@article{10272/16675, year = {2019}, month = {7}, url = {http://hdl.handle.net/10272/16675}, abstract = {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.}, organization = {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.}, publisher = {Elsevier}, keywords = {Number conserving}, keywords = {Particle hole RPA}, keywords = {Number projected}, keywords = {HFB}, keywords = {Superfluid nuclei}, title = {Number conserving particle-hole RPA for superfluid nuclei}, doi = {10.1016/j.physletb.2019.07.003}, author = {Dukelsky, J. and García Ramos, José Enrique and Arias, J.M. and Pérez Fernández, Pedro and Schuck, P.}, }