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We consider Pauli--Dirac fermion submitted to an inhomogeneous magneticfield. It is showed that the propagator of the neutral Dirac particle with ananomalous magnetic moment in an external linear magnetic field is the causalGreen function $S^{c}(x_{b},x_{a})$ of the Pauli--Dirac equation. Thecorresponding Green function is calculated via path integral method in globalprojection, giving rise to the exact eigenspinors expressions. The neutralparticle creation probability corresponding to our system is analyzed, which isobtained as function of the introduced field $B'$ and the additional spinmagnetic moment $\mu$.

Exact Green Function for Neutral Pauli-Dirac Particle with Anomalous Magnetic Momentum in Linear Magnetic Field