Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake

1. "ADVANCED STUDIES INSTITUTE – SYMMETRIES AND SPIN"(SPIN-PRAHA-2013 AND NICA-SPIN-2013) July7 –13, 2013, Prague , Czech Republic Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake Yu.N. Filatov1,3,A.D. Kovalenko1, A.V. Butenko1, A.M. Kondratenko2, M.A. Kondratenko2 and V.A. Mikhaylov1 1Join Institute for Nuclear Research, Dubna, Russia 2 Science and Technique Laboratory Zaryad, Novosibirsk, Russia 3Moscow Institute of Physics and Technology, Dolgoprydny, Russia

2. Polarized proton and deuteron in Nuclotron Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague B. Issinskii et al., “Deuteron Resonance Depolarization Degree in JINRNuclotron,” in Proc. of VI Workshopon HESP, Protvino, 1996 N. I. Golubeva et al., “Study of Depolarization ofDeuteron and ProtonBeams in Nuclotron Ring,” PreprintJINR R9-22-289 (Dubna, 2002) S.Vokal et al.“Program of PolarizationStudies and Capabilities of Accelerating Polarized Proton and Light Nuclear Beams at the Nuclotron of the Joint Institute for Nuclear Research”,Physics of Particles and Nuclei Letters, 2009, Vol. 6, No. 1, pp. 48–58. I.Meshkov and Yu.Filatov , “ Polarized hadrons beams in NICA project”,19th International Spin Physics Symposium, 2010Jülich, Germany A.Kovalenko et al. The NICA Facility in polarized proton operation mode, IPAC’11

3. Spin resonances at Nuclotron An option: acceleration up to 6 GeV and extraction into NICA collider for further acceleration up to 12 GeV max. Dangerous resonances are marked with red caps dB/dt = 1 T/s 4 4 1 1 1 5 2 Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague lg(w/wD) 1.Intrinsic res. spin = kp  Qy 2.Integer res. spin = k lg(w/wD) Ep ,GeV Ep ,GeV wD = 7.310-4 wD = 7.310-4 4. Coupling res. spin = m  Qx , m  kp 3. Nonsuperperiodic res. spin = m  Qy , m  kp lg(w/wD) lg(w/wD) Ep ,GeV Ep ,GeV 16 wD = 7.310-4 wD = 7.310-4

4. Full and Partial Siberian Snake Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,DSPIN-2012, Sep 17- 22, 2012, Dubna Spin tune in accelerator with Partial Siberian Snake eliminate integer resonances eliminate intrinsic resonances Full Siberian Snake

5. Solenoid Siberian Snake in Nuclotron (Ekin=5GeV) is angle between polarization and vertical axis Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague Partial Siberian Snake Full Siberian Snake (B||L)max=11Tm, (z=/2),|k-y,x|<0.25 (B||L)max=5,5Tm, (z=/4),|k-y,x|<0.125 Total longitudinal field integral:(B||L)max= 22Tm (z=) It is appropriate to apply partial Siberian Snake in Nuclotron for proton polarization preservation during acceleration (acceleration time acc~1 sec). It allows to use free space of Nuclotron more efficiently.

6. Conventional coupling compensation scheme Compensation quadrupoles for any spin rotation angle of solenoids Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague Two free spaces of Nuclotron for installation of the partial Siberian Snake Structural quadrupole: Solenoid parameters: Conventional scheme allows to compensate the solenoids coupling, but it significantly changes the orbital characteristics of Nuclotron ring. Conventional coupling compensation schemes with optical transparency condition are unfeasible in Nuclotron.

7. qi, i q2, 2 q1, 1 … … sol 1 sol i sol 2 L 0 z1 zi z2 Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague Coupling Compensation Consider a system of weak solenoids and quadrupoles in a straightsection where are angles between quadrupole normal and vertical accelerator axis is net orbit angle in solenoids Coupling compensation and optical transparency conditions Conventional schemeuses strong quadrupoles 7

8. q0, 0 = 0 qi, i q2, 2 q1, 1 … … … sol 1 sol i sol 2 L 0 z1 z0 zi z2 Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague Coupling Compensation(section with one structural quadrupole) Structural quadrupole allows to reduce strengths of compensating quadrupoles additionally 8

9. Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague The optical transparency scheme of coupling compensation are angles between quadrupole normal and vertical accelerator axis is quadrupole gradient G0 is the structural defocusing quadrupole Ekin= 5 GeV

10. Yu. Filatov et al., Polarized Proton Beam Acceleration at Nuclotron with the use of the Solenoid Siberian Snake,SPIN-Praha 2013, July 7- 13, 2013, Prague Summary & Outlook • The class of optical transparency schemes for solenoidal inserts is presented.Usage of structural quadrupole allows to reduce strengths of compensating quadrupoles additionally. Such inserts do not change orbital characteristics of the Nuclotron. • Partial Siberian Snakes open possibility to use Nuclotron as the polarized protons injector for NICA collider and for fix target experiments too. • Similar schemes of partial Siberian Snake can be used to preserve proton polarization in the Booster.

11. Thank you for your attention!