Elastic proton scattering of medium mass nuclei from coupled-cluster theory

Abstract

Using coupled-cluster theory and interactions from chiral effective field theory, we compute overlap functions for transfer and scattering of low-energy protons on the target nucleus 40-Ca. Effects of three-nucleon forces are included phenomenologically as in-medium two-nucleon interactions. Using known asymptotic forms for one-nucleon overlap functions we derive a simple and intuitive way of computing scattering observables such as elastic scattering phase shifts and cross sections. As a first application and proof-of-principle, we compute phase shifts and differential interaction cross sections at energies 9.6 MeV and 12.44 MeV and compare with experimental data. Our computed diffraction minima are in good agreement with experiment, while we tend to overestimate the cross sections at large scattering angles.

5 pages, 6 figures

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Evolution of shell structure in neutron-rich calcium isotopes
• Shell Model in the Complex Energy Plane
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Shell Structure of Exotic Nuclei
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Asymptotic normalization coefficients from ab initio calculations
• Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
• Precise Coulomb wave functions for a wide range of complex l, eta and z
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• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Novel applications of the dispersive optical model
• Microscopic positive-energy potential based on Gogny interaction
• SWANLOP : Scattering waves off nonlocal optical potentials in the presence of Coulomb interactions
• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• Alternative similarity renormalization group generators in nuclear structure calculations
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Coupled-cluster computations of optical potential for medium-mass nuclei
• Proton radioactivity in deformed nuclei with microscopic optical potential: A novel angular-dependent emission mechanism in the nanosecond-lived ${}^{149}$Lu