Positronium Hyperfine Splitting in Non-commutative Space at the Order $α^6$

Details Positronium Hyperfine Splitting in Non-commutative Space at the Order $α^6$ Positronium Hyperfine Splitting in Non-commutative Space at the Order $α^6$

2001-09-12

arxiv.org/abs/hep-ph/0109105v2

Phys.Rev. D66 (2002) 016005

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.016005

We obtain positronium Hyperfine Splitting owing to the non-commutativity of space and show that, in the leading order, it is proportional to $\theta \alpha^6$ where, $\theta$ is the parameter of non-commutativity. It is also shown that spatial non-commutativity splits the spacing between $n=2$ triplet excited levels $E(2^3S_1)\to E(2^3P_2)$ which provides an experimental test on the non-commutativity of space.

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