Influence of binding energies of electrons on nuclear mass predictions

Abstract

Nuclear mass contains a wealth of nuclear structure information, and has been widely employed to extract the nuclear effective interactions. The known nuclear mass is usually extracted from the experimental atomic mass by subtracting the masses of electrons and adding the binding energy of electrons in the atom. However, the binding energies of electrons are sometimes neglected in extracting the known nuclear masses. The influence of binding energies of electrons on nuclear mass predictions are carefully investigated in this work. If the binding energies of electrons are directly subtracted from the theoretical mass predictions, the rms deviations of nuclear mass predictions with respect to the known data are increased by about 200 keV for nuclei with Z, N 8. Furthermore, by using the Coulomb energies between protons to absorb the binding energies of electrons, their influence on the rms deviations is significantly reduced to only about 10 keV for nuclei with Z, N 8. However, the binding energies of electrons are still important for the heavy nuclei, about 150 keV for nuclei around Z = 100 and up to about 500 keV for nuclei around Z = 120. Therefore, it is necessary to consider the binding energies of electrons to reliably predict the masses of heavy nuclei at an accuracy of hundreds of keV.

Nuclear binding energy predictions based on BP neural network

“…In Ref. [38], the authors studied the effects of electron mass, electron binding energy and Coulomb energy on nuclear masses. It is shown from residual interaction formula that electron mass, electron binding energy and Coulomb energy have no effect on the residual interaction.…”

α-decay half-lives of some nuclei from ground state to ground state using different nuclear potential

“…George Gamow interpreted the theory of alpha decay in terms of the quantum tunneling from the potential well of the nucleus [1]. There are many theoretical schemes that used to define a cluster radioactivity and alpha-like models using various ideas such as the ground-state energy, nuclear spin and parity, nuclear deformation and shell effects [2][3][4][5][6][7][8][9][10][11][12][13][14]. Frequently used models include the fissionlike [15], generalized liquid drop [16], generalized density dependent cluster [17], unified model for a decay and a capture [18], Coulomb and proximity potential [19] and unified fission [20].…”