Proton-spin-flipping system based on orbit-steerer dipoles in the nuclotron/JINR operating at the $\gamma G=7$ spin resonance

We propose a system to produce multiple spin reversals of a polarized proton beam based on orbit-steerer dipoles already installed in the Nuclotron, a superconducting synchrotron at the Joint Institute for Nuclear Research, when the latter operates in the spin-transparency regime. The beam momentum of $3.54$ GeV/c corresponds to the integer spin resonance $\gamma G=7$. We report the results of numerical simulation of the proton spin dynamics pertinent to the acceleration up to $\gamma G=7$, including the adiabatic capture of spins by navigators and the subsequent multiple spin flips. A feasibility of the pilot experiment to verify our approach with the current magnetic lattice of the Nuclotron is discussed. To preserve the beam polarization during the crossing of integer resonances we propose to employ intentional resonance-strength enhancements effected by controlled variations of the beam orbit during acceleration.