TY - JOUR

T1 - Nuclear recoil and vacuum-polarization effects on the binding energies of supercritical H-like ions

AU - Aleksandrov, Ivan A.

AU - Plunien, Günter

AU - Shabaev, Vladimir M.

PY - 2016

Y1 - 2016

N2 - The Dirac Hamiltonian including nuclear recoil and vacuum-polarization operators is considered in a supercritical regime Z>137. It is found that the nuclear recoil operator derived within the Breit approximation “regularizes” the Hamiltonian for the point-nucleus model and allows the ground state level to go continuously down and reach the negative energy continuum at a critical value Zcr ≈ 145. If the Hamiltonian contains both the recoil operator and the Uehling potential, the 1s level reaches the negative energy continuum at Zcr ≈ 144. The corresponding calculations for the excited states have been also performed. This study shows that, in contrast to previous investigations, a point-like nucleus can have effectively the charge Z>137.

AB - The Dirac Hamiltonian including nuclear recoil and vacuum-polarization operators is considered in a supercritical regime Z>137. It is found that the nuclear recoil operator derived within the Breit approximation “regularizes” the Hamiltonian for the point-nucleus model and allows the ground state level to go continuously down and reach the negative energy continuum at a critical value Zcr ≈ 145. If the Hamiltonian contains both the recoil operator and the Uehling potential, the 1s level reaches the negative energy continuum at Zcr ≈ 144. The corresponding calculations for the excited states have been also performed. This study shows that, in contrast to previous investigations, a point-like nucleus can have effectively the charge Z>137.

U2 - 10.1140/epjd/e2015-60644-y

DO - 10.1140/epjd/e2015-60644-y

M3 - Article

VL - 70

JO - European Physical Journal D

JF - European Physical Journal D

SN - 1434-6060

IS - 1

ER -