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Hyperfine Splitting in True Muonium to $\mathcal{O}(m_\mu\alpha^6)$: Two Photon Annihilation Contribution from Other Flavors

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abstract

The two-photon-annihilation contribution to the true muonium hyperfine splitting arising from $e$ and $\tau$ loops is obtained analytically at order $m_\mu\alpha^6$. The contribution to the hyperfine splitting is $-2.031092873 m_\mu\alpha^6/n^3\pi^2=-793.926988/n^3$ MHz. The contribution to the triplet true muonium decay rate has also been obtained and was found to be $9.825708266 m_\mu\alpha^6/n^3\pi^2=3840.737698/n^3$ MHz. Additional results have been computed for other purely leptonic bound states.

fields

nucl-th 1

years

2025 1

verdicts

REJECT 1

representative citing papers

Searching for True Muonium in Relativistic Heavy Ion Collisions

nucl-th · 2025-05-15 · reject · novelty 6.0

The paper predicts effective true muonium production cross sections of 1.23 μb in 200 GeV AuAu and 14.2 μb in 5.02 TeV PbPb collisions, corresponding to O(10^4) and O(10^5) atoms per billion central events.

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  • Searching for True Muonium in Relativistic Heavy Ion Collisions nucl-th · 2025-05-15 · reject · none · ref 6 · internal anchor

    The paper predicts effective true muonium production cross sections of 1.23 μb in 200 GeV AuAu and 14.2 μb in 5.02 TeV PbPb collisions, corresponding to O(10^4) and O(10^5) atoms per billion central events.