We demonstrate that the radii of excited nuclear states can be estimated using the (3He, t) charge-exchange reaction and relying on the modified diffraction model.The radius of the 13 N excited state with an excitation energy of E*=2.37 MeV,which lies in a continuous spectrum, is determined. The radius of this state proves to be close to that of the mirror 3.09-MeV state of the 13 C nucleus, which possesses a neutron halo but lies in a discrete spectrum. Thereby, we demon- strate that the 2.37-MeV state of the 13 N nucleus has a proton halo. The analysis is based on published measurements of differential cross sections for relevant reactions.

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This work is licensed under a Creative Commons Attribution 4.0 International License.