Scalarized charged black holes with scalar mass term

We study the scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with scalar mass term. In this work, the scalar mass term is chosen to be m_^2=/, where is a coupling parameter and is a masslike parameter. It turns out that any scalarized charged black holes are not allowed for the case of 4. 4 with q=0. 7 (M=0. 5, Q=0. 35) because this case implies the stable Reissner-Nodstr\"om (RN) black holes. In the massless limit of, one recovers the case of the EMS theory. We note that the unstable RN black hole implies the appearance of scalarized charged black holes. The other unstable case of >4. 4 with q=0. 7 allows us to obtain the n=0, 1, 2, scalarized charged black holes for () ₓ₇ () where ₓ₇ () represents the threshold of instability for the RN black hole. Furthermore, it is shown that the n=0 black hole is stable against radial perturbations, while the n=1 black hole is unstable. This stability result is independent of the mass parameter.