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One of the main goals of the Long Baseline Neutrino Observatory (LBNO) is tostudy the $L/E$ behaviour (spectral information) of the electron neutrino andantineutrino appearance probabilities, in order to determine the unknownCP-violation phase $\delta_{CP}$ and discover CP-violation in the leptonicsector. The result is based on the measurement of the appearance probabilitiesin a broad range of energies, covering t he 1st and 2nd oscillation maxima, ata very long baseline of 2300 km. The sensitivity of the experiment can bemaximised by optimising the energy spectra of the neutrino and anti-neutrinofluxes. Such an optimisation requires exploring an extended range of parametersdescribing in details the geometries and properties of the primary protons,hadron target and focusing elements in the neutrino beam line. In this paper wepresent a numerical solution that leads to an optimised energy spectra andstudy its impact on the sensitivity of LBNO to discover leptonic CP violation.In the optimised flux both 1st and 2nd oscillation maxima play an importantrole in the CP sensitivity. The studies also show that this configuration isless sensitive to systematic errors (e.g. on the total event rates) than anexperiment which mainly relies on the neutrino-antineutrino asymmetry at the1st maximum to determine the existence of CP-violation.

Optimised sensitivity to leptonic CP violation from spectral information: the LBNO case at 2300 km baseline