Evolution of Efimov states into the continuum in neutron rich (2n–core) nuclei — A general study

I Mazumdar,V.S Bhasin,A.R.P Rau

doi:10.1016/j.physletb.2011.08.062

I Mazumdar, V.S Bhasin + Show 1 more

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https://doi.org/10.1016/j.physletb.2011.08.062

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Abstract

The nuclear three-body system, with two halo neutrons very weakly coupled to a heavy core, is studied to investigate necessary conditions for the occurrence of Efimov states. Extending the analysis to the scattering sector, we find that these states evolve into Feshbach type resonances. This behaviour is very similar to the 20C nucleus in which the occurrence of Efimov states evolving into resonances in the elastic scattering of n– 19C system has been investigated in recent publications. This work, thereby, extends the study of the Efimov effect beyond 20C, showing that 32Ne and 38Mg exhibit a very similar dynamical structure. These nuclei are, therefore, also candidates for probing experimentally the Efimov effect.

Highlights

The nuclear three-body system, with two halo neutrons very weakly coupled to a heavy core, is studied to investigate necessary conditions for the occurrence of Efimov states
∗Electronic address: indra@tifr.res.in study to provide evidence for the occurrence of Efimov states in this 20C(n-n-18C) system. It has been shown through numerical analysis and from analytical considerations that a non-Borromean halo nucleus like 20C in which the halo neutron is supposed to be in the intruder low-lying bound state with the core, appear to be a promising candidate to have at least one Efimov state
We have extended the analysis to the scattering sector in order to address the problem of the evolution of the bound Efimov state(s) in 20C with increasing n-core binding energy

Summary

Introduction

The nuclear three-body system, with two halo neutrons very weakly coupled to a heavy core, is studied to investigate necessary conditions for the occurrence of Efimov states. While there is no experimental observation yet of these states, attempts [2] have been made in recent years to identify 2n-rich halo nuclear systems that would be suitable candidates. It has been shown through numerical analysis and from analytical considerations that a non-Borromean halo nucleus like 20C in which the halo neutron is supposed to be in the intruder low-lying bound state with the core, appear to be a promising candidate to have at least one Efimov state.

Results

Conclusion