QRPA for description of states of multiphonon origin
- NázevTitle
- QRPA for description of states of multiphonon originQRPA for description of states of multiphonon origin
- Druh výsledkuResult type
- Příspěvek ve sborníkuProceedings paper
- AutořiAuthors
- A. Smetana, F. Šimkovic, M. Macko
- Klíčová slovaKeywords
- QRPA, multiphonon
- KonferenceConference
- Matrix Elements for the Double-beta-decay EXperiments (Prague, Czechia, 2015-06-09)
- DOIDOI
- 10.1063/1.4934911
- Časopis / citaceJournal / citation
- In: AIP Conference Proceedings 1685, AIP Publishing LLC, 2015, pp. 020022 · ISSN 0094-243X
- RokYear
- 2015
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- LSM/ULISSE - Projekt LSM/ULISSE ? příspěvek k rozšíření velké výzkumné infrastruktury evropského významu (podzemní laboratoř a výstavba detektoru SuperNEMO, pokračování české účasti) - LM2011027 (2012–2015)LSM/ULISSE - Projekt LSM/ULISSE ? příspěvek k rozšíření velké výzkumné infrastruktury evropského významu (podzemní laboratoř a výstavba detektoru SuperNEMO, pokračování české účasti) - LM2011027 (2012–2015); Institucionální podpora na rozvoj výzkumné org.Institucionální podpora na rozvoj výzkumné org.
- CitovánoCited by
- 1 (INSPIRE-HEP)
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
We propose a novel extension of the standard quasiparticle random phase approximation (QRPA) with a new form of phonon operator, which allows to describe also states of multiphonon origin. We denote this method as QRPA with non-linear phonon operator (nlQRPA) and apply it to the proton-neutron Lipkin model. We consider the simplest non-linear extension of a phonon operator where the RPA equation can be transformed into a standard form. That guarantees the orthonormality and completeness of the QRPA states of one-phonon and three-phonon origin. A rather good agreement is found both for energies and beta transition amplitudes with those obtained by a diagonalization of the schematic Hamiltonian. There is straightforward way to extend this approach also for a realistic nuclear structure calculations.
We propose a novel extension of the standard quasiparticle random phase approximation (QRPA) with a new form of phonon operator, which allows to describe also states of multiphonon origin. We denote this method as QRPA with non-linear phonon operator (nlQRPA) and apply it to the proton-neutron Lipkin model. We consider the simplest non-linear extension of a phonon operator where the RPA equation can be transformed into a standard form. That guarantees the orthonormality and completeness of the QRPA states of one-phonon and three-phonon origin. A rather good agreement is found both for energies and beta transition amplitudes with those obtained by a diagonalization of the schematic Hamiltonian. There is straightforward way to extend this approach also for a realistic nuclear structure calculations.