EQUATION REGISTRY

Single-photon pair threshold with recoil

Z is initially at rest and retains mass M. Assumes E²=m²c⁴+c²p² and Eγ=c|pγ|; the threshold does not determine a rate.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 4

ASD-WEB-MAT-020
γ+Z→e−+e++Z,S=M2c4+2Mc2Eγ,Eγ,th=2mec2(1+me/M)\gamma+Z\to e^-+e^++Z,\quad\mathcal S=M^2c^4+2Mc^2E_\gamma,\quad E_{\gamma,\rm th}=2m_ec^2(1+m_e/M)

Z is initially at rest and retains mass M. Assumes E²=m²c⁴+c²p² and Eγ=c|pγ|; the threshold does not determine a rate.
Chapter reference: Ch. 4 (4.72)–(4.74) · ASD-BOOK-ddbade997b45

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Ch. 4 (4.72)–(4.74)

Registered equation, symbols and scope checked against the final manuscript; original ID and scientific status preserved.

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  • Z is initially at rest and retains mass M. Assumes E²=m²c⁴+c²p² and Eγ=c|pγ|; the threshold does not determine a rate.

Source locators: p1536–p1545

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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MAT-d1034a344d58 · Ch. 4 (4.72)–(4.74)

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