Ab Initio Computation of Charge Densities for Sn and Xe Isotopes

Abstract

We present the first ab initio calculations for open-shell nuclei past the tin isotopic line, focusing on Xe isotopes as well as doubly magic Sn isotopes. We show that, even for moderately hard interactions, it is possible to obtain meaningful predictions and that the NNLO sat chiral interaction predicts radii and charge density distributions close to the experiment. We then make a new prediction for 100 Sn. This paves the way for ab initio studies of exotic charge density distributions at the limit of the present ab initio mass domain, where experimental data is becoming available. The present study closes the gap between the largest isotopes reachable by ab initio methods and the smallest exotic nuclei accessible to electron scattering experiments.

Moving away from singly-magic nuclei with Gorkov Green’s function theory

“…One does not observe a qualitatively different behaviour for 52 Cr, whose value of r ch slightly departs from experiment. A similar level of agreement between SCGF calculations and experiment was recently found for argon and calcium isotopes [35] and for 132 Sn, although theoretical error bars were lager for the latter case [11] .…”

“…Combined with the availability of "softer" Hamiltonians, obtained via similarity renormalisation group (SRG) transformations [3], such a favourable scaling progressively enabled the extension of first-principle calculations beyond the region of light nuclei traditionally targeted by ab initio practitioners. Nowadays, systems up to mass number A ∼ 70 can be routinely accessed [4,5,6,7,8], with a few attempts reaching out to neutron-deficient tin (A ∼ 100) [9,10] or even neutron-rich tin and xenon (A ∼ 140) [11] nuclei.…”

Investigation of the ground-state spin inversion in the neutron-rich Cl47,49 isotopes

“…[79] with the main goal of correcting for the poor saturation properties and unsatisfactory description of nuclear radii yielded by previous chiral Hamiltonians. Indeed, it has been shown to reproduce experimental charge radii all the way up to the nickel chain and mass A = 132 for Xe isotopes [77,80]. In addition, it leads to a good description of all observables that crucially rely on a correct account of the nuclear size, such as the electric dipole response [81] or electron-nucleus scattering cross sections [82].…”

Gorkov algebraic diagrammatic construction formalism at third order

“…Doing so, the reach of SCGF calculations was enlarged from the small set of doubly closed-shell nuclei to the much larger set of semi-magic nuclei. Applications have covered complete isotopic and isotonic chains around O, Ca and Ni [27][28][29][30][31][32], eventually stretching to heavier isotopes up to A=140 [33]. The Gorkov SCGF formalism has so far been been devised only for a second-order self-energy, i.e.…”