Many-body correlations of quasiparticle random-phase approximation in nuclear matrix elements of neutrinoless<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>double</mml:mtext><mml:mo>−</mml:mo><mml:mi>β</mml:mi></mml:math>decay

Terasaki, J.

doi:10.1103/physrevc.91.034318

Cited by 37 publications

(66 citation statements)

References 62 publications

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“…Our results are smaller than that of ref. [11], which uses pp and nn QRPA. Except for QRPA most methods use the closure approximation, where one does not need to determine the intermediate states, but treat it by closure.…”

Section: T =0 Ppmentioning

confidence: 99%

Partial restoration of isospin symmetry for neutrinoless doubleβdecay in the deformed nuclear system ofNd150

2015

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In this work, we calculate the matrix elements for the 0νββ-decay of 150 Nd using the deformed pn-QRPA method. We adopted the approach introduced by Rodin and Faessler [Phys. Rev. C84, 014322 (2011)] and by Simkovic et. al. [Phys. Rev. C87,045501(2013)] to restore the isospin symmetry by enforcing M 2ν F = 0. We found that with this restoration, the Fermi matrix elements are reduced in the strongly deformed 150 N d by about 15 to 20%, while the more important GamowTeller matrix elements remain the same. The results of an enlarged model space are also presented. This enlargement increases the total (Fermi plus Gamow-Teller) matrix elements by less than 10%.PACS numbers: 23.40. Hc,23.40.Bw,27.70.+q The neutrinoless double beta decay (hereafter 0νββ-decay), if it exists, is one of the rarest processes in our universe. Its discovery could lead to the dawn of a era for new physics beyond the Standard Model. Various experiments search or are proposed to look for this exotic process. Currently, about a dozen isotopes have been confirmed to decay by the two-neutrino double beta decay (2νββ) mode (for a review see [1]). They are also good candidates for 0νββ-decay. Of these isotopes 150 Nd has a relative small 2νββ half-life as shown in Table I Recently, a new formalism [8,9] with restored isospin symmetry has been developed by the Tübingen group for QRPA calculations. With this new formalism, isospin conservation is obtained by setting the value of M 2ν F to zero. The results in ref. [9] show, that for spherical nuclei this new approach reduces the 0νββ Fermi matrix elements by about 30∼40%, while the more important Gamow-Teller contributions are unchanged. In this work we adopt this new formalism for the 0νββ-decay of strongly deformed 150 Nd. This is done by separating the renormalization of the particle-particle residual protonneutron interaction into the T=1 (g F , which should disappear according to isospin conservation. In the present work we restore (at least partially) the isospin symmetry for the first time in the QRPA approach for deformed nuclei and calculate the 0νββ-decay matrix element for the deformed 150 Nd nucleus. At first we give a brief review of our method. The QRPA states are defined as:

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Section: T =0 Ppmentioning

confidence: 99%

Partial restoration of isospin symmetry for neutrinoless doubleβdecay in the deformed nuclear system ofNd150

2015

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“…For deformed nuclei, and especially when the deformations of the mother and daughter nuclei are considerably different, the role of the overlap factor is important [43,44]. The quantities X and Y (X andȲ ) denote the pnQRPA amplitudes which stem from the calculation based on the left-side (right-side) nucleus.…”

Section: Two-neutrino Double-beta Decaysmentioning

confidence: 99%

Neutrinoless ββ nuclear matrix elements using isovector spin-dipole Jπ=2− data

et al. 2018

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Ground-state-to-ground-state neutrinoless double-beta (0νββ) decays in nuclei of current experimental interest are revisited. In order to improve the reliability of the nuclear matrix element (NME) calculations for the light Majorana-neutrino mode, the NMEs are calculated by exploiting the newly available data on isovector spindipole (IVSD) J π = 2 − giant resonances. In order to correctly describe the IVSD up to and beyond the giantresonance region, the present computations are performed in extended no-core single-particle model spaces using the spherical version of the proton-neutron quasiparticle random-phase approximation (pnQRPA) with twonucleon interactions based on the Bonn one-boson-exchange G matrix. The appropriate short-range correlations, nucleon form factors, higher-order nucleonic weak currents, and partial restoration of the isospin symmetry are included in the calculations. The results are compared with earlier calculations of Hyvärinen and Suhonen [Phys. Rev. C 91, 024613 (2015)] performed in much smaller single-particle bases without access to the IVSD J π = 2 − giant-resonance data reported here.

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“…VII of Ref. [15]. In other words, introduction of the product QRPA ground states is not sufficient for establishing equivalence for the two different path calculations of the NME.…”

Section: Charge-change Transition Matrix Elementmentioning

confidence: 98%

“…(22) were performed for (Kπ) = (2+) in 150 Nd → 150 Sm using the same setup as that used to calculate M (0ν) 2p2n in Ref. [15]. That is, the HFB solutions were common to both cases, and the cutoff parameters were chosen in such a way that the dimensions of the QRPA Hamiltonian matrix and the 0νββ-transition-operator matrix were close to those used in the calculation of M [15] were also used to calculate the overlaps of the pnQRPA intermediate states.…”

Section: Charge-change Transition Matrix Elementmentioning

confidence: 99%

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Two decay paths for calculating the nuclear matrix element of neutrinoless double-βdecay using quasiparticle random-phase approximation

Terasaki

2016

Phys. Rev. C

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It is possible to employ virtual decay paths, including two-particle transfer, to calculate the nuclear matrix element of neutrinoless double-beta decay under the closure approximation, in addition to the true double-beta path. In the quasiparticle random-phase approximation (QRPA) approach, it is necessary to introduce the product wave functions of the like-particle and protonneutron QRPA ground states, for achieving consistency between the calculations of the true and virtual paths. Using these different paths, the problem of whether or not these two methods give equivalent nuclear matrix elements (NME) is investigated. It is found that the two results are inequivalent, resulting from the different many-body correlations included in the two QRPA methods, i.e., the use of the product wave functions alone is not sufficient. The author proposes introduction of the proton-neutron pairing interaction with an adequate strength in the doublebeta-path method, which carries less many-body correlations without this supplemental interaction, for obtaining the NME equivalent to that of the two-particle-transfer-path method. The validity of the proposed modified approach is examined.

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Many-body correlations of quasiparticle random-phase approximation in nuclear matrix elements of neutrinolessdouble−βdecay

Cited by 37 publications

References 62 publications

Partial restoration of isospin symmetry for neutrinoless doubleβdecay in the deformed nuclear system ofNd150

Partial restoration of isospin symmetry for neutrinoless doubleβdecay in the deformed nuclear system ofNd150

Neutrinoless ββ nuclear matrix elements using isovector spin-dipole Jπ=2− data

Two decay paths for calculating the nuclear matrix element of neutrinoless double-βdecay using quasiparticle random-phase approximation

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