Microscopic Description of 
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 Decay in 
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Mercier, F.; Zhao, Jie; Ebran, J.-P.; Khan, E.; Nikšić, Tamara; Vretenar, Dario

doi:10.1103/physrevlett.127.012501

Cited by 17 publications

(4 citation statements)

References 37 publications

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“…Whilst other methods can find a least-action trajectory for an arbitrary final point placed on the OTL, as done, e.g., in Refs. [17][18][19][20][21][22][23], they cannot guarantee that this trajectory is stationary. All such trajectories can be gradually transformed into a stationary pathway by moving the final point along the OTL towards the exit point, see Fig.…”

Section: Discussionmentioning

confidence: 99%

“…In the early application [14], the trial pathways were assumed in a parametrized form and the LAP was obtained by minimizing the penetration integral with respect to the variational parameters. Gridbased techniques such as the dynamic-programming [15] and Ritz [16] methods have been used in numerous EDF calculations of LAPs [17][18][19][20][21][22][23]. In Refs.…”

Section: Introductionmentioning

confidence: 99%

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Nudged elastic band approach to nuclear fission pathways

Flynn¹,

Lay²,

Agbemava³

et al. 2022

Preprint

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Background:The nuclear fission process is a dramatic example of the large-amplitude collective motion in which the nucleus undergoes a series of shape changes before splitting into distinct fragments. This motion can be represented by a pathway in the many-dimensional space of collective coordinates. The collective action along the fission pathway determines the spontaneous fission half-lives as well as mass and charge distributions of fission fragments. Purpose: We study the performance and precision of various methods to determine the minimumaction and minimum-energy fission trajectories in the collective space. Methods: We apply the nudged elastic band method (NEB), grid-based methods, and Euler-Lagrange approach to the collective action minimization in two-and three-dimensional collective spaces.Results: The performance of various approaches to the fission pathway problem is assessed by studying the collective motion along both analytic energy surfaces and realistic potential energy surfaces obtained with the Skyrme-Hartree-Fock-Bogoliubov theory. The uniqueness and stability of the solutions is studied. The NEB method is capable of efficient determination of the exit points on the outer turning surface that characterize the most probable fission pathway and constitute the key input for fission studies. This method can also be used to accurately compute the critical points (i.e., local minima and saddle points) on the potential energy surface of the fissioning nucleus that determine the static fission path. The dynamic programming method also performs quite well and it can be used in many-dimensional cases to provide initial conditions for the NEB calculations. Conclusions: The NEB method is the tool of choice for finding the least-action and minimumenergy fission trajectories. It will be particularly useful in large-scale fission calculation of superheavy nuclei and neutron-rich fissioning nuclei contributing to the astrophysical r-process recycling.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nudged elastic band approach to nuclear fission pathways

Flynn¹,

Lay²,

Agbemava³

et al. 2022

Preprint

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show abstract

“…Note added in proofs. After appearance of eprint version of this work [29], very recently 2 decay of 212 Po and 224 Ra was described in a microscopic framework based on energy density functional [30]. The calculated half-lives for two alpha particles emitted in opposite directions were found to be 20 (13) orders of magnitude lower for 212 Po ( 224 Ra) in comparison with those obtained with semi-empirical formula for 8 Be emission [23].…”

Section: Discussionmentioning

confidence: 99%

Untitled

2021

Nucl. Phys. At. Energy

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Nuclear decays with simultaneous emission of two alpha particles are energetically possible for a number of nuclides. Prospects of searching for such kind of decay for nuclides present in the natural isotopic composition of elements are discussed here. The first experimental limit on half-life for 2 decay is set for 209 Bi as T 1/2 > 2.910 20 y at 90 % C.L., using the data of work [P. de Marcillac et al. Nature 422 (2003) 876]. Theoretical T 1/2 estimations for the process are also given. Using these values, which are on the level of 10 33 y or more, one can conclude that the prospects of experimental observation of 2 decay are very pessimistic.

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“…Alpha decay is also an essential process in astrophysics and helps us understand the formation of elements in the universe. As the most important way of decay between heavy and super heavy nuclei, alpha-decay opened an area for researchers to discover new and exotic unstable nuclei and isotopes [1][2][3][4][5][6][7][8][9]. The study of alpha-decay, as an important area to realize the nuclear structure, is a powerful way to understand the amounts of spin, parity, ground state energy, nuclear radius, electric quadrupole moment, the island of stability, and many other nuclear features.…”

Section: Introductionmentioning

confidence: 99%

Improved calculation of alpha decay half-life by incorporating nuclei deformation shape and proximity potential

Yazdankish,

Nejatolahi

2023

Phys. Scr.

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Accurate evaluation of alpha decay half-life is important for understanding nuclear stability, ensuring nuclear safety, optimizing medical treatments, and studying astrophysical processes. Considering the deformed shape of nuclei, we calculated the alpha-decay half-life of 359 nuclei using the proximity potential. In addition, we employed the Wentzel-Kramers-Brillouin approximation to compute the penetration probability through the potential barrier comprising nuclear, Coulomb, and centrifugal potentials. Our calculations revealed that the penetration probability, and hence the alpha-decay half-life, depend on the direction of alpha particle emission relative to the axial symmetry of the parent nuclei. Furthermore, our results suggested that the dependence of alpha-decay on parent nuclei temperature needs to be reassessed. We tabulated the alpha-decay half-life for various nuclei, and our results shown better agreement with experimental data compared to theoretical data in the literature.

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Microscopic Description of 2α Decay in Po212 and

Cited by 17 publications

References 37 publications

Nudged elastic band approach to nuclear fission pathways

Nudged elastic band approach to nuclear fission pathways

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Improved calculation of alpha decay half-life by incorporating nuclei deformation shape and proximity potential

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