The ESS neutrino super beam (ESSνSB) has a great potential to discover the CP-violation in the leptonic sector. The beam consists of a four-horns/targets system in order to produce and focus the charged mesons that decay in flight inside a 25 m long tunnel and produce the neutrino beam. The horns power supply unit is described along with its possible synchronization with the accumulator-rings system that will deliver the proton beams to the four targets. The accumulator system is necessary to shorten the primary proton beam pulses lengths and as sequence to shorten the horns current pulses lengths which is crucial for the horn survival. In addition, details of the muon flux at the end of the decay tunnel are given. This high intensity muon beam, which is produced also from the decaying mesons could be introduced to the nuSTORM racetrack in order to measure the neutrino cross sections of interest for the ESSνSB.