New method for solution of coupled radial Schrödinger equations: application to the Borromean two-neutron halo nucleus 22C
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A generalized Prüfer transformation within the framework of the modified variable phase method has been used for numerical solution of coupled radial Schrödinger equations at negative energies. The method has been applied to calculations of the Borromean two-neutron halo nucleus 22C, for which an unusually large value of the matter radius has recently been extracted from measured reaction cross sections. The giant size can only be explained by an extremely loose binding that is, however, not yet known experimentally. Within the three-body cluster model we have explored the sensitivity of the 22C matter and charge radii and soft dipole mode excitations to the two-neutron separation energy.
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