Strength of the isoscalar pairing interaction determined by a relation between double-charge change and double-pair transfer for double-
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 decay

The nuclear matrix element (NME) of neutrinoless double-$$\beta $$ β ($$0\nu \beta \beta $$ 0 ν β β ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. Reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME, which depends on the calculation method. In this study, we focus on the shell model and the QRPA. The shell model has a rich amount of the many-particle many-hole correlations, and the quasiparticle random-phase approximation (QRPA) can obtain the convergence of the calculation results with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the $$0\nu \beta \beta $$ 0 ν β β NME with respect to the valence single-particle space. The many-body correlations of the QRPA may be insufficient, depending on the nuclei. We propose a new method to phenomenologically modify the results of the shell model and the QRPA compensating for the insufficiencies of each method using the information of other methods in a complementary manner. Extrapolations of the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the QRPA. Our modification method yields similar values of the $$0\nu \beta \beta $$ 0 ν β β NME for the two methods with respect to $$^{48}$$ 48 Ca. The NME of the two-neutrino double-$$\beta $$ β decay is also modified in a similar but simpler manner, and the consistency of the two methods is improved.

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“…No quenching factor was used actions, see Ref. [57] and the references therein. The calculations were performed using the M scheme.…”

Section: Methods With the Help Of Experimental Strength Functionmentioning

confidence: 99%

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Terasaki

Iwata

2021

Eur. Phys. J. Plus

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“…Ab initio calculations in principle allow a quantifica- (Menéndez, 2018), grey (Horoi and Neacsu, 2016b), lightgrey (Iwata et al, 2016) bars and grey stars (Coraggio et al, 2020)); QRPA: deformed in violet bars (Fang et al, 2018)), and spherical in magenta (Mustonen and Engel, 2013) and purple (Terasaki, 2015(Terasaki, , 2020Terasaki and Iwata, 2019) crosses, red circles ( Šimkovic et al, 2018b), and orange multiplication signs (Hyvarinen and Suhonen, 2015)); IBM: brown bars (Barea et al, 2015a;Deppisch et al, 2020a)); EDF theory: nonrelativistic in blue diamonds (Rodriguez and Martinez-Pinedo, 2010) tion of the theoretical uncertainties. The error bars in the ab initio results in Fig.…”

Section: Current Status and Uncertaintiesmentioning

confidence: 99%

“…FIG.8Nuclear matrix elements M 0ν for light-neutrino exchange from different many-body methods. NSM: black(Menéndez, 2018), grey(Horoi and Neacsu, 2016b), lightgrey(Iwata et al, 2016) bars and grey stars(Coraggio et al, 2020)); QRPA: deformed in violet bars(Fang et al, 2018)), and spherical in magenta(Mustonen and Engel, 2013) and purple(Terasaki, 2015(Terasaki, , 2020Terasaki and Iwata, 2019) crosses, red circles( Šimkovic et al, 2018b), and orange multiplication signs(Hyvarinen and Suhonen, 2015)); IBM: brown bars(Barea et al, 2015a;Deppisch et al, 2020a)); EDF theory: nonrelativistic in blue diamonds(Rodriguez and Martinez-Pinedo, 2010) and blue up-triangles(López Vaquero et al, 2013)), and relativistic in light-blue down-triangles(Song et al, 2017)); IMSRG: IM-GCM in the light green 48 Ca bar(Yao et al, 2020)), and valence space in green bars(Belley et al, 2021); and CC theory: dark green 48 Ca bar(Novario et al, 2021).…”

mentioning

confidence: 99%

Toward the discovery of matter creation with neutrinoless double-beta decay

Agostini¹,

Benato²,

Detwiler³

et al. 2022

Preprint

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The discovery of neutrinoless double-beta decay could soon be within reach. This hypothetical ultra-rare nuclear decay is a portal to new physics beyond the Standard Model. Its observation would constitute the discovery of a matter-creating process, corroborating leading theories of why the universe contains more matter than antimatter, and how the forces unify at high energy scales. It would also prove that neutrinos and antineutrinos are not two distinct particles, but can transform into each other, generating their own mass in the process. The recognition that neutrinos are not massless necessitates an explanation and has boosted interest in neutrinoless double-beta decay. The field is now at a turning point. A new round of experiments is currently being prepared for the next decade to cover an important region of parameter space. Advancements in nuclear theory are laying the groundwork to connect the nuclear decay with the underlying new physics. Meanwhile, the particle theory landscape continues to find new motivations for neutrinos to be their own antiparticle. This review brings together the experimental, nuclear theory, and particle theory aspects connected to neutrinoless double-beta decay, to explore the path toward -and beyond -its discovery.

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“…The isoscalar and isovector proton-neutron pairing interactions were also used for the QRPA calculation; for these interactions, see Ref. [57] and references therein. The calculations are performed in the M scheme.…”

Section: Modification Of Gt Component Of 0νββ Nme Of Shell Model a Me...mentioning

confidence: 99%

Estimation of nuclear matrix elements of double-$β$ decay from shell model and quasiparticle random-phase approximation

Terasaki,

Iwata

2021

Preprint

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The nuclear matrix element (NME) of the neutrinoless double-β (0νββ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME depending on the calculation method. In this paper, we focus on the shell model and the QRPA. The shell model have a rich amount of the many-particle many-hole correlations, and the QRPA can obtain the convergence of the result of calculation with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the 0νββ NME with respect to the valence single-particle space. The many-body correlations of the QRPA are insufficient depending on nuclei. We propose a new method to modify phenomenologically the results of the shell model and the QRPA compensating the insufficient point of each method by using the information of other method complementarily. Extrapolations of the components of the 0νββ NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the 0νββ NME of the QRPA. Our modification method gives similar values of the 0νββ NME of the two methods for 48 Ca. The discrepancy of the shell model and the QRPA for the NME of the two-neutrino double-β decay is much smaller than that for the 0νββ NME without major modifications.

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Strength of the isoscalar pairing interaction determined by a relation between double-charge change and double-pair transfer for double- β decay

Cited by 26 publications

References 50 publications

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Toward the discovery of matter creation with neutrinoless double-beta decay

Estimation of nuclear matrix elements of double-$β$ decay from shell model and quasiparticle random-phase approximation

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