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arXiv · 2302.08382

Cross-shell states in $^{15}$C: a test for p-sd interactions

J. Lois-Fuentes·B. Fernández-Domínguez·X. Pereira-López·F. Delaunay·W. N. Catford·A. Matta·N. A. Orr·T. Duguet·T. Otsuka·V. Somà·O. Sorlin·T. Suzuki·N. L. Achouri·M. Assié·S. Bailey·B. Bastin·Y. Blumenfeld·R. Borcea·M. Caamaño·L. Caceres·E. Clément·A. Corsi·N. Curtis·Q. Deshayes·F. Farget·M. Fisichella·G. de France·S. Franchoo·M. Freer·J. Gibelin·A. Gillibert·G. F. Grinyer·F. Hammache·O. Kamalou·A. Knapton·Tz. Kokalova·V. Lapoux·B. Le Crom·S. Leblond·F. M. Marqués·P. Morfouace·J. Pancin·L. Perrot·J. Piot·E. Pollacco·D. Ramos·D. Regueira-Castro·C. Rodríguez-Tajes·T. Roger·F. Rotaru·M. Sénoville·N. de Séréville·R. Smith·M. Stanoiu·I. Stefan·C. Stodel·D. Suzuki·J. C. Thomas·N. Timofeyuk·M. Vandebrouck·J. Walshe·C. Wheldon
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Abstract

The low-lying structure of $^{15}$C has been investigated via the neutron-removal $^{16}$C$(d,t)$ reaction. Along with bound neutron sd-shell hole states, unbound p-shell hole states have been firmly confirmed. The excitation energies and the deduced spectroscopic factors of the cross-shell states are an important measure of the $[(p)^{-1}(sd)^{2}]$ neutron configurations in $^{15}$C. Our results show a very good agreement with shell-model calculations using the SFO-tls interaction for $^{15}$C. However, a modification of the $p$-$sd$ and $sd$-$sd$ monopole terms was applied in order to reproduce the $N=9$ isotone $^{17}$O. In addition, the excitation energies and spectroscopic factors have been compared to the first calculations of $^{15}$C with the $ab~ initio$ self-consistent Green's function method employing the NNLO$_{sat}$ interaction. The results show the sensitivity to the size of the $N=8$ shell gap and highlight the need of going beyond the current truncation scheme in the theory.

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J. Lois-Fuentes, B. Fernández-Domínguez, X. Pereira-López, F. Delaunay, W. N. Catford, A. Matta, N. A. Orr, T. Duguet, T. Otsuka, V. Somà, O. Sorlin, T. Suzuki, N. L. Achouri, M. Assié, S. Bailey, B. Bastin, Y. Blumenfeld, R. Borcea, M. Caamaño, L. Caceres, E. Clément, A. Corsi, N. Curtis, Q. Deshayes, F. Farget, M. Fisichella, G. de France, S. Franchoo, M. Freer, J. Gibelin, A. Gillibert, G. F. Grinyer, F. Hammache, O. Kamalou, A. Knapton, Tz. Kokalova, V. Lapoux, B. Le Crom, S. Leblond, F. M. Marqués, P. Morfouace, J. Pancin, L. Perrot, J. Piot, E. Pollacco, D. Ramos, D. Regueira-Castro, C. Rodríguez-Tajes, T. Roger, F. Rotaru, M. Sénoville, N. de Séréville, R. Smith, M. Stanoiu, I. Stefan, C. Stodel, D. Suzuki, J. C. Thomas, N. Timofeyuk, M. Vandebrouck, J. Walshe, C. Wheldon. 2023-02-16. Cross-shell states in $^{15}$C: a test for p-sd interactions. https://arxiv.org/abs/2302.08382

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