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Table B.2.

Analytical profile parameters for embedded astrophysical structures and corresponding numerical values used in Figs. 16.

Structure Quantity Analytical form Parameters
H II region Electron density ne, HII 𝒢 An, HII = 2000 × ne, bkg(R1, Z1), σn, HII = 0.25.
Magnetic field B0, HII 𝒢 AB, HII = −0.7 × B0, bkg(R1, Z1), σB, HII = 0.25.
Temperature THII 𝒢 AT, HII = 0.25  ×  Te, bkg, σT, HII = 0.25.

SWB shell Electron density ne, sh, SWB 𝒮 An, sh, SWB = 4 × ne, bkg(R2, Z2), Rsh, SWB = 0.25,
σn, in, SWB = Rsh, SWB/10, σn, out, SWB = σn, in, SWB/4.
Magnetic field B0, sh, SWB 𝒮 AB, sh, SWB = 10 × B0, bkg(R2, Z2),
σB, in, SWB = Rsh, SWB/10, σB, out, SWB = σB, in, SWB/4.
Temperature Te, sh, SWB 𝒮 AT, sh, SWB = 104 K−Te, bkg,
σT, in, SWB = Rsh, SWB/2, σT, out, SWB = σn, in, SWB/6.

SWB cavity Electron density ne, cav, SWB 𝒢 An, cav, SWB = −0.9 × ne, bkg(R2, Z2),
σn, cav, SWB = Rsh, SWB/2.
Magnetic field B0, cav, SWB 𝒢 AB, cav, SWB = −0.5 × B0, bkg(R2, Z2),
σB, cav, SWB = Rsh, SWB/2.

SWB interior Temperature Te, plat, SWB 𝒫 AT, plat, SWB = 106 K−Te, bkg, Rflat, SWB = 0.6 × Rsh, SWB.

SNR shell Electron density ne, sh, SNR 𝒮 An, sh, SNR = 4 × ne, bkg(R3, Z3), Rsh, SNR = 0.25,
σn, in, SNR = Rsh, SNR/10, σn, out, SNR = σn, in, SNR/10.
Magnetic field B0, sh, SNR 𝒮 AB, sh, SNR = 4 × B0, bkg(R3, Z3),
σB, in, SNR = Rsh, SNR/10, σB, out, SNR = σB, in, SNR/10.
Temperature Te, sh, SNR 𝒮 AT, sh, SNR = (104 K−Te, bkg),
σT, in, SNR = Rsh, SNR/1.5, σT, out, SNR = σT, in, SNR/10.

SNR cavity Electron density ne, cav, SNR 𝒢 An, cav, SNR = − ne, bkg(R3, Z3), σn, cav, SNR = Rsh, SNR/3.

SNR PWN Electron density ne, PWN, SNR 𝒢 An, PWN, SNR = ne, bkg(R3, Z3)/1.25,
σn, PWN, SNR = Rsh, SNR/10.
Magnetic field B0, PWN, SNR 𝒢 AB, PWN, SNR = 120 μG, σB, PWN, SNR = Rsh, SNR/25.
Positron fraction pSNR 𝒢 Ap, SNR = (ppeak, SNR − pbkg),
with ppeak, SNR = 104, σp, SNR = Rsh, SNR/25.
Temperature Te, core, SNR 𝒢 AT, core, SNR = (107 + Te, bkg), σT, core, SNR = Rsh, SNR/5.

Notes. For each structure and physical quantity, the table lists the analytical form used and the specific amplitude and scale parameters. Unless otherwise noted, lengths are in kiloparsecs, number densities are in cm−3, magnetic field strengths are in μG, and temperatures are in K. Note that amplitudes A < 0 represent depletion. The central coordinates are (R1, Z1) for H II regions, (R2, Z2) for SWBs, and (R3, Z3) for SNRs.

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