Self-consistent Green's function calculations of¹⁶O at small missing energies

Abstract

Calculations of the one-hole spectral function of 16 O for small missing energies are reviewed. The self-consistent Green's function approach is employed together with the Faddeev equations technique in order to study the coupling of both particle-particle and particle-hole phonons to the single-particle motion. The results indicate that the characteristics of hole fragmentation are related to the low-lying states of 16 O and an improvement of the description of this spectrum, beyond the random phase approximation, is required to understand the experimental strength distribution. A first calculation in this direction that accounts for two-phonon states is discussed. §

First measurements of the 16O(e, e'pn)14N reaction

“…The LRC, describing the collective motion at low energy as well as the long-range part of TC, were computed using the self consistent Green's function (SCGF) formalism [2] in an appropriate harmonic oscillator basis. The effects of SRC due to the central and tensor part at high momenta were added by computing the appropriate defect functions.…”

Electromagnetic proton-neutron knockout off 16O : New achievements in theory

“…The two-nucleon overlap function (TOF) ψ i contains information on nuclear structure and correlations. For the case of proton-neutron emission from 16 O different approaches are used in [8,14,15] to calculate the TOF.…”

“…In the more sophisticated approach of [8], that we call SF-B, the TOF was computed partitioning the Hilbert space in order to determine the contribution of long-range correlations (LRC) and SRC separately. The LRC, describing the collective motion at low energy as well as the long range part of TC, were computed using the self-consistent Green's function formalism [16] in an appropriate harmonic-oscillator (h.o.) basis.…”

“…Special emphasis is devoted to the description of the various improvements performed in comparison with earlier work. Numerical results for the exclusive 16 O(e,e ′ pn) 14 N and 16 O(γ,pn) 14 N reactions in different kinematics are presented in sect. III.…”

First measurements of the 16O(e, e'pn)14N reaction

“…However, it has been shown that it is necessary to include two-nucleon correlations beyond the mean field in order to describe some basic nuclear properties such as binding energy [1,2].…”