Abstract
A clear synchrobetatron resonant coupling of Mg ion beam was observed experimentally in the horizontal laser beam cooling experiment in small laser equipped storage ring. Synchrotron and horizontal betatron motions were intentionally coupled in a rf cavity. Using the Hamiltonian which is composed of coasting, synchrotron and betatron motions, physical mechanism of the coupling is analyzed to explain the observed horizontal betatron tune jump near the synchrobetatron resonant coupling point. There energy exchange between the synchrotron oscillation and the horizontal betatron oscillation was mediated by coasting particles and the freedom of the horizontal direction is connected with the freedom of the longitudinal direction.
Highlights
Laser cooling techniques have been applied to cool down the longitudinal direction of an ion beam
The synchrobetatron resonant coupling method where the cooling force in the longitudinal direction was extended to the horizontal direction, was proposed to enable the horizontal cooling
The synchrobetatron resonant coupling method was employed in small laser equipped storage ring (S-LSR), in which the horizontal laser cooling was already observed [3]
Summary
Laser cooling techniques have been applied to cool down the longitudinal (orbital) direction of an ion beam. The synchrobetatron resonant coupling method was employed in S-LSR, in which the horizontal laser cooling was already observed [3]. Near the synchrobetatron resonant coupling point where the difference integer resonance condition was satisfied, an unexpected tune jump of the horizontal betatron tune was observed. The difference integer resonance condition of integer 1 is satisfied between the horizontal and the vertical betatron tunes but there is no coupling mechanism.
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