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Tensor Polarizability of the Nucleus and Angular Mixing in Muonic Deuterium

G. S. Adkins, U. D. Jentschura

Abstract

We investigate the effects of the tensor polarizability of a nucleus on thebound-state energy levels, and obtain a general formula for the contribution of the tensor polarizability to the energy levels in two-body bound systems. In particular, it is demonstrated that the tensor polarizability leads to mixing between states with different orbital angular momenta. The effect of tensor polarizability is evaluated for the hyperfine-structure components of P states and for the mixing of S and D states in muonic deuterium.

Tensor Polarizability of the Nucleus and Angular Mixing in Muonic Deuterium

Abstract

We investigate the effects of the tensor polarizability of a nucleus on thebound-state energy levels, and obtain a general formula for the contribution of the tensor polarizability to the energy levels in two-body bound systems. In particular, it is demonstrated that the tensor polarizability leads to mixing between states with different orbital angular momenta. The effect of tensor polarizability is evaluated for the hyperfine-structure components of P states and for the mixing of S and D states in muonic deuterium.
Paper Structure (8 sections, 42 equations)

This paper contains 8 sections, 42 equations.

Table of Contents

  1. Introduction
  2. Tensor Polarizability
  3. Tensor Algebra
  4. Polarizability and Mixing in Muonic Deuterium
  5. Orientation
  6. Mixing of $\maybebm{2P}$ States of Muonic Deuterium
  7. Mixing of $\maybebm{3S}$ and $\maybebm{3D}$ States
  8. Conclusions