Quantum Coherence and Giant Enhancement of Positron Channeling Radiation

• URL: http://arxiv.org/abs/2603.28827v1
• Date: Sun, 29 Mar 2026 17:16:28 GMT
• Title: Quantum Coherence and Giant Enhancement of Positron Channeling Radiation
• Abstract summary: We present a quantum-mechanical calculation of positron channeling radiation in a planar harmonic potential.<n>The entry of the positron into the crystal creates a Glauber coherent state with population amplitudes.<n>The transition from $N$- to $N2$-scaling of the radiated intensity, driven by quantum coherence, opens a route toward high-intensity gamma-ray sources.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a quantum-mechanical calculation of positron channeling radiation in a planar harmonic potential, explicitly accounting for the interference between transition amplitudes from different transverse energy levels. Because the planar channel potential for positrons in diamond~(110) is well approximated by a parabola, the transverse spectrum is equidistant, $\varepsilon_n = Ω(n+\tfrac{1}{2})$, and all $n \to n{-}j$ transitions radiate at the same Doppler-shifted frequency. The entry of the positron into the crystal under the sudden approximation creates a Glauber coherent state with population amplitudes $c_n$. Phase synchronization between the $c_n$ and the dipole matrix elements ensures that all occupied levels contribute constructively to the radiation amplitude, giving an intensity $I_{\rm coh} \propto |A_j|^2$ that exceeds the incoherent (Zhevago--Kumakhov) result by a factor $\mathcal{G} = 12\text{--}31$ for positron energies of $4\text{--}14$~GeV in diamond~(110). Numerical results agree with the experimental peak positions of Avakyan \emph{et al.}~\cite{Avakyan1982}. The enhancement is unique to positrons because their nearly harmonic channel potential is not replicated for electrons. We propose a decisive experimental test of the coherent model based on the predicted nonlinear angular dependence of the peak intensity. The transition from $N$- to $N^2$-scaling of the radiated intensity, driven by quantum coherence, opens a route toward high-intensity monochromatic gamma-ray sources for nuclear physics and materials science.

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