Two-fermion emission from spin-singlet and triplet resonances in one dimension

Abstract

Time-dependent calculation has been a suitable method to investigate the quantum dynamical processes. In Ref.[1] = [T. Oishi et al., J. of Phys. G 45, 105101 (2018)], we applied this method to the one-dimensional two-fermion tunneling in the nuclear-physics scale. Beside the specific results presented therein, some basic formalism and methods, which can be helpful for further discussions and developments to investigate time-dependent quantum systems, have been awaiting our description. This note is devoted to describe those supplemental contents. We do not limit the story to the nuclear physics, but keep it applicable to other scales and/or targets.

An overview of the scientific contribution of Andrea Vitturi to nuclear physics

“…For the pairing correlation of the emitted fermions, in Ref. [85], the short-range attraction v 12 (x 1 − x 2 ) is employed. The core-fermion potential V C (x i ), on the other side, includes the repulsive-barrier and the attractive-well terms, consistently to the realistic radioactive systems.…”

“…By monitoring the time evolution of the 2F state, remarkable features of the 2F-tunneling process have been found [85], that is here summarized:…”

“…For this purpose, time-dependent (TD) multi-particle models provide a suitable solution, see Ref. [85] and references therein.…”

“…In this section, we introduce the basic idea and formalism of TD model. We also review the results of TD calculation applied to the two-fermion (2F) tunneling in one-dimension [85], where the physical properties of twonucleon radioactivity can be characterized.…”

Two Rydberg-dressed atoms escaping from an open well

“…The problem of a few particles tunneling from an open well has received significant attention in recent years, and multiple theoretical works on the subject have been published. In most of these works [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45], the inter-particle * Jacek.Dobrzyniecki@ifpan.edu.pl interactions are assumed to be dominated by short-range forces, with only a few works [46][47][48][49] focusing on longrange interactions. However, longer-range interacting systems can show new, interesting properties.…”