The energy spectrum of three protons trap systems

This paper consider possibility that three proton may bind in uniform strong magnetic field. We have used hyperspherical functions method for solution of the relative part Hamiltonian of three protons confined in the presence of an applied uniform magnetic field. The spin singlet-triplet transition in the ground state of the three protons is shown. We have also displayed the singlet-triplet energy gap, $\Delta $ = E$_{T}$ -- E$_{S}$, against the strength of the magnetic field.