Exploring the physics of the accretion and jet in nearby narrow-line Seyfert 1 galaxies

In this paper, we explore the physics of the accretion and jet in narrow-line Seyfert 1 galaxies (NLS1). Specifically, we compile a sample composed of 16 nearby NLS1 with $L_{\rm bol}/L_{\rm Edd} \gtrsim 0.1$. We investigate the mutual correlation between their radio luminosity $L_{\rm R}$, X-ray luminosity $L_{\rm X}$, optical luminosity $L_{\rm 5100}$ and black hole mass $M_{\rm BH}$. By adopting partial correlation analysis: (1) we find a positive correlation between $L_{\rm X}$ and $M_{\rm BH}$, and (2) we find a weak positive correlation between $L_{\rm R}$ and $L_{5100}$. However, we don't find significant correlations between $L_{\rm R}$ and $L_{\rm X}$ or between $L_{\rm X}$ and $L_{5100}$ after considering the effect of the black hole mass, which leads to a finding of the independence of $L_{\rm X}/L_{\rm Edd}$ on $L_{5100}/L_{\rm Edd}$. Interestingly, the findings that $L_{\rm X}$ is correlated with $M_{\rm BH}$ and $L_{\rm X}/L_{\rm Edd}$ is not correlated with $L_{5100}/L_{\rm Edd}$ support that the X-ray emission is saturated with increasing $\dot{M}$ for $L_{\rm bol}/L_{\rm Edd} \gtrsim 0.1$ in NLS1s, which may be understood in the framework of slim disc scenario. Finally, we suggest that a larger NLS1 sample with high quality radio and X-ray data is needed to further confirm this result in the future.