary of the essential elements of the multiple-scattering approach is also included. Several ingredients contained in the time-ordered Green's function are summarized for the formal framework of the dispersive optical model (DOM). Empirical approaches to the optical potential are reviewed with emphasis on the latest global parametrizations for nucleons and composites. Various calculations that start from an underlying realistic nucleon-nucleon interaction are discussed with emphasis on more recent work. The efficacy of the DOM is illustrated in relating nuclear structure and nuclear reaction information. Its use as an intermediate between experimental data and theoretical calculations is advocated. Applications of the use of optical models are pointed out in the context of the description of nuclear reactions other than elastic nucleon-nucleus scattering.

74 pages, 28 figures, review article accepted for publication in Prog. Part. Nucl. Phys

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• Validity of the distorted-wave impulse-approximation description of ${}^{40}$Ca$(e,e^{\prime }p{)}^{39}$K data using only ingredients from a nonlocal dispersive optical model
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Cited by in corpus (32)

• Quenching of single-particle strength from direct reactions with stable and rare-isotope beams
• From bound states to the continuum
• Optical potentials for the rare-isotope beam era
• Uncertainty-quantified phenomenological optical potentials for single-nucleon scattering
• A dispersive optical model analysis of ${}^{208}$Pb generating a neutron-skin prediction beyond the mean field
• Investigating the link between proton reaction cross sections and the quenching of proton spectroscopic factors in ${}^{48}$Ca
• Isotopically resolved neutron total cross sections at intermediate energies
• Systematic Matter and Binding-Energy Distributions from a Dispersive Optical Model Analysis
• Measurement of ${}^{58}$Ni($p$, $p$)${}^{58}$Ni elastic scattering at low momentum transfer by using the HIRFL-CSR heavy-ion storage ring
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• A novel event generator for the automated simulation of neutrino scattering
• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Elastic Antiproton-Nucleus Scattering from Chiral Forces
• Resonant tunneling of deuteron-triton fusion in strong high-frequency electromagnetic fields
• Dispersive optical model description of nucleon scattering on Pb-Bi isotopes
• Benchmarking Faddeev and transfer-to-the-continuum calculations for (p, pN ) reactions
• Green's Function Knockout Formalism
• Antisymmetrized, translationally invariant theory of the nucleon optical potential
• Exchange effects in nucleus-nucleus reactions
• Cross sections for neutron-induced reactions from surrogate data: revisiting the Weisskopf-Ewing approximation for $(n,n^{\prime })$ and $(n,2n)$ reactions
• Renormalization group evolution of optical potentials: explorations using a toy model
• Generic nature of asymptotic completeness in dissipative scattering theory
• The optical potentials and nuclear reaction cross sections for the $n$-${}^{12}$C and $N$-${}^{12}$C scattering
• Optical potentials, retarded Green's functions and nonorthogonality
• Systematic study of the propagation of uncertainties to transfer observables
• Coupled-cluster computations of optical potential for medium-mass nuclei
• Combining nuclear reactions and structure with the dispersive optical model
• Point-Particle Catalysis
• Microscopic optical potentials from a Greens function approach
• Transfer reactions as a Tool in Nuclear Astrophysics
• Elastic proton scattering off non-zero spin nuclei
• Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions