Recent results in the hadron spectrum and tools from the JPAC Collaboration

We will review the most recent results by the JPAC theoretical collaboration concerning the hadron spectrum as well as the theoretical tools to study the former. In particular, we will discuss our work about the LHCb pentaquarks, the exotic $\pi _{1}$ (1400)/ $\pi _{1}$ (1600), and theoretical methods to study three-body decays.