Three-body continuum energy correlations in Borromean halo nuclei. III. Short-range external fields

Abstract

Energy correlations in transitions from the bound state to the three-body continuum of Borromean halo nuclei are considered. A core+n + n three-body cluster model which reproduces the experimentally known properties of 6 He and 11 Li has been used to study the low-lying resonances and soft modes. An analysis of the correlated responses in 6 He shows that in the case of the narrow three-body 2 + 1 resonance the transition energy correlations are the same as in the intrinsic correlated structure in 3 → 3 scattering. They differ significantly for wide 2 + 2 , 1 + 1 resonances, and also for the soft dipole and monopole modes, where, due to the transition operators, the intertwining of the ground state and the three-body continuum plays a significant role.

Four-body calculation ofHe6breakup with the Coulomb-corrected eikonal method

“…Previous studies involving final-state interactions were either indirect [26][27][28], i.e., based on first-order perturbation theory and on dipole strengths, or made use of a simpler treatment of the dynamics [31][32][33]. The advantage of the present eikonal approach is that Coulomb and nuclear effects appear at all orders and that the projectile-target motion is driven by the core-target and neutron-target optical potentials.…”

“…(49)] provide information about correlations. Such cross sections are displayed for J π = 1 − in the upper part of [33], where a broad 1 − peak is also visible. Since this resonance remains controversial, we do not show the total cross section.…”

“…[31][32][33]. In that method, the final-state wave function is approximated by the product of a projectile continuum wave function and a distorted wave describing the relative motion of the projectile and the target.…”

Direct and sequential radiative three-body reaction rates at low temperatures

“…(6) corresponding to E ′′ < E R < E r . When the widths Γ ab,c and Γ ab are both very small then the approximations (11) and (13) can be used simultaneously, and either Eq. (12) or (14) lead to the following expression for the energy averaged reaction rate:…”

“…In particular, a number of threebody problems are now all solvable at least within a certain requirement for the accuracy. The easiest of these problems are bound states [1,2] and perhaps resonances [3,4,5,6,7,8], whereas the more challenging are continuum structures in general [9,10,11]. The most demanding are reactions where the structures before and after the process are different [12,13,14].…”