New Method for a Continuous Determination of the Spin Tune in Storage Rings and Implications for Precision Experiments

Eversmann, D.; Hejny, V.; Hinder, F.; Kacharava, A.; Pretz, J.; Rathmann, F.; Rosenthal, M.; Trinkel, F.; Andrianov, S.; Augustyniak, W.; Bagdasarian, Z.; Bai, M.; Bernreuther, W.; Bertelli, Susanna; Berz, M.; Bsaisou, J.; Chekmenev, S.; Chiladze, D.; Ciullo, Giuseppe; Contalbrigo, Marco; de Vries, J.; Dymov, S.; Engels, R.; Esser, F.  . m.; Felden, O.; Gaisser, M.; Gebel, R.; Glückler, H.; Goldenbaum, F.; Grigoryev, K.; Grzonka, D.; Guidoboni, Greta; Hanhart, C.; Heberling, D.; Hempelmann, N.; Hetzel, J.; Hipple, R.; Hölscher, D.; Ivanov, A.; Kamerdzhiev, V.; Kamys, B.; Keshelashvili, I.; Khoukaz, A.; Koop, I.; Krause, H. J.; Krewald, S.; Kulikov, A.; Lehrach, A.; Lenisa, Paolo; Lomidze, N.; Lorentz, B.; Maanen, P.; Macharashvili, G.; Magiera, A.; Maier, R.; Makino, K.; Mariański, B.; Mchedlishvili, D.; Meißner, Ulf G.; Mey, S.; Nass, A.; Natour, G.; Nikolaev, N.; Nioradze, M.; Nogga, A.; Nowakowski, K.; Pesce, Andrea; Prasuhn, D.; Ritman, J.; Rudy, Z.; Saleev, A.; Semertzidis, Y.; Senichev, Y.; Shmakova, V.; Silenko, A.; Slim, J.; Soltner, H.; Stahl, A.; Stassen, R.; Statera, Marco; Stephenson, E.; Stockhorst, H.; Straatmann, H.; Ströher, H.; Tabidze, M.; Talman, R.; Thörngren Engblom, P.; Trzciński, A.; Uzikov, Y. u.; Valdau, Y. u.; Valetov, E.; Vassiliev, A.; Weidemann, C.; Wilkin, C.; Wirzba, A.; Wrońska, A.; Wüstner, P.; Zakrzewska, M.; Zuprański, P.; Zyuzin, D.

doi:10.1103/PhysRevLett.115.094801

A new method to determine the spin tune is described and tested. In an ideal planar magnetic ring, the spin tune - defined as the number of spin precessions per turn - is given by νs=γG (gamma is the Lorentz factor, G the magnetic anomaly). For 970 MeV/c deuterons coherently precessing with a frequency of ~120 kHz in the Cooler Synchrotron COSY, the spin tune is deduced from the up-down asymmetry of deuteron carbon scattering. In a time interval of 2.6 s, the spin tune was determined with a precision of the order 10−8, and to 1⋅10−10 for a continuous 100 s accelerator cycle. This renders the presented method a new precision tool for accelerator physics: controlling the spin motion of particles to high precision is mandatory, in particular, for the measurement of electric dipole moments of charged particles in a storage ring.