Abstract
Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the \boldsymbol{^9}9Be nucleus, showing a good agreement with the available data for its low-lying dipole response. Then, recent results on the structure and decay of the two-neutron emitters \boldsymbol{^{26}}26O and \boldsymbol{^{16}}16Be are presented. In particular, the role of the \boldsymbol{n}𝐧-\boldsymbol{n}𝐧 correlation in shaping their properties is discussed.
Highlights
Recent advances in radioactive ion beam physics and detection techniques have triggered the exploration of the exotic properties and decay modes of light nuclear systems at the limit of stability and beyond the driplines
The resonant peak associated to the 0+ ground-state resonance is very well reproduced, and we show that the calculated spectra using different transformed harmonic oscillator (THO) bases are equivalent
We have presented recent results on the description of unbound states in three-body nuclear systems using a discrete-basis representation, the so-called pseudostate method
Summary
Recent advances in radioactive ion beam physics and detection techniques have triggered the exploration of the exotic properties and decay modes of light nuclear systems at the limit of stability and beyond the driplines. While the correlations between the valence neutrons are known to play a fundamental role in shaping the properties of two-neutron halo nuclei [2], a proper understanding of their structure requires solid constrains on the unbound binary subsystems 5He, 10Li or 13Be [3] The evolution of these correlations beyond the driplines gives rise to two-neutron emitters, e.g., 16Be or 26O [4, 5]. The Borromean 17Ne nucleus, characterized by the properties of its unbound subsystem 16F, has been proposed to exhibit a two-proton halo, while other exotic systems, such as 6Be and 11O (the mirror nuclei of 6He and 11Li, respectively), are two-proton emitters [6] Since they have a marked core+ N + N character, three-body models are a natural choice to describe their structure and processes involving them [7].
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