An irradiation method and system for irradiating a target volume, the method comprising: providing thermal neutron absorbing nuclides (such as in the form of a high neutron cross-section agent) at the target volume; and producing neutrons by irradiating nuclei in or adjacent to the target volume with a beam of particles consisting of any one or more of protons, deuterons, tritons and heavy ions, thereby prompting production of the neutrons through non-elastic collisions between the atoms in the path of the beam (including the target) and the particles. The neutron absorbing nuclides absorb neutrons produced in the non-elastic collisions, thereby producing capture products or fragments that irradiate the target volume.