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Searching for True Muonium in Relativistic Heavy Ion Collisions

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arxiv 2505.10070 v1 pith:PSX2346G submitted 2025-05-15 nucl-th hep-ph

Searching for True Muonium in Relativistic Heavy Ion Collisions

classification nucl-th hep-ph
keywords collisionsmuoniumtruerelativisticheavy-ionmathcalsqrtas-yet-undetected
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the production of the as-yet-undetected true muonium within the quark-gluon plasma formed in relativistic heavy-ion collisions, employing a relativistic Boltzmann transport framework coupled to viscous hydrodynamic simulations. The obtained effective cross sections for central collisions are 1.23~$\mu b$ in AuAu collisions with $\sqrt{s_{\rm NN}}=200$~GeV and 14.2~$\mu b$ in PbPb collisions with $\sqrt{s_{\rm NN}}=5.02$~TeV, resulting in a yield of $\mathcal{O}(10^4)$ and $\mathcal{O}(10^5)$ true muonium per billion $AA$ collisions at RHIC and the LHC, respectively. This establishes heavy-ion collisions as a promising process for detecting true muonium.

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