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Journal of Xihua Teachers College

Calculating the Half-life of α Decay with Quantum Tunneling Effect

Yi Liu

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

The halflife of αradioactive elements has already been measured out through experiments. But, classical theory's failure to explain the phenomenon of αDecay is found in this article according to the analysis of the mechanism of αDecay. And in this article, this problem is completely settled through introducing of the theory of quantum tunneling effect yet. Furthermore, the halflife of αDecay of238U is illustrated and figured out with this theory, and is approximately in accordance with the figure of experiments.

Related papers

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According to theories of classical physics, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by transition coefficient. Correct calculation of this coefficient is particularly important because extremely sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient was generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In the previous papers, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results were applied to calculate the half-life values of the nuclei that emit alpha particle. In this article, the half-life calculation formulas obtained in previous studies were made simpler. It has been shown that it is applicable to all radioactive decays (alpha, beta, gamma etc.). The half-life values obtained from our calculations have been compared with the experimental values, and it has been found that the new half-life values are exactly consistent with the experimental values.

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According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by a transition coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In this paper, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values.

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That equations between half-life period and life are tried to look for is the main aim in this paper. Several curves are found here. It hopes that these curves are useful to wield its roles in current research. D wave molecule in quantum dynamics is found to have a short (~several hundred ms) life. So that it is calculated that the N/N0 and radioactivity at a certain life. Through comparing we find the radioactivity is more important than the N/N0, the radioactivity is first factor and then N/N0. It is found that N/N0 decreases with decay constant increasing and the radioactivity increases and then decreases with it increasing. It increases and then decreases if N/N0 increases. The maximum value of 1.7 nuclei of radioactivity is not so big explains no neglect is available. It is old after 0.22 years. D wave molecule in quantum dynamics is found to have a short (~several hundred ms) life. So that it is calculated that the N/N0 and decay constant with half-life period at a certain time. Through comparing we find the half-life period is more important than the decay constant, it is first factor and then decay constant. It is found that N/N0 increases with half-life period increasing and it decreases with life decreasing too. The frequency and energy decrease if D wave increases. If we activate two areas two D wave molecules will be activated. In terms of that calculating half period life will double, promoting areas for four will increase life four times. Continuous utilizing this the 0.22years half one will attain 22years. The needed one is the material whose volume is big enough to produce one. Like Copper oxidation etc. Heard can be applied to the quantum CPU. How we can calculate this material whose D wave molecule life is bigger than now is the key.

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The Schrodinger-Chetaev Equation in Bohmian Quantum Mechanics and Diffusion Mechanism for Alpha Decay, Cluster Radioactivity and Spontaneous Fission

V. D. Rusov, S. Cht. Mavrodiev, M. Deliyergiyev

In the framework of Bohmian quantum mechanics supplemented with the Chetaev theorem on stable trajectories in dynamics in the presence of dissipative forces we have shown the possibility of the classical (without tunneling) universal description of radioactive decay of heavy nuclei, in which under certain conditions so called noise-induced transition is generated or, in other words, the stochastic channel of alpha decay, cluster radioactivity and spontaneous fission conditioned by the Kramers diffusion mechanism. Based on the ENSDF database we have found the parametrized solutions of the Kramers equation of Langevin type by Alexandrov dynamic auto-regularization method (FORTRAN program REGN-Dubna). These solutions describe with high-accuracy the dependence of the half-life (decay probability) of heavy radioactive nuclei on total kinetic energy of daughter decay products. The verification of inverse problem solution in the framework of the universal Kramers description of the alpha decay, cluster radioactivity and spontaneous fission, which was based on the newest experimental data of alpha-decay of even-even super heavy nuclei (Z=114, 116, 118) have shown the good coincidence of the experimental and theoretical half-life depend upon of alpha-decay energy.

arXiv:0810.2860•Oct 16, 2008•0 citations
The halflife of αradioactive elements has already been measured out through experiments. But, classical theory's failure to explain the phenomenon of αDecay is found in this article according to the analysis of the mechanism of αDecay. And in this article, this problem is completely settled through introducing of the theory of quantum tunneling effect yet. Furthermore, the halflife of αDecay of238U is illustrated and figured out with this theory, and is approximately in accordance with the figure of experiments.
According to theories of classical physics, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by transition coefficient. Correct calculation of this coefficient is particularly important because extremely sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient was generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In the previous papers, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results were applied to calculate the half-life values of the nuclei that emit alpha particle. In this article, the half-life calculation formulas obtained in previous studies were made simpler. It has been shown that it is applicable to all radioactive decays (alpha, beta, gamma etc.). The half-life values obtained from our calculations have been compared with the experimental values, and it has been found that the new half-life values are exactly consistent with the experimental values.
According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by a transition coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In this paper, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values.
According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is well known. This event is called tunneling. Tunneling is a probability, and it is measured by a transmission coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In previous publications, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values. In this article, this general transmission coefficient is applied to calculate transmission coefficient for an arbitrary form external electrical field barrier (cold emission by the metal). The values obtained from our calculations and those of classical method (WKB) have been compared.
Alpha decay Abstract Alpha decay is one of the foremost and most well- studied forms of radioactive decay, involving the emigration of a nascence flyspeck — two protons and two neutrons bound together — from an unstable infinitesimal nexus. Classical drugs, with its energy- grounded rules, suggests that such a flyspeck should be confined within the nexus indefinitely, unfit to overcome the immense implicit hedge posed by nuclear and electrostatic forces. Yet, in reality, nascence patches escape routinely, with remarkably harmonious powers and predictable half- lives This incongruity remained undetermined until the emergence of amount mechanics in the early 20th century, which introduced the conception of amount tunneling — a miracle where patches have a finite probability of" tunneling" through walls they warrant the energy to surmount. This paper takes a detailed look at the drugs of amount tunneling and its part in enabling nascence decay. We explore the literal development of the proposition, the fine frame behind tunneling chances, and the deep perceptivity this conception provides into nuclear geste. We also examine real- world exemplifications, similar as uranium- 238, and highlight broader operations of tunneling in fields ranging from nuclear drug to amount computing.
That equations between half-life period and life are tried to look for is the main aim in this paper. Several curves are found here. It hopes that these curves are useful to wield its roles in current research. D wave molecule in quantum dynamics is found to have a short (~several hundred ms) life. So that it is calculated that the N/N0 and radioactivity at a certain life. Through comparing we find the radioactivity is more important than the N/N0, the radioactivity is first factor and then N/N0. It is found that N/N0 decreases with decay constant increasing and the radioactivity increases and then decreases with it increasing. It increases and then decreases if N/N0 increases. The maximum value of 1.7 nuclei of radioactivity is not so big explains no neglect is available. It is old after 0.22 years. D wave molecule in quantum dynamics is found to have a short (~several hundred ms) life. So that it is calculated that the N/N0 and decay constant with half-life period at a certain time. Through comparing we find the half-life period is more important than the decay constant, it is first factor and then decay constant. It is found that N/N0 increases with half-life period increasing and it decreases with life decreasing too. The frequency and energy decrease if D wave increases. If we activate two areas two D wave molecules will be activated. In terms of that calculating half period life will double, promoting areas for four will increase life four times. Continuous utilizing this the 0.22years half one will attain 22years. The needed one is the material whose volume is big enough to produce one. Like Copper oxidation etc. Heard can be applied to the quantum CPU. How we can calculate this material whose D wave molecule life is bigger than now is the key.
In the framework of Bohmian quantum mechanics supplemented with the Chetaev theorem on stable trajectories in dynamics in the presence of dissipative forces we have shown the possibility of the classical (without tunneling) universal description of radioactive decay of heavy nuclei, in which under certain conditions so called noise-induced transition is generated or, in other words, the stochastic channel of alpha decay, cluster radioactivity and spontaneous fission conditioned by the Kramers diffusion mechanism. Based on the ENSDF database we have found the parametrized solutions of the Kramers equation of Langevin type by Alexandrov dynamic auto-regularization method (FORTRAN program REGN-Dubna). These solutions describe with high-accuracy the dependence of the half-life (decay probability) of heavy radioactive nuclei on total kinetic energy of daughter decay products. The verification of inverse problem solution in the framework of the universal Kramers description of the alpha decay, cluster radioactivity and spontaneous fission, which was based on the newest experimental data of alpha-decay of even-even super heavy nuclei (Z=114, 116, 118) have shown the good coincidence of the experimental and theoretical half-life depend upon of alpha-decay energy.