Two-proton emission half-lives in the effective liquid drop model

Gonçalves, Marco Antônio; Teruya, N.; Tavares, O. A. P.; Duarte, S. B.

doi:10.1016/j.physletb.2017.09.032

Cited by 70 publications

(62 citation statements)

References 43 publications

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“…Our WKB approach agrees very well with the semiclassical effective liquid drop model analysis of Ref. [81]. Figure 5 shows the Q 2p values predicted in BMA-I together with the lifetime range (14).…”

Section: E Two-proton Radioactivity: Lifetime Considerationssupporting

confidence: 82%

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: 82%

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

et al. 2020

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“…was observed for the first time in 45 Fe [9,10], and, later on, in 19 Mg [11], 48 Ni [12][13][14], and 54 Zn [15,16]. Interest in this exotic phenomenon has been envigorated by measurements of proton-proton correlations in the decay of 45 Fe [17], 19 Mg [18], and 48 Ni [14], which have demonstrated the unique threebody features of the process and -when it comes to theory -the sensitivity of predictions to the angular momentum decomposition of the 2p wave function. The highquality 2p decay data have called for the development of comprehensive theoretical approaches, capable of simultaneous description of structural and reaction aspects of the problem [4,5].…”

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confidence: 82%

Puzzling Two-Proton Decay of Kr67

Wang

Nazarewicz

2018

Phys. Rev. Lett.

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Ground-state two-proton (2p) radioactivity is a rare decay mode found in a few very proton-rich isotopes. The 2p decay lifetime and properties of emitted protons carry invaluable information on nuclear structure in the presence of a low-lying proton continuum. The recently measured 2p decay of ^{67}Kr turned out to be unexpectedly fast. Since ^{67}Kr is expected to be a deformed system, we investigate the impact of deformation effects on the 2p radioactivity. We apply the recently developed Gamow coupled-channel framework, which allows for a precise description of three-body systems in the presence of rotational and vibrational couplings. This is the first application of a three-body approach to a two-nucleon decay from a deformed nucleus. We show that deformation couplings significantly increase the 2p decay width of ^{67}Kr; this finding explains the puzzling experimental data. The calculated angular proton-proton correlations reflect a competition between 1p and 2p decay modes in this nucleus.

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“…Note that Mukha et al measured the 2p decay halflife of the 21 + isomer state of 94 Ag [52]. The measured half-life is 80 s. However, the calculated half-life with the GLDM is as long as 5.0×10 4 s. Previous studies suggested that the 21 + isomer of 94 Ag is assumed to be very strongly deformed nucleus [4,34,51,52]. A recent work of Goigoux et al suggested that the deformation of a nucleus played crucial role in the 2p decay half-life [10].…”

Section: Resultsmentioning

confidence: 96%

“…In columns 2 and 3, the experimental Q 2p values and the experimental logarithm half-lives are shown, respectively. The calculated logarithm half-lives by the GLDM, the ELDM [34], and an empirical formula of Ref. [51] are listed in the 4th-6th columns.…”

Section: Resultsmentioning

confidence: 99%

“…However, the improvement task is very difficult. Very recently, Gonçalves et al calculated the half-lives of the 2p radioactivity using the effective liquid drop model (ELDM) in the spherical nuclear approximation [34]. Within the ELDM, the 2p emission process was treated as the 2 He-cluster radioactivity and the calculated halflife values are in good agreement with the experimental data.…”

Section: Introductionmentioning

confidence: 83%

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Two-proton radioactivity within a generalized liquid drop model

et al. 2020

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The generalized liquid drop model (GLDM) is firstly extended to study the two-proton (2p) radioactivity half-lives of the ground-state of nuclei. According to the comparison between the calculated half-lives and the experimental data, it is shown that the GLDM describes the 2p radioactivity half-lives well. In addition, by comparing its accuracy with other models, it is found that the GLDM has a comparable accuracy with them. Finally, the 2p radioactivity half-lives of some most probable candidates are predicted with the GLDM by inputting the Q2p values (the released energy of the 2p radioactivity) from the updated AME 2016 Mass Table, which may be useful for future experiments.

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Two-proton emission half-lives in the effective liquid drop model

Cited by 70 publications

References 43 publications

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

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

Puzzling Two-Proton Decay of Kr67

Two-proton radioactivity within a generalized liquid drop model

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