Light nucleus emission within a generalized liquid-drop model and quasimolecular shapes

Royer, G.; Moustabchir, R.

doi:10.1016/s0375-9474(00)00454-1

Cited by 193 publications

(133 citation statements)

References 23 publications

Supporting

Mentioning

131

Contrasting

Order By: Relevance

“…The accuracy of the generalized liquid drop model, GLDM, of Royer et al [14][15][16][17] towards the prediction of alpha half-lives, has been tested in a detailed manner. The analytical formula of [14] was modified resulting in the DSR-E formula that has the advantage of possessing coefficients derived from a reliable data base (REFERENCE).…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

Dasgupta‐Schubert

Reyes²

2007

Atomic Data and Nuclear Data Tables

View full text Add to dashboard Cite

The predictive accuracy of the generalized liquid drop model (GLDM) formula for alpha decay half-lives has been investigated in a detailed manner and a variant of the formula with improved coefficients is proposed. The method employs the experimental alpha half-lives of the well-known alpha standards (REFERENCE) to obtain the coefficients of the analytical formula using the experimental Q α values (the DSR-E formula), as well as the finite range droplet model (FRDM) derived Q α values (the FRDM-FRDM formula). The predictive accuracy of these formulae were checked against the experimental alpha half-lives of an independent set of nuclei (TEST) that span approximately the same Z,A region as the standards and possess reliable alpha spectroscopic data, and were found to yield good results for the DSR-E formula but not for the FRDM-FRDM formula. The two formulae were used to obtain the alpha half-lives of super-heavy (SHE) and heavy nuclides where the relative accuracy was found to markedly improve for the FRDM-FRDM, which corroborates the appropriateness of the FRDM masses and the GLDM prescription for high Z,A nuclides. Further improvement resulted, especially for the FRDM-FRDM formula, after a simple linear optimization over the calculated and experimental half-lives of TEST was used to re-calculate the half-lives of the SHE and heavy nuclides. The advantage of this optimization was that it required no recalculation of the coefficients of the basic DSR-E or FRDM-FRDM formulae. The halflives for 324 medium-mass to super-heavy alpha decaying nuclides, calculated using these formulae and the comparison with experimental half-lives, are presented. Often the main and sometimes the only decay mode of these nuclei is alpha decay.For the SHE, the product nuclides of hot-fusion heavy ion reactions closest to the shell model predicted Island of Stability, decay by the emission of alpha particles. Chains of successive alpha decays are terminated by spontaneous fission as the shell-stabilized region is left behind [5,2].Thus identifying and characterizing the alpha decay sequences form a crucial part of the identification of SHE. Theoretically the mechanism is described by quantum mechanical tunneling through the potential energy barrier leading from the mother nucleus to the daughter nucleus and alpha particle. Consequently the predicted half-lives remain very sensitive to the shape and energetics of the barrier which as such, serve to test the particular theoretical model of the potential energy surfaces of these exotic nuclei. Various theoretical prescriptions since 1930 [6] have been proposed. Some of these as well as some empirical observations have been reduced to analytical formulae [7][8][9][10][11][12] that connect Q α , and the Z,A of the parent nuclide and wherein coefficients are typically obtained from fits to known alpha half-lives. The underlying model's description of the potential barrier lies implicit in the formula's functional form and its coefficients and this in part determines the merit of the formula....

show abstract

Section: Resultsmentioning

confidence: 99%

“…Recently Royer et al [14][15][16][17] have described the potential barrier in alpha decay in terms of a quasi-molecular shape path within a Generalized Liquid Drop Model (GLDM)…”

Section: The Generalized Liquid Drop Model Formula For Alpha Decay Hamentioning

confidence: 99%

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

Dasgupta‐Schubert

Reyes²

2007

Atomic Data and Nuclear Data Tables

View full text Add to dashboard Cite

show abstract

“…Also, it would be of interest if the statistical fission model, as introduced in the GEMINI code [1] could also be applied to the 58 Ni+ 58 Ni reaction and its predictions compared with the present cluster decay model results as well as to the pure Hauser-Feshbach BUSCO results. Furthermore, a similar comparison using the alternate picture as generalized liquid-drop model [12] or the so-called unified fission models for cluster decay studies [9] is called for since these models do not introduce any preformation factor. Fig.…”

Section: Summary and Discussionmentioning

confidence: 99%

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Balasubramaniam

Kumar

Gupta

et al. 2003

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

The complex fragments (or intermediate mass fragments) observed in the low-energy 58 Ni+ 58 Ni→ 116 Ba * reaction, are studied within the dynamical cluster decay model for s-wave with the use of the temperature-dependent liquid drop, Coulomb and proximity energies. The important result is that, due to the temperature effects in liquid drop energy, the explicit preference for α-like fragments is washed out, though the 12 C (or the complementary 104 Sn) decay is still predicted to be one of the most probable α-nucleus decay for this reaction. The production rates for non-α like intermediate mass fragments (IMFs) are now higher and the light particle production is shown to accompany the IMFs at all incident energies, without involving any statistical evaporation process in the model. The comparisons between the experimental data and the (s-wave) calculations for IMFs production cross sections are rather satisfactory and the contributions from other ℓ-waves need to be added for a further improvement of these comparisons and for calculations of the total kinetic energies of fragments.

show abstract

“…The GLDM allows to describe the processes of fusion, fission, light nucleus and α emission [9,10,11,12,13,14,15,16,17]. The macroscopic energy includes the volume, surface, Coulomb and proximity energies:…”

Section: Methodsmentioning

confidence: 99%

Proton radioactivity within a generalized liquid drop model

2009

Self Cite

View full text Add to dashboard Cite

The proton radioactivity half-lives of spherical proton emitters are investigated theoretically. The potential barriers preventing the emission of proton are determined in the quasimolecular shape path within a generalized liquid drop model (GLDM) including the proximity effects between nuclei in a neck and the mass and charge asymmetry. The penetrability is calculated in the WKB approximation. The spectroscopic factor has been taken into account in half-life calculation, which is obtained by employing the relativistic mean field (RMF) theory combined with the BCS method with the force NL3. The half-lives within the GLDM are compared with the experimental data and other theoretical values. GLDM works quite well for spherical proton emitters when the spectroscopic factors are considered, indicating the necessity of introducing the spectroscopic factor and the success of the GLDM for proton emission. Finally, we present two formulae for proton emission half-life similar to the Viola-Seaborg formulae and Royer's formulae of α-decay.

show abstract

Light nucleus emission within a generalized liquid-drop model and quasimolecular shapes

Cited by 193 publications

References 23 publications

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Proton radioactivity within a generalized liquid drop model

Contact Info

Product

Resources

About

Light nucleus emission within a generalized liquid-drop model and quasimolecular shapes

Cited by 193 publications

References 23 publications

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

The generalized liquid drop model alpha-decay formula: Predictability analysis and superheavy element alpha half-lives

Emission of intermediate mass fragments from hot116Ba* formed in low-energy58Ni +58Ni reaction

Proton radioactivity within a generalized liquid drop model

Contact Info

Product

Resources

About

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction