Systematics of α -decay fine structure in odd-mass nuclei based on a finite-range nucleon–nucleon interaction

Adel, A.; Alharbi, T.

doi:10.1016/j.nuclphysa.2018.04.003

Cited by 18 publications

(5 citation statements)

References 52 publications

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“…The estimated preformation probability in Fig. 1(c) coincides with that obtained in different previous studies [7,43,44]. Figure 1(b) shows that the α-particle is formed within the region around the proton and neutron half-density radii of the parent nucleus.…”

Section: Theoretical Formalismsupporting

confidence: 86%

“…represents the radial wave function, , that can be obtained by numerically solving Eq. (7). On the time scale, the half-lives in comparison to the observed α-decays of radioactive nuclei (1 μs -billions of years) are significantly longer than the times of standard nuclear motions (10 -21 s).…”

Section: Theoretical Formalismmentioning

confidence: 96%

“…It is then conceivable to think about the cluster as a solitary unit, and to depict its conduct without reference to its interior structure. One of the most dominant cluster nuclei that have been used to study the nuclear structure of heavy nuclei is the α-cluster nucleus because of its high accuracy experimental measurements and the availability of its microscopic theory [7][8][9]. During the α or heavier cluster decay process, nucleons in the parent nucleus spend part of their time as clusters, in the nuclear surface [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Formation region of emitted α and heavier particles inside radioactive nuclei

Seif

Abdel-Hady

2020

Chinese Phys. C

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We investigate the formation distance (R 0) from the center of the radioactive parent nucleus at which the emitted cluster is most probably formed. The calculations are performed microscopically starting with the solution to the time-independent Schrödinger wave equation for the cluster-core system, using nuclear potentials based on the Skyrme-SLy4 nucleon-nucleon interactions and folding Coulomb potential, to determine the incident and transmitted wave functions of the system. Our results show that the emitted cluster is mostly formed in the pre-surface region of the nucleus, under the effect of Pauli blocking from the saturated core density. The deeper α-formation distance inside the nucleus allows less preformation probability and indicates a more stable nucleus for a longer half-life. Furthermore, the α-particle tends to be formed at a slightly deeper region inside the nuclei, with larger isospin asymmetry, and in the closed shell nuclei. Regarding the heavy clusters, we observed that the formation distance of the emitted clusters heavier than α-particle increased via increasing the isospin asymmetry of the formed cluster rather than by increasing its mass number. The partial half-life of a certain cluster-decay mode increased with increase of either the mass number or the isospin asymmetry of the emitted cluster.

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Section: Theoretical Formalismsupporting

confidence: 86%

Section: Theoretical Formalismmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Formation region of emitted α and heavier particles inside radioactive nuclei

Seif

Abdel-Hady

2020

Chinese Phys. C

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“…Conclusion. -Most treatments of α-decay consider that the α-particle is born on the surface of the nucleus [32][33][34]. Amplitudes of preformation for 211 Bi were calculated in refs.…”

Section: -P5mentioning

confidence: 99%

Fine structure of ²¹¹ Bi α -decay from Coriolis coupling

Mirea¹

2018

EPL

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The α-decay is considered as a superasymmetric fission process. A fragmentation path is obtained by mean of the least action principle in a configuration space spanned by five degrees of freedom. The potential barrier is obtained within the macroscopic-microscopic model while the effective mass and the momentum of inertia within the cranking approach. The single-particle wave functions and the single-particle energies are supplied by the Woods-Saxon two-center shell model. The fine structure of 211 Bi α-decay is treated within a set of generalized time-dependent pairing equations that takes into account the Landau-Zener effect and the Coriolis coupling. A low value of the internuclear collective velocity was used. The theoretical results showed a good agreement with the experimental data. Essentially, in the framework of the formalism, the fine structure for the 211 Bi is due to the occurrence of the Coriolis coupling.

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“…The ↵ emission is usually explained as the formation of a cluster on the surface of the daughter nucleus followed by a penetrability of an external barrier at an energy close to the Q-value [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The probability to form such a combination is given by a square overlap of the convolution of the wave functions of the parent nucleus and that of the system at the touching configuration.…”

Section: Introductionmentioning

confidence: 99%

Microscopic description of α-decay as super-asymmetric fission

Mirea

2021

EPJ Web Conf.

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The fine structure of α-decay is treated with fission-like models. The single particle levels are calculated along a least action path connecting the ground state of the parent nucleus and the configuration of two spherical tangent nuclei. The probabilities to find different seniority-1 configurations are obtaining by solving the time-dependent pairing equations generalized by including the Landau-Zener effect and the Coriolis coupling. The theoretical results for the α-decay of 211Po and 211Bi are compared with experimental data showing a good agreement.

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Systematics of α -decay fine structure in odd-mass nuclei based on a finite-range nucleon–nucleon interaction

Cited by 18 publications

References 52 publications

Formation region of emitted α and heavier particles inside radioactive nuclei

Formation region of emitted α and heavier particles inside radioactive nuclei

Fine structure of ²¹¹ Bi α -decay from Coriolis coupling

Microscopic description of α-decay as super-asymmetric fission

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Systematics of α -decay fine structure in odd-mass nuclei based on a finite-range nucleon–nucleon interaction

Cited by 18 publications

References 52 publications

Formation region of emitted α and heavier particles inside radioactive nuclei

Formation region of emitted α and heavier particles inside radioactive nuclei

Fine structure of 211 Bi α -decay from Coriolis coupling

Microscopic description of α-decay as super-asymmetric fission

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Product

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Fine structure of ²¹¹ Bi α -decay from Coriolis coupling