hyperfine.musr.corrected_asymmetry

hyperfine.musr.corrected_asymmetry(L: float, R: float, l: float = 0.0, r: float = 0.0, alpha: float = 1.0, beta: float = 1.0) → float

Corrected asymmetry between two detectors.

For a pair of detectors (L)eft and (R)ight, calculate their corrected asymmetry:

\[A_{\mathrm{corr.}} = \frac{(\alpha - l) + (\alpha + 1) A_{\mathrm{raw}}}{(\alpha \beta + l) + (\alpha \beta - 1) A_{\mathrm{raw}}}\]

where \(A_{\mathrm{corr.}}\) is the corrected asymmetry, \(\alpha\) is ratio of detector counts, \(\beta\) is the ratio of detector asymmetries, and \(A_{\mathrm{raw}}\) is the raw asymmetry

\[A_{\mathrm{raw}} = \frac{(L - l) - (R - r)}{(L - l) + (R - r)}\]

where \(A_{\mathrm{raw}}\) is the raw asymmetry, \(L\) is the left detector’s total counts, \(l\) is the left detector’s background counts, \(R\) is the right detector’s total counts, and \(r\) is the right detector’s background counts.

See e.g., Noakes et al., Phys. Rev. B 35, 6597 (1987). https://doi.org/10.1103/PhysRevB.35.6597

Parameters:

• L – Left detector total counts.

• R – Right detector total counts.

• l – Left detector background counts.

• r – Right detector background counts.

• alpha – Ratio of detector counts.

• beta – Ratio of detector asymmetries.

Returns:

The corrected asymmetry between two detectors.