2016/12/13 by Swagatika Bhoi, Bhoi, Swagatika, Basudeb Sahu +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #FOS: Physical sciences #Neutrino Physics Research #Nuclear Theory (nucl-th) #Nuclear physics research studies
paper · pdf · doi:10.48550/arxiv.1612.04135
openalex publication_date 2016/12/13 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
We develop a versatile and analytically solvable potential which fairly\nreproduces the combined potential of an \α+nucleus system resulting from\nboth the attractive nuclear and repulsive electrostatic potentials. The\npotential is expressed in terms of the radial position, mass and proton number\nof the \α-particle and the daughter nucleus and certain parameters\ngoverning the depth, height and steepness of the barrier. The potential\ngenerated is typically a pocket near the origin and a barrier adjacent to it.\nThe Schr "odinger equation with the above mentioned potential is then solved\nfor the wave function. This potential produces discrete positive energy\nquasibound state known as resonance state. By matching the wave function and\nits derivative with the regular Coulomb wave function F0 and irregular\nCoulomb wave function G0, we obtain the S-matrix analytically. The resonance\nis obtained from the pole in complex energy plane which gives the width of the\ncorresponding time of decay through the imaginary part of the energy pole\nposition. We make a comparative study of the measured half-lives of various\nnuclei with the calculated half-lives. The calculated values of half-lives\nclosely match with the corresponding experimental results.\n