Charge exchange (p,n) reaction to isobaric analogue states of select nuclei
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Regular Article - Theoretical Physics
Charge exchange (p,n) reaction to isobaric analogue states of select nuclei K. Amos1,2,a , S. Karataglidis1,2 , W. A. Richter3 1
School of Physics, University of Melbourne, Victoria 3010, Australia Department of Physics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa 3 Department of Physics, University of Stellenbosch, Stellenbosch 7600, South Africa
2
Received: 14 July 2020 / Accepted: 11 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Communicated by Nicolas Alamanos
Abstract Using a modified version of Jacques Raynal’s program, DWBA98, we have analyzed cross-section data from a select set of charge exchange ( p, n) reactions leading to isobaric analogue states of the target ground states. The Melbourne g-matrix model of the N N interaction has been used to specify both the relevant optical model potentials and the transition interactions. The formulation used defines transition amplitudes in terms of nucleon state occupancies in the ground states of the targets. Skyrme-Hartree-Fock and shell-model structures have been used for the input spectroscopic information. Targets of 92 Zr, 42,48 Ca, 208 Pb, and 6 He have been considered specifically.
1 Introduction The scattering of nucleons from nuclei and, by inverse scattering, of radioactive ion beam (RIB) nuclei from hydrogen as a target, can now be used to probe the characteristics of proton and neutron density profiles of the nuclei involved. That can be done in a manner almost as good as the extraction of densities from the elastic electron scattering form factors. Elastic electron scattering, however, is a measure of the charge and current distributions in the nucleus [1] and so is essentially insensitive to the neutron matter distribution. To date most electron scattering data have been taken using stable nuclear targets, but the SCRIT experiment [2–4] is now taking data for the electron scattering from medium-mass exotic nuclei. The most commonly studied process in the scattering of nucleons from nuclei (experimentally and theoretically) is that of elastic scattering; the outcome of such data analyses generally is required to begin studies of other reaction processes. For incident nucleon energies, typically above a e-mail:
∼ 40 MeV, optical potentials formed by folding two-nucleon (N N ) effective interactions between the projectile and each bound nucleon in a target with detailed structure of the target ground state have lead to very good predictions of the (elastic) scattering observables [1]. The effective N N interaction is generated from the g-matrices found using the BONN-B free N N potentials in solving the Bruecker-Bethe-Goldstone equations for diverse nuclear densities. Folding of those with structure density matrices gives the so-called g-matrix optical potentials. Doing so without any localization and allowing for the Pauli principle gives direct and exchange terms making the optical potentials complex, non-local, and en
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