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

M. Haghighat·S. M. Zebarjad·F. Loran
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Abstract

We obtain positronium Hyperfine Splitting owing to the non-commutativity of space and show that, in the leading order, it is proportional to $θα^6$ where, $θ$ 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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M. Haghighat, S. M. Zebarjad, F. Loran. 2002-06-08. Positronium Hyperfine Splitting in Non-commutative Space at the Order $α^6$. https://doi.org/10.1103/physrevd.66.016005

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