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A detailed comparison of the expressions for the decay widths obtained within the semiclassical WKB approximation using different approaches to the tunneling problem is performed. The differences between the available improved formulae for…

Nuclear Theory · Physics 2008-11-26 N. G. Kelkar , H. M. Castaneda

Method of multiple internal reflections (method MIR) in description of $\alpha$-decay of nucleus in the spherically symmetric approximation is presented in paper. In approach MIR the formalism of calculation of amplitudes of wave function,…

Nuclear Theory · Physics 2009-09-29 Sergei P. Maydanyuk , Sergei V. Belchikov

Using the $R$-matrix approach we calculate the radiative width for a resonance decaying to a bound state through electric dipole, $E1$, transitions. The total radiative width is determined by the interference of the nuclear internal and…

Nuclear Theory · Physics 2017-03-01 A. M. Mukhamedzhanov , Shubhchintak , C. A. Bertulani , T. V. Nhan Hao

The ratio of the alpha-decay widths of a bare nucleus and the related atom is calculated. Both the change of the form and thus the penetrability of the potential barrier and the effect of reflection in the classically-allowed region…

Nuclear Theory · Physics 2012-12-04 Sergey Yu. Igashov , Yury M. Tchuvil'sky

Nuclear radial distance is a prerequisite for generating any alpha-decay half-life formula by taking a suitable effective potential. We study the emission process of alpha particles from an isolated quasi-bound state generated by an…

Nuclear Theory · Physics 2018-08-01 Swagatika Bhoi , Basudeb Sahu

An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier…

Nuclear Theory · Physics 2010-07-02 B. R. Barrett , J. Bürki , D. M. Cardamone , C. A. Stafford , D. L. Stein

The influence of nuclear deformation on proton-decay half-lives has been systematically studied in microscopic theoretical frameworks for a wide range of nuclei with Z<82. Correlation between 1p-decay half-lives and the deformed nuclear…

Nuclear Theory · Physics 2024-11-27 A. Jain , Pranali Parab , G. Saxena , Mamta Aggarwal

A new fully quantum method describing penetration of packet from internal well outside with its tunneling through the barrier of arbitrary shape used in problems of quantum cosmology, is presented. The method allows to determine amplitudes…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Sergei P. Maydanyuk

The proton radioactivity half-lives of spherical proton emitters are investigated theoretically. The potential barriers preventing the emission of protons are determined in the quasimolecular shape path within a generalized liquid drop…

Nuclear Theory · Physics 2009-08-12 J. M. Dong , H. F. Zhang , G. Royer

We have conducted a comprehensive and systematic study of the proton radioactivity and $\alpha$-decay half-lives of neutron-deficient nuclei. This investigation involved the utilization of various Proximity potentials and also considered…

Nuclear Theory · Physics 2024-04-09 A. Adel , Karim H. Mahmoud , Haitham A. Taha

The article provides a theoretical substantiation for a significant increase in the level of accuracy in determining the neutron lifetime using an alternative concept of neutron beta decay. Neutrons are distributed among different subsets…

Nuclear Theory · Physics 2023-08-03 V. V. Vasiliev

An outstanding problem in the theory of nuclear fission is understanding the Hamiltonian dynamics at the scission point. Here we apply the Generator Coordinate Method to calculate decay widths for pre-scission configurations into the…

Nuclear Theory · Physics 2019-10-24 G. F. Bertsch , L. M. Robledo

Half-lives of proton emission for Z$\ge$51 nuclei are calculated within a simple analytical model based on the WKB approximation for the barrier penetration probability which includes the centrifugal and overlapping effects besides the…

Nuclear Theory · Physics 2017-09-13 R. Budaca , A. I. Budaca

Alpha emission from a nucleus is a fundamental decay process in which the alpha particle formed inside the nucleus tunnels out through the potential barrier. We describe alpha decay of $^{212}$Po and $^{104}$Te by means of the configuration…

Nuclear Theory · Physics 2012-10-01 R. Id Betan , W. Nazarewicz

In the present work, we study {\alpha} decay and proton emission half-lives within the modified Gamow-like model, which introduces the effects of the nucleus's deformation. The calculations show that it is necessary to consider the…

Nuclear Theory · Physics 2022-12-07 Qiong Xiao , Jun-Hao Cheng , Tong-Pu Yu

The simultaneous emission of two $\alpha$ particles--double-$\alpha$ decay--represents a long-predicted but unobserved mode of nuclear radioactivity. Here we formulate this process as a genuine three-body problem within the hyperspherical…

Nuclear Theory · Physics 2026-02-11 Shulin Tang , Tao Wan , Yibin Qian , Chong Qi , Ramon A. Wyss , Roberto J. Liotta , Dong Bai , Bo Zhou , Zhongzhou Ren

A basic prediction of the statistical model of compound nucleus reactions is that the partial widths for decay into any open channel channel fluctuate according to the Porter-Thomas distribution (PTD). A recent experiment on $s$- and…

Nuclear Theory · Physics 2018-11-06 P. Fanto , G. F. Bertsch , Y. Alhassid

Data from the Sudbury Neutrino Observatory have been used to constrain the lifetime for nucleon decay to ``invisible'' modes, such as n -> 3 nu. The analysis was based on a search for gamma-rays from the de-excitation of the residual…

High Energy Physics - Experiment · Physics 2012-08-27 SNO Collaboration

We have studied the feasibility of the experimental determination of the width of a $D$ meson in a nuclear medium by using the method of the nuclear transparency. The cross section for inclusive production of a $D^+$ in different nuclei is…

Nuclear Theory · Physics 2025-01-08 Victor Montesinos , Natsumi Ikeno , Eulogio Oset , Miguel Albaladejo , Juan Nieves , Laura Tolos

Background: The deformation of the nuclei involved in the cluster decay of heavy nuclei affect seriously their half-lives against the decay. Purpose: We investigate the description of the different decay stages in both the optimum…

Nuclear Theory · Physics 2016-06-22 W. M. Seif , M. Ismail , A. I. Refaie , L. H. Amer
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