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The spin alignment is quantified by measuring the element ρ$_{00}$ of the diagonal spin-density matrix for prompt D$^{*+}$ mesons with 4 < p$_{T}$< 30 GeV/c in two rapidity intervals, |y|< 0.3 and 0.3 < |y|< 0.8, in central (0–10%) and midcentral (30–50%) Pb–Pb collisions at $\sqrt{{s}_{\text{NN}}}={5}.0{2}$ TeV. Evidence of spin alignment ρ$_{00}$> 1/3 has been found for p$_{T}$> 15 GeV/c and 0.3 < |y|< 0.8 with a significance of 3.1σ. The measured spin alignment of prompt D$^{*+}$ mesons is compared with the one of inclusive J/ψ mesons measured at forward rapidity (2.5 < y < 4).Journal of high energy physics 10(10), 94 (2025). doi:10.1007/JHEP10(2025)094info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionSpringer2025info:eu-repo/semantics/openAccessDEhttps://repository.gsi.de/record/364034https://repository.gsi.de/search?p=id:%22GSI-2026-00217%22Researchersinfo:eu-repo/semantics/altIdentifier/issn/1029-8479info:eu-repo/semantics/altIdentifier/arxiv/arXiv:2504.00714info:eu-repo/semantics/altIdentifier/doi/10.15120/GSI-2026-00217info:eu-repo/semantics/altIdentifier/issn/1126-6708info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP10(2025)094info:eu-repo/semantics/altIdentifier/wos/WOS:001628387400001info:eu-repo/semantics/altIdentifier/issn/1127-2236info:eu-repo/grantAgreement/EC//824093