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Geant4 - an Object-Oriented Toolkit for Simulation in HEP
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field05 Example
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This example checks so-called "spin-frozen" condition
There is a good example article hep-ph/0012087v1.
This article discusses about how to cancel the muon g-2 precession by
applying an electric field.
1) beta is muon velocity,
2) B is an uniform magnetic field and \vec{beta}.\vec{B}=0,
"." means scalar product,
3) Radial electric field (E) in the lab frame and \vec{beta}.\vec{E}=0,
4) a=(g-2)/2 is muon anomalous magnetic moment.
The required electric field to cancel the g-2 precession is,
E=a*B*light_c*gamma**2*beta.
In case of gamma=5 and B=0.24 Tesla, the required electric field is
E=2 MV/m.
"Spin-frozen" happens when spin rotation cycle and muon rotation cycle
are same. In this case, both cycles should be 149.5 nsec.
See also:
http://research.kek.jp/people/hiromi/MyHomePage/G-2_work_files/SpinStudyinEMfieldByGeant4.pdf
Credit goes to Hiromi Iinuma from KEK.
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*Classes Used*
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1 - main()
See field05.cc.
2- GEOMETRY DEFINITION
as simple world G4Box with a G4ElectroMagneticField
propagating both spin and momentum (G4EqEMFieldWithSpin)
with G4ClassicalRK4(fEquation,12) and
Bz = 0.24*tesla;
Er = 2.113987E+6*volt/m;
3- AN EVENT: THE PRIMARY GENERATOR
use mu+ G4ParticleGun with Pmu = 517.6*MeV/c
and aligned spin and momentum direction
4- PHYSICS
RegisterPhysics(new G4SpinDecayPhysics());
RegisterPhysics(new G4StepLimiterPhysics());
G4SpinDecayPhysics defines muon decay modes with spin,
G4StepLimiterPhysics defines G4StepLimiter and G4UserSpecialCuts.
5- User Action Classes
SteppingAction:
G4Exception when the cosine of the angle between
the spin and the momentum is < (1.-1.E-7)
6- HOW TO START ?
- Execute field05 in 'batch' mode from macro files e.g.
% field05 field05.in > field.out &
- Execute field05 in 'interactive' mode with visualization e.g.
% field05
....
Idle> type your commands, for example:
Idle> run/beamOn 1
....