Long-range versus short-range correlations in the two-neutron transfer reaction 
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Paes, B.; Santagati, G.; Vsevolodovna, R.I.M.; Cappuzzello, F.; Carbone, D.; Cardozo, E. N.; Cavallaro, M.; García-Tecocoatzi, H.; Gargano, A.; Ferreira, J. L.; Lenzi, S. M.; Linares, R.; Santopinto, E.; Vitturi, A.; Lubián, J.

doi:10.1103/physrevc.96.044612

Cited by 58 publications

(49 citation statements)

References 49 publications

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“…Because of this, any experimental information which may help to disentangle different model descriptions may be very important. Some examples include two-nucleon transfer reactions [20][21][22][23][24], nuclear structure studies of parent and daughter nuclei [25], the study of β [26,27] and 2νββ decays [18,[28][29][30][31][32], Single-Charge-Exchange (SCE) [33][34][35][36][37][38][39][40] and pion Double-Charge-Exchange (DCE) [41][42][43] reactions.…”

Section: Introductionmentioning

confidence: 99%

Heavy-ion double-charge-exchange and its relation to neutrinoless double- β decay

et al. 2018

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We introduce the formalism to describe heavy-ion Double-Charge-Exchange (DCE) processes in the eikonal approximation. We focus on the low-momentum-transfer limit -corresponding to the differential cross-section at θ = 0 • -and, for the first time, we show that it is possible to factorize the DCE cross-section in terms of reaction and nuclear parts. Whereas in the θ = 0 • case the nuclear part is a convolution of the beam and target nuclear matrix elements (NMEs), for θ = 0 • we demonstrate -for the first time-that the transition matrix elements can be written as the sum of Double-Gamow-Teller (DGT) and Double Fermi (DF) type parts, and that they can both be further factorized in terms of target and projectile NMEs. By making use of the Interacting Boson Model (IBM) formalism, we also show that the DGT and total parts of the neutrinoless doublebeta decay NMEs are in linear correlation with DCE-DGT NMEs. This confirms the hypothesis of a linear correlation between them, as introduced in [Phys. Rev. Lett. 120, 142502 (2018)]. The possibility of a Two-Step Factorization (TSF) of the very forward differential DCE-cross-section and the emergence of DGT and DF types for the DCE nuclear matrix elements, combined with a linear correlation between DCE-DGT and 0νββ NMEs, opens the possibility of placing an upper limit on neutrinoless double-beta decay NMEs in terms of the DCE experimental data at θ = 0 • .

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Section: Introductionmentioning

confidence: 99%

Heavy-ion double-charge-exchange and its relation to neutrinoless double- β decay

et al. 2018

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“…Recently, the formalism for two nucleon transfer reactions [168] [169] has been elaborated within the microscopic IBM-2 [170], [171] [172], [173], [174], [175]. This development is particularly appealing; indeed microscopic IBM allows one to calculate in a realistic way the transition matrix elements for heavy, medium nuclei and it has been exploited for the evaluation of 0νββ decay NMEs [176] [4].…”

Section: Competing Channelsmentioning

confidence: 99%

The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay

et al. 2018

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The article describes the main achievements of the NUMEN project together with an updated and detailed overview of the related R&D activities and theoretical developments. NUMEN proposes an innovative technique to access the nuclear matrix elements entering the expression of the lifetime of the double beta decay by cross section measurements of heavy-ion induced Double Charge Exchange (DCE) reactions. Despite the two processes, namely neutrinoless double beta decay and DCE reactions, are triggered by the weak and strong interaction respectively, important analogies are suggested. The basic point is the coincidence of the initial and final state many-body wave-functions in the two types of processes and the formal similarity of the transition operators. First experimental results obtained at the INFN-LNS laboratory for the 40 Ca( 18 O, 18 Ne) 40 Ar reaction at 270 MeV, give encouraging indication on the capability of the proposed technique to access relevant quantitative information.The two major aspects for this project are the K800 Superconducting Cyclotron and MAGNEX spectrometer. The former is used for the acceleration of the required high resolution and low emittance heavy ion beams and the latter is the large acceptance magnetic spectrometer for the detection of the ejectiles. The use of the high-order trajectory reconstruction technique, implemented in MAGNEX, allows to reach the experimental resolution and sensitivity required for the accurate measurement of the DCE cross sections at forward angles. However, the tiny values of such cross sections and the resolution requirements demand beam intensities much larger than manageable with the present facility. The on-going upgrade of the INFN-LNS facilities in this perspective is part of the NUMEN project and will be discussed in the article.3

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“…Since 0νββ decay is a unique, not yet observed process, it is a challenge also for theoretical models. Thus, information from other studies such as nucleon transfer reactions [14][15][16][17][18][19][20], the photonuclear reactions [21][22][23], the nuclear muon capture process [24][25][26], the study of single β [27][28][29], and 2νββ decays [29][30][31][32][33][34][35], as well as, single-charge-exchange [36][37][38][39][40][41][42][43], and pion double-charge-exchange [44][45][46] reactions are highly valuable in view of estimating the uncertainties of 0νββ decay calculations.…”

Section: Introductionmentioning

confidence: 99%

Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Kotila

2021

Universe

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Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

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Long-range versus short-range correlations in the two-neutron transfer reaction Ni64(O18,O

Cited by 58 publications

References 49 publications

Heavy-ion double-charge-exchange and its relation to neutrinoless double- β decay

Heavy-ion double-charge-exchange and its relation to neutrinoless double- β decay

The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay

Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

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