Semiclassical triton

Dwivedi, Nishchal R.; Kaur, Harjeet; Jain, Sudhir R.

doi:10.1140/epja/i2018-12480-y

Cited by 8 publications

(3 citation statements)

References 30 publications

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“…'s and hence, the disintegration energies to calculate α-decay half-lives. Being non perturbative in nature, these techniques have been employed many times in the past to understand various aspects of nuclear structure viz shell evolution [30,70,75,[88][89][90][91][92][93][94][95][96][97]. From our analysis, we have found that FRDM and our semiclassical method produce disintegration energies of same order.…”

Section: Identification Bymentioning

confidence: 79%

Prediction of half-lives of even–even superheavy nuclei

Pathak

Singh

Kaur

et al. 2021

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

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α-decay half-lives ( T 1 / 2 α -values) of even–even and superheavy nuclei (SHN) are determined employing interaction potential involving Coulomb and proximity potentials. The obtained results are compared with the experimental ones and to assess the precision of the present model in reproducing the experimental half-lives, a comparison is drawn with the other methods as well. We require disintegration energy (Q α -values) as an input in order to predict the ( T 1 / 2 α -values) of an experimentally unknown SHN. So, utilizing periodic-orbit theory within microscopic-macroscopic formalism, we have calculated the binding energies and thereafter, Q α -values of known SHN. The results are found to be in good agreement with the experimental ones. Subsequently, we predict the logarithmic values of T 1 / 2 α ’s for even–even unknown SHN whose atomic numbers lie in 118 ⩽ Z ⩽ 126 regime and compare our results with those calculated employing other theoretical methods. Also, the study of spontaneous fission half-lives and branching ratios leads us to predict the SHN which can be identified through α-decay chains in the laboratories. We believe that this work can play a significant role in the experiments leading to the synthesis and identification of new superheavy elements.

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Section: Identification Bymentioning

confidence: 79%

Prediction of half-lives of even–even superheavy nuclei

Pathak

Singh

Kaur

et al. 2021

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

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“…The asymptotic expansion parameter true0 ℏ [64] is small compared with the relevant classical action 1 . It is worth noting that this powerful method has been successfully used to obtain the ‘exact’ ground states for deuteron [68] and triton [69]. Moreover, we would like to recall that the semiclassical trace formula for oscillator potentials gives the exact level density, where one performs an asymptotic expansion of the energy-dependent Green function or propagator in powers of true0 ℏ [70].…”

Section: Rotating Wave Approximationmentioning

confidence: 99%

Quasi-integrability and nonlinear resonances in cold atoms under modulation

Gupta,

Jain,

Jain

2024

R. Soc. Open Sci.

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Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix Hamiltonian. The dynamics is shown to evolve on two coupled potential energy surfaces (PESs): one of them is binding, while the other one is scattering type. The dynamics is shown to be quasi-integrable with nonlinear resonances. The bounded dynamics with intermittent scattering at random moments presents a scenario reminiscent of Anderson and dynamical localization. We believe that a careful analytical investigation of a multi-component system that is classically non-integrable is relevant to many other fields, including quantum computation with multi-qubit systems.

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“…Semiclassical methods have been extensively used in the past to describe various physical phenomena because of their non-perturbative nature [46][47][48][49][50][51][52][53][54][55][56][57][58][59]. We have determined the α-decay half-lives of even-even SHN whose atomic numbers lie in 118 Z 126 regime employing interaction potential involving Coulomb and proximity potentials using semiclassically obtained Q α -values as an input [60].…”

Section: Introductionmentioning

confidence: 99%

Probable decay modes of even–even superheavy nuclei

Pathak¹,

Singh²,

Singh³

et al. 2022

Phys. Scr.

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Cluster-decay half-lives (T c,th 1/2 (s)) of even-even nuclei are calculated employing interaction potential involving Coulomb and proximity potentials and, the obtained results are compared with the experimental ones. In order to study cluster radioactivity in even-even superheavy nuclei (SHN), we evaluate the required disintegration energies (Qc-values) utilizing periodic-orbit theory within microscopic-macroscopic formalism and hence, predict the logarithmic values of T c,th 1/2 ’s for even-even 298−312Og and 296−310120 nuclei. Among various isotopes of daughter nuclei, products produced with minimum value of Gibbs free energy are chosen for our investigation. Also, an analysis of the branching ratios enables us to determine the dominant mode of decay among α− decay, spontaneous fission (SF) and cluster-decay in these SHN. The emissions of 90Kr from 298Og and 94Sr cluster from 296,298120 SHN are found to be the dominant mode of decay. Our results are in agreement with those obtained using UDL method except for few cases. We believe that this work can play a significant role in the experiments leading to identification of exotic nuclei.

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Semiclassical triton

Cited by 8 publications

References 30 publications

Prediction of half-lives of even–even superheavy nuclei

Prediction of half-lives of even–even superheavy nuclei

Quasi-integrability and nonlinear resonances in cold atoms under modulation

Probable decay modes of even–even superheavy nuclei

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