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Neutron transfer to the unbound states of 11Be and 13C
T. L. Belyaeva1, A. A Ogloblin², A. S. Demyanova², S. A.Goncharov³
1Universidad Autónoma de Estado de México, C. P. 50000, Toluca, México
2RRC Kurchatov Institute, Moscow RU-123182, Russia
3Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow 119991, Russia
The nucleon transfer reactions as well as the inelastic scattering data are valuable source of information about the halo properties of nuclei not only in the ground states, but in the excited states that is confirmed by recent studies of the halos in the excited nuclear states [1-3] . Our analysis  in the framework of the asymptotic normalization coefficients method of the differential cross sections of the 12C(d,p)13C and 10Be(d,p)11Be reactions populated the ground and the first excited bound states allowed us to reveal the halo properties of the first excited states of ¹³C and ¹¹Be. Now we extend this analysis to the unbound excited states lying above the neutron-emission thresholds of these nuclei. We present the results of the analysis of 12C(d,p)13C (5/2⁺, Ex = 3.854 MeV) reaction at incident deuteron energy of 11.8 and 30 MeV, and 10Be(d,p)11Be (5/2⁺, Ex = 1.785 MeV) reaction at incident deuteron energies of 25.0 MeV. Calculations are carried out within the coupled-reaction channels method for the direct neutron transfer with the FRESCO code  and are compared with the experimental data. The unbound states are treated as resonances with the given neutron width and the outgoing-wave asymptotic behavior using the real-valued bins in the continuum. Comparison is made with calculations where these states are presented as quasi-bound states with fictive negative energy ε = 0.01 MeV (Fig. 1). Calculations allowed us to deduce spectroscopic factors and the rms radii of nuclei in these excited states.
Fig.1 Comparison of the differential cross sections of the 10Be(d,p)11Be reaction populated 1.785-MeV 5/2+ state calculated with the resonant (dashed line) and quasi-bound (solid line) n + 10Be wave functions.
 A. A. Ogloblin et al. Phys. Rev. C 84, 054601 (2011).
 A. A. Ogloblin et al. AIP Conf. Proceed. 1224, 100 (2010).
 T. L. Belyaeva et al. Phys. Rev. C 90, 064610 (2014).
 I. J. Thompson, Comput. Phys. Rep. 7, 167 (1988).