TY - JOUR

T1 - Wave function of a photon produced in the resonant scattering of twisted light by relativistic ions

AU - Karlovets, Dmitry V.

AU - Serbo, Valeriy G.

AU - Surzhykov, Andrey

N1 - Funding information: The theoretical investigations, reported in Secs. and , are supported by the Government of the Russian Federation through the ITMO Fellowship and Professorship Program. The calculations of the resonant scattering in Sec. are supported by the Russian Science Foundation (Project No. 21-42-04412) and by the Deutsche Forschungsgemeinschaft (Project No. SU 658/5–1).

PY - 2021/8

Y1 - 2021/8

N2 - We present a theoretical investigation of the resonant elastic scattering of twisted light, carrying angular momentum, by partially stripped ions. Special emphasis is placed on a question of whether the scattered radiation is also twisted. In order to investigate such an "angular momentum transfer,"we develop an approach that allows us to find a quantum state of the final photon without projecting it onto a detector state. A general expression for this so-called evolved state of outgoing radiation is derived, and it can be used to analyze the resonant scattering by any ion, independently of its shell structure. Here we illustrate our approach with the strong electric dipole nS0→n′P1→nS0 transitions, which play an important role for the Gamma Factory project at CERN. For the incident Bessel light, the scattered radiation is shown to be in a superposition of twisted modes with the projections of the total angular momentum mf=0,±1. The larger values of mf can be efficiently generated by inducing transitions of higher multiplicity. This angular momentum transfer, together with a remarkable cross section that is many orders of magnitude larger than that of the backward Compton scattering, makes the resonant photon scattering an effective tool for the production of twisted x rays and even γ rays at the Gamma Factory facility.

AB - We present a theoretical investigation of the resonant elastic scattering of twisted light, carrying angular momentum, by partially stripped ions. Special emphasis is placed on a question of whether the scattered radiation is also twisted. In order to investigate such an "angular momentum transfer,"we develop an approach that allows us to find a quantum state of the final photon without projecting it onto a detector state. A general expression for this so-called evolved state of outgoing radiation is derived, and it can be used to analyze the resonant scattering by any ion, independently of its shell structure. Here we illustrate our approach with the strong electric dipole nS0→n′P1→nS0 transitions, which play an important role for the Gamma Factory project at CERN. For the incident Bessel light, the scattered radiation is shown to be in a superposition of twisted modes with the projections of the total angular momentum mf=0,±1. The larger values of mf can be efficiently generated by inducing transitions of higher multiplicity. This angular momentum transfer, together with a remarkable cross section that is many orders of magnitude larger than that of the backward Compton scattering, makes the resonant photon scattering an effective tool for the production of twisted x rays and even γ rays at the Gamma Factory facility.

UR - http://www.scopus.com/inward/record.url?scp=85113838779&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.104.023101

DO - 10.1103/PhysRevA.104.023101

M3 - Article

AN - SCOPUS:85113838779

VL - 104

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 2

ER -