Microscopic global optical potential for nucleon-nucleus systems in the energy range 50–400 MeV

Abstract

We provide a microscopic global optical potential (MGOP) for nucleon-nucleus (NA) systems in a wide range of nuclear mass numbers (A = 10-276) and incident energies (E = 50-400 MeV). The potential is microscopically constructed based on a single-folding (SF) model with the complex G-matrix interaction. The nuclear densities used in the SF model are generated, in a nonempirical way, from two kinds of microscopic mean-field models: the relativistic-mean-field (RMF) and Skyrme-Hartree-Fock + BCS (HF+BCS) models. We calculate the NA potentials for more than 1000 even-even nuclei with atomic number Z = 6-92, involving proton-and neutron-rich unstable nuclei. We confirm that both the MGOP models well reproduce the available experimental data of the total reaction cross sections, the total neutron cross sections, the elastic-scattering cross sections, the analyzing power, and the spin-rotation function Q. We also calculate the proton scattering cross sections of 22 O, 24 O, and 56 Ni targets to compare the experimental data and then the cross sections for unknown 48 S, 100 Zr, and 110 Zr are presented for future measurements. For the sake of convenience, the real and imaginary parts of the central and spin-orbit components of the NA potentials are respectively represented in a linear combination of 12-range Gaussians. They are provided on the website [http://www2.yukawa.kyoto-u.ac.jp/∼ takenori.furumoto/] with a program source file for reconstructing the MGOP.

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

“…Historically, two cornerstone frameworks have been employed. First, few-body techniques (with early applications to reactions) use correct asymptotics (i.e., the wave function of the reaction fragments at long distances), but may often neglect the microscopic structure of the clusters and employ optical potentials fitted to elastic scattering data of stable nuclei (e.g., [64][65][66]. Second, many-body techniques (with early applications to structure) use many-body degrees of freedom and target unified structure and reaction descriptions, but may often neglect or only partially account for the continuum, and are often limited in mass or number of active particles as a result of increased complexity.…”

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

“…Experiments at current and upcoming rare isotope beam facilities can probe nucleon-nucleon interactions and nuclear structure, but require novel theoretical approaches that can reliably model reactions of shortlived isotopes to support and inform experimental programs. Historically, two major cornerstone frameworks have been developed: (1) Few-body techniques (with early applications to reactions) use correct asymptotics (i.e., the wave function of the reaction fragments at large distances), but may often neglect the microscopic structure of the clusters and employ optical potentials fitted to elastic scattering data of stable nuclei (see, e.g., 65,66,67). (2) Many-body techniques (with early applications to structure) use many-body degrees of freedom and target unified structure and reaction descriptions, but may often neglect or partially account for the continuum and are often limited in mass or number of active particles, as a result of increased complexity.…”

Drastic change in inelastic scattering depending on the development of dineutron correlation in $^{10}$Be

“…We applied the calculated transition densities to MCC calculations with the complex G-matrix interaction MPa [55,56]. The MPa interaction has been proven to be successful in nuclear reactions [42,50,57,58]. As a detailed calculation procedure for the folding potential has been described in previous researches [39,50,59], herein, only the essence of the MCC calculation was briefly introduced.…”

“…Since the complex G-matrix is constructed in the infinite nuclear matter, the strength of the imaginary part is often adjusted in the use for the finite nucleus because these level densities are quite different. Therefore, we take the incident-energy-dependent renormalization factor, N W = 0.5 + (E/A)/1000 [58], for the imaginary part of the folding model potential.…”