The free space di-proton (1p1p) and di-neutron (onon) are not bound and are non-existent. However, the latter can and does exist as a 1So entity in the confines of a quantum field of a nearby nucleus. Igor Kadenko et al. have shown that when a single low energy neutron approaches within femtometers of a Tb or Au nucleus, on actually sequesters a neutron from the nuclear skin to form the di-neutron (on↓on↑) residing in the quantum field (QF) of the heavy nucleus. This product can be expressed as [Φn1⊗Φn2]⊗ΦNuc (a three-body problem), leaving the di-neutron free to fuse with the nearby nucleus leading to useful transmutation products. During Fleischmann-Pons heat effect (FPHE) electrolysis experiments, the di-neutron is also formed via deuteron-electron capture; Φe-⊗ΦD+ (for a near relativistic electron) suggests a positive scattering length (electron penetration below the Bohr radius) and di-neutron formation. Since the uncharged onon can freely pass through the Coulomb barrier of the deuteron (2D+), the resulting hydrogen-4 can undergo electro-weak decay to 4He. The di-neutron provides a mechanism for the FPHE observed during the electrolysis of palladium deuteride in D2O, which has now been confirmed and reproduced by M. R. Staker.