Short-range correlations and neutrinoless double beta decay

Kortelainen, M. J.; Civitarese, O.; Suhonen, J.; Toivanen, J.

doi:10.1016/j.physletb.2007.01.054

Cited by 143 publications

(142 citation statements)

References 22 publications

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“…It has an important role for deformed nuclei, especially when the deformations of the mother and daughter nuclei are considerably different. The factor f CD (r ) takes into account the nucleon-nucleon short-range correlations (SRC) [32,45] and here we use the CD-Bonn form [46] with the parametrization…”

Section: Neutrinoless Double-beta Decaysmentioning

confidence: 99%

“…The g pp parameter has usually been adjusted by fitting this value to the measured 2νββ-decay half-life [32][33][34]60,61], to the log f t values of β decays [62,63], or to both β and 2νββ decays [64,65]. In this work, we adopt an improved method introduced in Ref.…”

Section: A Determination Of Model Parametersmentioning

confidence: 99%

“…The value of the isovector part of the particle-particle parameter, g T =1 pp , on the other hand, is determined by the isospin-restoration scheme. We extend the studies of [29,[32][33][34] by using large no-core singleparticle bases in order to reliably describe the IVSD J π = 2 − giant-resonance region and to see how the extension of the valence space affects the magnitudes of the 0νββ NMEs for the nuclei of interest. We also extend our previous work [35] by studying the impact of the value of the parameter g ph (2 − ) on the magnitude of the 0νββ NME, when adjusted to describe the energy of the measured IVSD J π = 2 − giant resonance separately.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Neutrinoless Double-beta Decaysmentioning

confidence: 99%

Section: A Determination Of Model Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2018

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“…So far much effort has been paid for the accurate calculation of the NME. Several methods have been developed for that, the most used being: ORPAbased [6]- [9], [10]- [12], Shell model-based [13]- [17], IBA-2 [18], Energy Density Functional Method [19], PHFB [20]. The NME have been calculated for all the transitions, decay modes and isotopes of interest, and the uncertainties in their estimation have been largely discussed during time in literature.…”

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confidence: 99%

New calculations for phase space factors involved in double-βdecay

2013

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We present new results for the phase space factors involved in double beta decay for β − β − transitions to ground states and excited 0 + 1 states, for isotopes of experimental interest. The Coulomb distortion of the electron wave functions is treated by solving numerically the Dirac equation with inclusion of the finite nuclear size and electron screening effects, and using a Coulomb potential derived from a realistic proton density distribution in the daughter nucleus. Our results are compared with other results from literature, obtained in different approximations, and possible causes that can give differences are discussed. Introduction Within the Standard Model (SM) the double beta decay (DBD) can occur through several decay modes, but the only measured at present is that with the emission of two electrons and two antineutrinos (2νβ − β − ) and which conserves the lepton number. However, beyond SM theories allows this process to occur without emission of neutrinos as well, and this possibility makes DBD a nuclear process of major interest for testing the lepton number conservation (LNC) and for understanding the neutrino properties. There are recent excellent reviews, containing also a comprehensive list of references [1] - [5], where the reader can find a complete information on this subject. The DBD lifetimes can be factorized, in a good approximation, as follows:

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“…Refs. [4][5][6] treated short-range correlations through the Unitary-Correlation Operator Method (UCOM), which has the advantages of wave-function overlap preservation and a range of successful applications [7]. Refs.…”

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confidence: 99%

Jastrow functions in double-βdecay

2011

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We use simple analytic considerations and a Monte Carlo calculation of nucleons in a box to argue that the use of Jastrow functions as short-range correlators in the commonly employed twobody-cluster approximation causes significant errors in the matrix elements for double-beta decay.The Jastrow approach appears to agree with others, however, if many-body clusters are included.A careful treatment of the charge-changing analog of the nuclear pair density shows, in addition, that differences between Unitary Correlator Operator Method and Brueckner methods for treating short-range correlations in double-beta are less significant than suggested by previous work.

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Short-range correlations and neutrinoless double beta decay

Cited by 143 publications

References 22 publications

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

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

New calculations for phase space factors involved in double-βdecay

Jastrow functions in double-βdecay

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