Research output: Contribution to journal › Article › peer-review
Convergence-acceleration approach to partial-wave expansion of two-electron self-energy contributions to the Lamb shift. / Малышев, Алексей Владимирович; Прохорчук, Екатерина Андреевна; Шабаев, Владимир Моисеевич.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 109, No. 6, 062802, 04.06.2024.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Convergence-acceleration approach to partial-wave expansion of two-electron self-energy contributions to the Lamb shift
AU - Малышев, Алексей Владимирович
AU - Прохорчук, Екатерина Андреевна
AU - Шабаев, Владимир Моисеевич
PY - 2024/6/4
Y1 - 2024/6/4
N2 - Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated by Sapirstein and Cheng [J. Sapirstein and K. T. Cheng, Phys. Rev. A 108, 042804 (2023)2469-992610.1103/PhysRevA.108.042804], we propose a modification of the standard procedure for calculating the contributions of two-electron self-energy diagrams. The performance of the method is studied by evaluating the corresponding corrections to the binding energies of He-like ions and by comparing the obtained results with the state-of-the-art values available in the literature: our calculations involving a much smaller number of partial waves show an improvement in accuracy.
AB - Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated by Sapirstein and Cheng [J. Sapirstein and K. T. Cheng, Phys. Rev. A 108, 042804 (2023)2469-992610.1103/PhysRevA.108.042804], we propose a modification of the standard procedure for calculating the contributions of two-electron self-energy diagrams. The performance of the method is studied by evaluating the corresponding corrections to the binding energies of He-like ions and by comparing the obtained results with the state-of-the-art values available in the literature: our calculations involving a much smaller number of partial waves show an improvement in accuracy.
UR - https://link.aps.org/doi/10.1103/PhysRevA.109.062802
UR - https://arxiv.org/abs/2404.04742
UR - https://www.mendeley.com/catalogue/32017582-1f83-34e7-a7b8-7cd88ef52e25/
U2 - 10.1103/PhysRevA.109.062802
DO - 10.1103/PhysRevA.109.062802
M3 - Article
VL - 109
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 6
M1 - 062802
ER -
ID: 120199478