celeritas::MuBBEnergyDistribution Class Reference

Sample delta ray energy for the muon Bethe-Bloch ionization model. More...

#include <MuBBEnergyDistribution.hh>

Public Types
Type aliases
using	Energy = units::MevEnergy
using	Mass = units::MevMass

Public Member Functions
CELER_FUNCTION	MuBBEnergyDistribution (ParticleTrackView const &particle, Energy electron_cutoff, Mass electron_mass)
	Construct with incident and exiting particle data.
template<class Engine >
CELER_FUNCTION Energy	operator() (Engine &rng)
CELER_FUNCTION Energy	min_secondary_energy () const
	Minimum energy of the secondary electron [MeV].
CELER_FUNCTION Energy	max_secondary_energy () const
	Maximum energy of the secondary electron [MeV].
template<class Engine >
CELER_FUNCTION auto	operator() (Engine &rng) -> Energy
	Sample secondary electron energy.

Detailed Description

Sample delta ray energy for the muon Bethe-Bloch ionization model.

This samples the energy according to the muon Bethe-Bloch model, as described in [g4prm] (release 11.2, section 11.1). At the higher energies for which this model is applied, leading radiative corrections are taken into account. The differential cross section can be written as

\[ \sigma(E, \epsilon) = \sigma_{BB}(E, \epsilon)\left[1 + \frac{\alpha}{2\pi} \log \left(1 + \frac{2\epsilon}{m_e} \log \left(\frac{4 m_e E(E - \epsilon}{m_{\mu}^2(2\epsilon + m_e)} \right) \right) \right]. \]

\( \sigma_{BB}(E, \epsilon) \) is the Bethe-Bloch cross section, \( m_e \) is the electron mass, \( m_{\mu} \) is the muon mass, \( E \) is the total energy of the muon, and \( \epsilon = \omega + T \) is the energy transfer, where \( T \) is the kinetic energy of the electron and \( \omega \) is the energy of the radiative gamma (which is neglected).

As in the Bethe-Bloch model, the energy is sampled by factorizing the cross section as \( \sigma = C f(T) g(T) \), where \( f(T) = \frac{1}{T^2} \) and \( T \in [T_{cut}, T_{max}] \). The energy is sampled from \( f(T) \) and accepted with probability \( g(T) \).

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The documentation for this class was generated from the following file:

• MuBBEnergyDistribution.hh