A new barrier penetration formula and its application to alpha-decay half-lives

Abstract

Starting from the WKB approximation, a new barrier penetration formula is proposed for potential barriers containing a long-range Coulomb interaction. This formula is especially proper for the barrier penetration with penetration energy much lower than the Coulomb barrier. The penetrabilities calculated from the new formula agree well with the results from the WKB method. As a first attempt, this new formula is used to evaluate alpha decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

RevTeX4, 7 pages, 3 figures; to be published in Int. J. Mod. Phys. E

References in corpus (7)

• Alpha-nucleus potential for alpha-decay and sub-barrier fusion
• Formation of superheavy nuclei in cold fusion reactions
• alpha decay half-lives of new superheavy nuclei within a generalized liquid drop model
• Fusion-fission reactions with modified Woods-Saxon potential
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism
• Barrier Penetration for Supersymmetric Shape-Invariant Potentials
• Predictions of alpha-decay half-lives based on potentials from self-consistent mean-field models

Cited by in corpus (7)

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• Systematic study of complete fusion suppression in reactions involving weakly bound nuclei at energies above the Coulomb barrier
• Approximate transmission coefficients in heavy ion fusion
• Theoretical study of fusion reactions ${}^{32}$S + ${}^{94,96}$Zr and ${}^{40}$Ca + ${}^{94,96}$Zr and quadrupole deformation of ${}^{94}$Zr
• Nucleon microscopy in proton-nucleus scattering via analysis of bremsstrahlung emission
• Theoretical study of the capture of stable ${}^{39}$K and neutron-rich radioactive ${}^{46}$K by ${}^{181}$Ta