Valence neutron properties relevant to the neutrinoless double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>130</mml:mn></mml:msup></mml:math>Te

Kay, B. P.; Bloxham, T.; McAllister, S. A.; Clark, J. A.; Deibel, C. M.; Freedman, S. J.; Freeman, S. J.; Han, K.; Howard, Alan; Mitchell, A. J.; Parker, P. D.; Schiffer, J. P.; Sharp, D. K.; Thomas, J. S.

doi:10.1103/physrevc.87.011302

Cited by 41 publications

(54 citation statements)

References 32 publications

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“…Although the extraction of single-particle strength using DWBA calculations is not discussed until the following section, it is useful at this point to consider the general picture of the strength distributions in the residual nuclei, which is illustrated in Figure 6; the comparison with particle-vibration coupling calculations will be discussed later. The general pattern of behavior is similar to that revealed in neutron-removal reactions on 134,136 Ba [29] and 128,130 Te [30]. The ground state in each case is a 3/2 + state carrying a significant fraction of the ex-pected d 3/2 strength, increasing with Z from around 64% in 137 Ba to 85% in 143 Sm.…”

Section: Methodssupporting

confidence: 71%

Neutron-hole strength in N=81 nuclei

et al. 2020

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A systematic study of neutron-hole strength in the N = 81 nuclei 137 Ba, 139 Ce, 141 Nd and 143 Sm is reported. The single-neutron removal reactions (p,d) and ( 3 He,α) were measured at energies of 23 and 34 MeV, respectively. Spectroscopic factors were extracted from measured cross sections through a distorted-wave Born approximation analysis and centroids of single-particle strength have been established. The change in these centroid energies as a function of proton number have been compared to calculations of the monopole shift for the s 1/2 and h 11/2 orbitals, where the majority of the strength has been observed. Significant fragmentation of strength was observed for the d and g 7/2 orbitals, particularly for the latter orbital which is deeply bound, with summed strengths that indicate a significant amount lies outside of the measured excitation energy range. *

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Section: Methodssupporting

confidence: 71%

Neutron-hole strength in N=81 nuclei

et al. 2020

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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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“…[3,5], where also the neutron vacancies and proton occupancies for 128 Te were given. The corresponding neutron occupancies are shown in Figs.…”

Section: A = 128 and 130 Nucleimentioning

confidence: 99%

“…Through the analysis of the experimental spectroscopic factors of stripping and pick-up reactions the occupation numbers of the orbits close to the Fermi level can be extracted. This has been recently done, or is under investigation at the moment, for neutrons or for both neutrons and protons in 76 Ge, 76 Se, 100 Mo, * jenni.kotila@jyu.fi † jbarea@udec.cl 100 Ru, 130 Te, 130 Xe, 136 Xe, 136 Ba, 150 Nd, and 150 Sm in a series of very careful experiments [1][2][3][4][5]. These nuclei are candidates to participate in neutrinoless double-β decay and recently the role of the chosen single-particle valence space and orbital occupancies has also become one of the central issues in the calculation of the double-β-decay nuclear matrix elements (NMEs) [1,2,[6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-βdecay

Kotila

Barea

2016

Phys. Rev. C

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. (2016). Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-β decay. Physical Review C, 94 (3), 034320. doi:10.1103/PhysRevC.94.034320 2016 PHYSICAL REVIEW C 94, 034320 (2016) Occupation probabilities of single particle levels using the microscopic interacting boson model:Application to some nuclei of interest in neutrinoless double-β decay We have developed a new method to calculate the occupancies of single particle levels in atomic nuclei. This method has been developed in the context of the microscopic interacting boson model, in which neutron and proton degrees of freedom are treated explicitly. The energies of the single particle levels constitute a very important input for the calculation of the occupancies in this method. In principle these energies can be considered as input parameters that can be fitted to reproduce the experimental occupancies. Instead of fitting, in this study we have extracted the single particle energies from experimental data on nuclei with a particle more or one particle less than a shell closure. We provide the sets of these single particle energies suitable for several major shells and apply our method to calculate the occupancies of several nuclei of interest in neutrinoless double-β decay using these sets. Our results are compared with other theoretical calculations and experimental occupancies, when available.

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Valence neutron properties relevant to the neutrinoless double-βdecay of130Te

Cited by 41 publications

References 32 publications

Neutron-hole strength in N=81 nuclei

Neutron-hole strength in N=81 nuclei

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

Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-βdecay

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