Dependence of two-proton radioactivity on nuclear pairing models

Oishi, T.; Kortelainen, M. J.; Pastore, Alessandro

doi:10.1103/physrevc.96.044327

Cited by 19 publications

(55 citation statements)

References 73 publications

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“…This is not inconsistent with the low Q 2p value predicted in BMA-I. Other 2p-decay candidates predicted by BMA-I discussed in the literature include: 26 [43] to exhibit a competition between alpha decay and 2p radioactivity, is expected to have T 2p > 0.1 s. In 145 Hf, alpha decay is predicted [43] to compete with sequential pp emission.…”

Section: E Two-proton Radioactivity: Lifetime Considerationssupporting

confidence: 56%

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Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

et al. 2020

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Background: The limits of the nuclear landscape are determined by nuclear binding energies. Beyond the proton drip lines, where the separation energy becomes negative, there is not enough binding energy to prevent protons from escaping the nucleus. Predicting properties of unstable nuclear states in the vast territory of proton emitters poses an appreciable challenge for nuclear theory as it often involves far extrapolations. In addition, significant discrepancies between nuclear models in the proton-rich territory call for quantified predictions.Purpose: With the help of Bayesian methodology, we mix a family of nuclear mass models corrected with statistical emulators trained on the experimental mass measurements, in the proton-rich region of the nuclear chart.Methods: Separation energies were computed within nuclear density functional theory using several Skyrme and Gogny energy density functionals. We also considered mass predictions based on two models used in astrophysical studies. Quantified predictions were obtained for each model using Bayesian Gaussian processes trained on separation-energy residuals and combined via Bayesian model averaging. Results:We obtained a good agreement between averaged predictions of statistically corrected models and experiment. In particular, we quantified model results for one-and two-proton separation energies and derived probabilities of proton emission. This information enabled us to produce a quantified landscape of proton-rich nuclei. The most promising candidates for two-proton decay studies have been identified. Conclusions:The methodology used in this work has broad applications to model-based extrapolations of various nuclear observables. It also provides a reliable uncertainty quantification of theoretical predictions.

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Section: E Two-proton Radioactivity: Lifetime Considerationssupporting

confidence: 56%

“…In addition, several broad resonances associated with 2p decay were reported in, e.g., 6 Be [19] and 11,12 O [20,21]. The unique experimental data on lifetimes and correlations between emitted protons has triggered considerable theoretical interest [22][23][24][25][26][27][28].…”

mentioning

confidence: 99%

Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

et al. 2020

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“…Beyond the potential barrier, the two emitted protons tend to gradually separate due to the repulsive Coulomb interaction. The behavior of the two protons below the barrier can be understood by the influence of pairing which favors low angular momentum amplitudes; hence, it effectively lowers the centrifugal barrier and increases the probability for the two protons to decay by tunnelling [49,[68][69][70].…”

Section: Angular Correlationsmentioning

confidence: 99%

Structure and decay of the extremely proton-rich nuclei O11,12

et al. 2019

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Background: The recent observation of the unbound nucleus 11 O offers the unique possibility to study how the structure and dynamics of two-proton (2p) decay is affected by the removal of one neutron from 12 O, and provides important information on the Thomas-Ehrman effect in the mirror pairs 11 8 O3-11 3 Li8 and 12 8 O4-12 4 Be8, which involve the 2p emitters 11 O and 12 O.Purpose: We investigate how continuum effects impact the structure and decay properties of 11 O and 12 O, and their mirror partners. Methods:We solve the three-body core-nucleon-nucleon problem using the Gamow coupled-channel (GCC) method. The GCC Hamiltonian employs a realistic finite-range valence nucleon-nucleon interaction and the deformed cores of 9,10 C, 9 Li, and 10 Be. Results:We calculate the energy spectra and decay widths of 11 O and 12 O as well as those of their mirror nuclei. In particular, we investigate the dynamics of the 2p decay in the ground state of 12 O by analyzing the evolution of the 2p configuration of the emitted protons as well as their angular correlations in the coordinate space. We also show how the analytic structure of the resonant states of 10 Li and 10 N impacts the low-lying states of 11 Li and 11 O. Conclusions:We demonstrate that, in both nuclei 11 O and 12 O, there is a competition between direct and "democratic" 2p ground-state emission. The broad structure observed in 11 O is consistent with four broad resonances, with the predicted 3/2 − 1 ground state strongly influenced by the broad threshold resonant state in 10 N, which is an isobaric analog of the antibound (or virtual) state in 10 Li.

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“…This result is consistent with those presented in Refs. [17,18] for the ground-state resonance of 16 Be. The second maximum in Fig.…”

Section: Application To 16 Bementioning

confidence: 99%

“…In Sec. III, the formalism is applied to 16 Be, and the reliability of the theoretical approach is discussed by comparing with previous results. Finally, Sec.…”

Section: Introductionmentioning

confidence: 97%

Identifying structures in the continuum: Application to Be16

Casal¹,

Gómez‐Camacho

2019

Phys. Rev. C

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Background: The population and decay of two-nucleon resonances offer exciting new opportunities to explore dripline phenomena. A proper understanding of these systems requires a solid description of the three-body (core + N + N ) continuum. The identification of a state with resonant character from the background of nonresonant continuum states in the same energy range poses a theoretical challenge.Purpose: Establish a robust theoretical framework to identify and characterize three-body resonances in a discrete basis, and apply the method to the two-neutron unbound system 16 Be.Method: A resonance operator is proposed, which describes the sensitivity to changes in the potential. Resonances, understood as normalizable states describing localized continuum structures, are identified from the eigenstates of the resonance operator with large negative eigenvalues. For this purpose, the resonance operator is diagonalized in a basis of Hamiltonian pseudostates, which in the present work are built within the hyperspherical harmonics formalism using the analytical transformed harmonic oscillator basis. The energy and width of the resonance are determined from its time dependence.Results: The method is applied to 16 Be in a 14 Be + n + n model. An effective core + n potential, fitted to the available experimental information on the binary subsystem 15 Be, is employed. The 0 + ground state resonance of 16 Be presents a strong dineutron configuration. This favors the picture of a correlated two-neutron emission. Fitting the three body interaction to the experimental two-neutron separation energy |S2n| = 1.35(10) MeV, the computed width is Γ(0 + ) = 0.16 MeV. From the same Hamiltonian, a 2 + resonance is also predicted with εr(2 + ) = 2.42 MeV and Γ(2 + ) = 0.40 MeV. Conclusions:The dineutron configuration and the computed 0 + width are consistent with previous R-matrix calculations for the true three-body continuum. The extracted values of the resonance energy and width converge with the size of the pseudostate basis and are robust under changes in the basis parameters. This supports the reliability of the method in describing the properties of unbound core + N + N systems in a discrete basis.

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Dependence of two-proton radioactivity on nuclear pairing models

Cited by 19 publications

References 73 publications

Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

Structure and decay of the extremely proton-rich nuclei O11,12

Identifying structures in the continuum: Application to Be16

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