  In this work, we calculate the magnetic moments of the $P^{N^{0}}_{\psi}$
states and $P^{\Delta^{0}}_{\psi}$ states with valence quark content
$\bar{c}cudd $ in molecular model, diquark-diquark-antiquark model and
diquark-triquark model, as well as the transition magnetic moments in the
molecular model. At the same time, we also calculate magnetic moments and
transition magnetic moments of $P^{\Delta^{++}}_{\psi}$ states and
$P^{\Delta^{-}}_{\psi}$ states in the molecular model as additional products.
Our results show that in the diquark-diquark-antiquark model, the magnetic
moments of $ \lambda $ excitation state are usually larger than the magnetic
moments of $ \rho $ excitation state. We find some interesting proportional
relationships between the expressions of transition magnetic moments. The
results provide important insights for future experimental observation of
hidden-charm pentaquark states and help to distinguish their inner structures.
With these efforts, our understanding of the properties for the hidden-charm
pentaquark states will become more abundant.
