Magnetic moments of strange hidden-bottom pentaquarks and the role of spin flavor correlations

Abstract

We investigate the magnetic moments of strange hidden-bottom pentaquark states within the constituent quark model, considering both molecular and compact configurations. The system with quark content $qqqb\bar{b}$ ($q=u,d,s$) is analyzed in three configurations: a baryon-meson molecular form $(\bar{b}{q}_1)(b{q}_2{q}_3)$, a diquark-diquark-antiquark structure $(b{q}_1)(q_2{q}_3)\bar{b}$, and a diquark-triquark configuration $(b{q}_1)(\bar{b}{q}_2{q}_3)$. Negative-parity states with $J^P=1/2^{-}$, $3/2^{-}$, and $5/2^{-}$ are studied for strangeness $\mathcal{S}=-1,-2,-3$. For the dominant spin couplings, the two compact configurations yield identical or numerically very close magnetic moments. This indicates that the magnetic properties are governed primarily by the global spin-flavor structure and heavy-quark suppression effects rather than by the specific clustering of quarks. A systematic suppression with increasing strangeness and a clear spin hierarchy are observed across all configurations. Due to the large bottom-quark mass, heavy-quark contributions are strongly suppressed, and the magnetic moments are dominated by light-strange spin correlations. These results provide useful theoretical benchmarks for future experimental and lattice studies of exotic multiquark states.

Comments: 10 pages, 1 figure, 4 tables