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On Polarization of the Beam Extracted with the Bent Crystal

On Polarization of the Beam Extracted with the Bent Crystal. M. Ukhanov IHEP Protvino. Outline. Basics of the phenomenon Estimation of the effect Numerical example. Definition. P ≠ 0. P = 0. A ≠ 0. Junior hunter exercise. P ≠ 0. P = 0. A ≠ 0. Senior hunter exercise. P ≠ 0.

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On Polarization of the Beam Extracted with the Bent Crystal

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  1. On Polarization of the Beam Extracted with the Bent Crystal M. Ukhanov IHEP Protvino

  2. Outline • Basics of the phenomenon • Estimation of the effect • Numerical example M. Ukhanov IHEP Protvino

  3. Definition P ≠ 0 P = 0 A ≠ 0 M. Ukhanov IHEP Protvino

  4. Junior hunter exercise P ≠ 0 P = 0 A ≠ 0 M. Ukhanov IHEP Protvino

  5. Senior hunter exercise P ≠ 0 P = 0 A ≠ 0 M. Ukhanov IHEP Protvino

  6. Consequence from the definition Beam, extracted by means of the bent crystal, must be polarized by definition. M. Ukhanov IHEP Protvino

  7. Analyzing power at small |t| AN = AEM + AH M. Ukhanov IHEP Protvino

  8. Analyzing power at small |t| B.Z. Kopeliovich and T.L. Trueman, hep-ph/0012091 best fit with hadronic spin-flip Kopeliovich – Truemann model PRD64 (01) 034004 hep-ph/0305085 M. Ukhanov IHEP Protvino

  9. What we can expect Critical channeling angle in Si θ= 5 μrad / p½(TeV/c)½ @ p = 70 GeV/c => θ≈ 20 μrad 100 mrad bend gives N = 5000 If AH(t) = A0 |t/t0|½ for very small –t < t0 = 10-3 GeV2 and A0 = AH(10-3 GeV2) = 0.005 Then P ≈ 0.8 M. Ukhanov IHEP Protvino

  10. Dependence on the A0 AH(t) = A0 |t/t0|½ M. Ukhanov IHEP Protvino

  11. Conclusions • Bent crystal extraction provides polarization in the resulted beam. • The beam polarization could be measurable • or even big enough for practical needs. M. Ukhanov IHEP Protvino

  12. Analyzing power evolution at small t M. Ukhanov IHEP Protvino

  13. Independence on the channeling assumptions M. Ukhanov IHEP Protvino

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