Ion collider for nuclear fusion

An ion collider comprising:

• a synchrotron including a plurality of beam-deflection units, each of the plurality of beam-deflection units including a magnetic deflection unit and an electro-static deflection unit that produce, respectively, a magnetic field parallel to an axis of a storage ring of the synchrotron and an electric field toward the axis of the storage ring;
• a first injection accelerator, coupled to the synchrotron, that injects a plurality of deuterons into the synchrotron;
• and
• a second injection accelerator, coupled to the synchrotron, that injects a plurality of helions into the synchrotron;
• wherein the ion collider is configured to:
• (i) co-circulate on a same orbit of the synchrotron, the injected plurality of deuterons as a deuteron beam having a velocity vd and the injected plurality of helions as a helion beam having a velocity vh;
• (ii) at completion of every seventh turn of the deuteron beam in the synchrotron, traverse the deuteron beam with the helion beam during an eighth turn of the helion beam, such that vh=(8/7)vd;
• and
• (iii) apply, via the plurality of beam-deflection units, a radial electric field and a transverse magnetic field to each of the deuteron beam and the helion beam, such that each of quantities q1r0e(E0/v1+B0)/p1 and q2r0e(E0/v2+B0)/p2 equals one, where (i) q1, v1, and p1 are the charge, velocity, and momentum of each charged particle of the deuteron beam, respectively, (ii) q2, v2, and p2 are the charge, velocity, and momentum of each charged particle of the second changed-particle beam respectively, and (iii) E0 and B0 are the respective magnitudes of the applied electric field and magnetic field.