Spin-Statistic Selection Rules for Multiphoton Transitions: Application to Helium Atom

TL;DR

This paper theoretically calculates three-photon transition rates in helium using correlated wave functions, exploring photon energy distributions and proposing experiments to test Bose-Einstein statistics in multiphoton systems.

Contribution

It provides precise nonrelativistic transition rates for helium's multiphoton transitions using Hylleraas wave functions and discusses experimental tests of photon statistics.

Findings

Calculated transition rates with high accuracy

Analyzed photon energy distributions in multiphoton transitions

Proposed experiments to test Bose-Einstein statistics

Abstract

A theoretical investigation of the three-photon transition rates $ 2^1P_1\rightarrow 2^1S_0\;,1^1S_0 $ and $ 2^3P_2\rightarrow 2^1S_0\;,1^1S_0 $ for the helium atom is presented. Photon energy distributions and precise values of the nonrelativistic transition rates are obtained with employment of correlated wave functions of the Hylleraas type. The possible experiments for the tests of the Bose-Einstein statistics for multiphoton systems are discussed.