Critical nucleus charge in a superstrong magnetic field: Effect of screening

Abstract

A superstrong magnetic field stimulates the spontaneous production of positrons by naked nuclei by diminishing the value of the critical charge Z cr . The phenomenon of screening of the Coulomb potential by a superstrong magnetic field which has been discovered recently acts in the opposite direction and prevents the nuclei with Z < 52 from becoming critical. For Z > 52 for a nucleus to become critical stronger B are needed than without taking screening into account.

Critical nucleus charge in a superstrong magnetic field

“…The details of this calculation can be found in [12]. The results for ground energy level for the ion with Z = 40 are presented in Table 1.…”

“…With the help of this formula the potential for 2 z = 0 with arbitrary ρ and for ρ = 0 with arbitrary z was calculated analytically [11,12]. It was found [7,8,12] that for z 1/m the equipotential lines are ellipses, though the potential in the mid-range distances, r = ρ 2 + z 2 1/m, was still unknown. In Fig.…”

“…Using formula (5) the analytical expressions for Φ (0, z) and Φ (ρ, 0) were found [11,12] (see also asymptotics in [7,8]):…”

The evolution of meson masses in a strong magnetic field

“…The role of screening of the Coulomb interaction in MF has a long story, see e.g. [8][9][10][11][12][13][14] for atomic systems.…”

“…These topics are important in astrophysics of neutron stars [3][4][5][6], in cosmological theories [7], in atomic physics [8][9][10][11][12][13][14][15] in the physics of heavy ion collisions [16,17], and in the high-intensity lasers [18].…”