the negative scattering length for diproton or dineutron shows that the two proton or two neutron do not form a stable bound state.

in addition because nucleons have spin 1/2, the wave function must be antisymmetric with respect to interchange of the nucleons. at low energy we can suppose that l=0, the spatial part is symmetric. well, if the total wave function must be antisymmetric the spin part must be antisymmetric. but the two proton have the same spin direction and so on for dineutron.

are there extra reason for nonexistence of di-proton or di-neutron ?!

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