Number conserving particle-hole RPA for superfluid nuclei
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 ref...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319304484 |
| _version_ | 1819070141906812928 |
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| author | J. Dukelsky J.E. García-Ramos J.M. Arias P. Pérez-Fernández P. Schuck |
| author_facet | J. Dukelsky J.E. García-Ramos J.M. Arias P. Pérez-Fernández P. Schuck |
| author_sort | J. Dukelsky |
| collection | DOAJ |
| description | 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. Keywords: Number conserving particle-hole RPA, Number projected HFB, Superfluid nuclei |
| first_indexed | 2024-12-21T17:01:14Z |
| format | Article |
| id | doaj.art-e94e41d0055340a094ea2b2ad9f4b354 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T17:01:14Z |
| publishDate | 2019-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e94e41d0055340a094ea2b2ad9f4b3542022-12-21T18:56:39ZengElsevierPhysics Letters B0370-26932019-08-01795537541Number conserving particle-hole RPA for superfluid nucleiJ. Dukelsky0J.E. García-Ramos1J.M. Arias2P. Pérez-Fernández3P. Schuck4Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, SpainDepartamento de Ciencias Integradas y Centro de Estudios Avanzados en Física, Matemática y Computación, Universidad de Huelva, 21071 Huelva, Spain; Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, Spain; Unidad Asociada de la Universidad de Huelva al IEM (CSIC), Madrid, Spain; Corresponding author at: Departamento de Ciencias Integradas y Centro de Estudios Avanzados en Física, Matemática y Computación, Universidad de Huelva, 21071 Huelva, Spain.Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, 41080 Sevilla, Spain; Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, SpainDepartamento de Física Aplicada III, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Camino de los Descubrimientos, 41092 Sevilla, Spain; Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, SpainInstitut de Physique Nucléaire, Université de Paris-Sud, CNRS-IN2P3, 15 rue G. Clemenceau, 91406 Orsay Cedex, France; Université de Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, FranceWe 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. Keywords: Number conserving particle-hole RPA, Number projected HFB, Superfluid nucleihttp://www.sciencedirect.com/science/article/pii/S0370269319304484 |
| spellingShingle | J. Dukelsky J.E. García-Ramos J.M. Arias P. Pérez-Fernández P. Schuck Number conserving particle-hole RPA for superfluid nuclei Physics Letters B |
| title | Number conserving particle-hole RPA for superfluid nuclei |
| title_full | Number conserving particle-hole RPA for superfluid nuclei |
| title_fullStr | Number conserving particle-hole RPA for superfluid nuclei |
| title_full_unstemmed | Number conserving particle-hole RPA for superfluid nuclei |
| title_short | Number conserving particle-hole RPA for superfluid nuclei |
| title_sort | number conserving particle hole rpa for superfluid nuclei |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319304484 |
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