Abstract

We study the Coulomb breakup cross section of the22C nucleus and its relation with three-body resonances and ground state properties. Cross sections are computed with a Coulomb corrected four-body eikonal model and they are constructed by fixing the continuum state and varying the ground state of22C. These states are calculated by using20C-n potentials that provide different scattering lengths and resonance energies, of a presumed virtual state and of a d resonance in21C. We find that the breakup cross section is strongly dependent on the ground state properties and we predict the existence of a 2+ narrow resonance in22C.

Highlights

  • The 22C nucleus is the heaviest Borromean nucleus known so far

  • We study the Coulomb breakup cross section of the 22C nucleus and its relation with three-body resonances and ground state properties

  • Cross sections are computed with a Coulomb corrected four-body eikonal model and they are constructed by fixing the continuum state and varying the ground state of 22C

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Summary

Introduction

The 22C nucleus is the heaviest Borromean nucleus known so far. Its deduced rms radius, rrms, and two neutron separation energy, S2n, present large uncertainties (rrms = 5.4 ± 0.9 fm [1] and, S2n = 0.42 ± 0.94 MeV [1] and S2n < 300 keV [2]). We study the Coulomb breakup cross section of the 22C nucleus and its relation with three-body resonances and ground state properties. Cross sections are computed with a Coulomb corrected four-body eikonal model and they are constructed by fixing the continuum state and varying the ground state of 22C. These states are calculated by using 20C−n potentials that provide different scattering lengths and resonance energies, of a presumed virtual state and of a d resonance in 21C.

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