RT Journal Article T1 Number conserving particle-hole RPA for superfluid nuclei A1 Dukelsky, J. A1 García Ramos, José Enrique A1 Arias, J.M. A1 Pérez Fernández, Pedro A1 Schuck, P. AB We present a number conserving particle-hole RPA theory for collective excitations in the transition from normal to superfluid nuclei. The method derives from an RPA theory developed long ago in quantum chemistry using antisymmetric geminal powers, or equivalently number projected HFB states, as reference states. We show within a minimal model of pairing plus monopole interactions that the number conserving particle-hole RPA excitations evolve smoothly across the superfluid phase transition close to the exact results, contrary to particle-hole RPA in the normal phase and quasiparticle RPA in the superfluid phase that require a change of basis at the broken symmetry point. The new formalism can be applied in a straightforward manner to study particle-hole excitations on top of a number projected HFB state. PB Elsevier SN 0370-2693 YR 2019 FD 2019-07 LK http://hdl.handle.net/10272/16675 UL http://hdl.handle.net/10272/16675 LA eng NO Dukelsky, J., García Ramos, J. E., Arias, J. M., Pérez Fernández, P., Schuck, P. (2019). Number conserving particle-hole RPA for superfluid nuclei. Physics Letters B, 795, 537–541. DOI: https://doi.org/10.1016/j.physletb.2019.07.003 NO This work has been partially supported by the Consejeria de Economia, Conocimiento, Empresas y Universidad de la Junta de Andalucia(Spain) under Groups FQM-160 and FQM-370 and by European Regional Development Fund (ERDF), ref. SOMM17/6105/UGR. We acknowledge financial support from the Spanish Ministerio de Ciencia, Innovacion y Universidades and the ERDF under Projects No. FIS2015-63770-P, FIS2017-88410-P and PGC2018-094180-B-I00. Resources supporting this work were provided by the CEAFMC and Universidad de Huelva High Performance Computer (HPC@UHU) funded by FEDER/MINECO project UNHU-15CE-2848. DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026