Abstract
Universal aspects of few-body systems will be reviewed motivated by recent interest in atomic and nuclear physics. The critical conditions for the existence of excited states in three-body systems with two-identical particles will be explored. In particular, we consider halo nuclei that can be modeled as three-body nuclear systems, with two halo neutrons and a core. In this context, we also discuss the low-energy neutron 19 C elastic scattering, near the conditions for the appearance of an Efimov state.
Highlights
In order to understand the concept of universality in low-energy few-body systems and, in this context, describe low-energy properties of rich-neutron halo nuclei in a three-body model, we introduce here a historical review on some three-body properties and fewbody correlations which are well-known by the nuclear physicists
We point out that three-body low-energy properties have been quite well studied in the nuclear physics context since 1935 with Thomas [1], concerned with few-body aspects of nuclear physics, evidenced by some well-known correlations among low-energy nuclear-physics observables: Phillips line [2], Coester line [3] and Tjon line [4]
We briefly discuss another relevant effect that was discovered by Efimov [5] in the nuclear physics context when considering low-energy three identical particles
Summary
In order to understand the concept of universality in low-energy few-body systems and, in this context, describe low-energy properties of rich-neutron halo nuclei in a three-body model, we introduce here a historical review on some three-body properties and fewbody correlations which are well-known by the nuclear physicists. We point out that three-body low-energy properties have been quite well studied in the nuclear physics context since 1935 with Thomas [1], concerned with few-body aspects of nuclear physics, evidenced by some well-known correlations among low-energy nuclear-physics observables: Phillips line [2], Coester line [3] and Tjon line [4]. Such correlations will be discussed, together with analysis considering a few more recent works. One should realize that several low-energy few-body correlations, verified in few-nucleon systems, can be more deeply studied in atomic laboratories, considering the actual possibilities in varying the two-body interaction by using Feshbach resonance techniques [15]
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