TY - JOUR

T1 - Spontaneous vacuum decay in low-energy collisions of heavy nuclei beyond the monopole approximation

AU - Попов, Роман Владимирович

AU - Шабаев, Владимир Моисеевич

AU - Мальцев, Илья Александрович

AU - Тельнов, Дмитрий Александрович

AU - Дулаев, Никита Константинович

AU - Тумаков, Дмитрий Андреевич

PY - 2023/6/15

Y1 - 2023/6/15

N2 - The problem of spontaneous vacuum decay in low-energy collisions of heavy nuclei is considered beyond the scope of the monopole approximation. The time-dependent Dirac equation is solved in a rotating coordinate system with $z$-axis directed along the internuclear line and the origin placed at the center of mass. The probabilities of electron-positron pair creation and the positron energy spectra are calculated in the approximation neglecting the rotational coupling. The two-center potential is expanded over spherical harmonics and the convergence with respect to the number of terms in this expansion is studied. The results show that taking into account the two-center potential instead of its spherically symmetric part preserves all the signatures of the transition to the supercritical regime that have been found in the framework of the monopole approximation and even enhances some of them.

AB - The problem of spontaneous vacuum decay in low-energy collisions of heavy nuclei is considered beyond the scope of the monopole approximation. The time-dependent Dirac equation is solved in a rotating coordinate system with $z$-axis directed along the internuclear line and the origin placed at the center of mass. The probabilities of electron-positron pair creation and the positron energy spectra are calculated in the approximation neglecting the rotational coupling. The two-center potential is expanded over spherical harmonics and the convergence with respect to the number of terms in this expansion is studied. The results show that taking into account the two-center potential instead of its spherically symmetric part preserves all the signatures of the transition to the supercritical regime that have been found in the framework of the monopole approximation and even enhances some of them.

UR - https://www.mendeley.com/catalogue/6f49e90e-9df1-3efd-b30d-fb93dd988039/

U2 - 10.1103/PhysRevD.107.116014

DO - 10.1103/PhysRevD.107.116014

M3 - Article

VL - 107

JO - Physical review D

JF - Physical review D

SN - 2470-0010

IS - 11

M1 - 116014

ER -