The Spin-Spin Dynamics of Glueballs
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918142976983040 |
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| author | Badalian, A. M. Lukashov, M. S. |
| author_facet | Badalian, A. M. Lukashov, M. S. |
| contents | The masses of pure gauge glueballs are calculated with the use of relativistic string Hamiltonian without fitting parameters. The string tension $σ_f=0.184$~GeV$^2$ in fundamental representation is fixed, using the Necco-Sommer lattice data, and to calculate the vector coupling $α_{\rm V}(r)$ the value of $Λ_{\overline{MS}}^0=238$~MeV ($N_f=0$) is taken. The spin-spin potential, defined via the vacuum correlation function, is shown to produce a screening effect and decrease a hyperfine splittings between tensor and scalar glueballs. The masses of first and second $0^{++}$, $2^{++}$ excitations are predicted. For the ground states the masses $M(0^{++})=1508$~MeV, $M(2^{++})=2292$~MeV (in case A), in agreement with those of $f_0(1500),~f_2(2300)$ are obtained, and the first excitation mass $M(0^{++})=2613$~MeV is predicted. In case B $M(0^{++})=1.669$~MeV, $M(2^{++})=2212$~MeV are obtained. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_13830 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Spin-Spin Dynamics of Glueballs Badalian, A. M. Lukashov, M. S. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice The masses of pure gauge glueballs are calculated with the use of relativistic string Hamiltonian without fitting parameters. The string tension $σ_f=0.184$~GeV$^2$ in fundamental representation is fixed, using the Necco-Sommer lattice data, and to calculate the vector coupling $α_{\rm V}(r)$ the value of $Λ_{\overline{MS}}^0=238$~MeV ($N_f=0$) is taken. The spin-spin potential, defined via the vacuum correlation function, is shown to produce a screening effect and decrease a hyperfine splittings between tensor and scalar glueballs. The masses of first and second $0^{++}$, $2^{++}$ excitations are predicted. For the ground states the masses $M(0^{++})=1508$~MeV, $M(2^{++})=2292$~MeV (in case A), in agreement with those of $f_0(1500),~f_2(2300)$ are obtained, and the first excitation mass $M(0^{++})=2613$~MeV is predicted. In case B $M(0^{++})=1.669$~MeV, $M(2^{++})=2212$~MeV are obtained. |
| title | The Spin-Spin Dynamics of Glueballs |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.13830 |