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
- DOIDOI
- 10.1063/1.4934911
- Časopis / citaceJournal / citation
- In: Workshop on Calculation of Double-Beta-Decay Matrix Elements (MEDEX'15). New York: AIP Conference Proceedings, 2015. p. 020022-1-020022-4. ISSN 0094-243X. ISBN 978-0-7354-1333-7.
- JazykLanguage
- eng
- WoSWoS
- 000371817300022
- ScopusScopus
- 2-s2.0-84984549642
- RIVRIV
- RIV/68407700:21670/15:00340222!RIV20-MSM-21670___
- 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.
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.