Nonlinear Higher Quasiparticle Random Phase Approximation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F17%3A00318848" target="_blank" >RIV/68407700:21670/17:00318848 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.5007646" target="_blank" >http://dx.doi.org/10.1063/1.5007646</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5007646" target="_blank" >10.1063/1.5007646</a>

Result language
angličtina
Original language name
Nonlinear Higher Quasiparticle Random Phase Approximation
Original language description
We develop a new approach to describe nuclear states of multiphonon origin, motivated by the necessity for a more accurate description of matrix elements of neutrinoless double-beta decay. Our approach is an extension of the Quasiparticle Random Phase Approximation (QRPA), in which nonlinear phonon operators play an essential role. Before applying the nonlinear higher QRPA (nhQRPA) to realistic problems, we test its efficiency with exactly solvable models. The first considered model is equivalent to a harmonic oscillator. The nhQRPA solutions follow from the standard QRPA equation, but for nonlinear phonon operators defined for each individual excited state separately. The second exactly solvable model is the proton-neutron Lipkin model that describes successfully not only energy spectrum of nuclei, but also beta-decay transitions. Again, we reproduce exactly the numerical solutions in the nhQRPA framework. We show in particular that truncation of the nonlinear phonon operators leads to an approximation similar to the self-consistent second QRPA, given the phonon operators are defined with a constant term. The test results demonstrate that the proposed nhQRPA is a promising tool for a realistic calculation of energy spectra and nuclear transitions.
Czech name
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Czech description
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Project
<a href="/en/project/EF16_013%2F0001733" target="_blank" >EF16_013/0001733: Underground laboratory LSM - Czech participation to European-level research</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Workshop on Calculation of Double-Beta-Decay Matrix Elements (MEDEX´17)
ISBN
978-0-7354-1577-5
ISSN
0094-243X
e-ISSN
—
Number of pages
5
Pages from-to
—
Publisher name
AIP Conference Proceedings
Place of publication
New York
Event location
Praha
Event date
May 29, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000417388100021

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