Abstract:

Followings are the summary of PRC length, SRC length, and Schnupp asymmetry calculated from the PRX/PRY/SRX/SRY length measurements reported in klog37209 and klog37223.

$L_\mathrm{PRC}=66.5984(28)$ m

$L_\mathrm{SRC}=66.6120(47)$ m

$L_\mathrm{Schnupp}=3.3405(48)$ m

Detail:

According to  klog37209 and klog37223, the cavity length of PRX/PRY and SRX/SRY can be summarized as follows:

Based on these results, we can calculate the PRC/SRC length (average length of PRX/SRX and PRY/SRY) and Schnupp asymmetry.

PRC length:

PRC length can be obtained by averaging PRX and PRY length, so the PRC length can be calculated as follows:

$L_\mathrm{PRC}=\frac{L_\mathrm{PRX}+L_\mathrm{PRY}}{2} = \frac{68.2688+64.9280}{2}\pm\frac{\sqrt{0.0046^2+0.0033^2}}{2}=66.5984(28)$

SRC length:

SRC length can be calculated as the similar way of PRC.

$L_\mathrm{SRC}=\frac{L_\mathrm{SRX}+L_\mathrm{SRY}}{2} = \frac{68.2818+64.9422}{2}\pm\frac{\sqrt{0.0045^2+0.0082^2}}{2}=66.6120(47)$

Schnupp asymmetry:

Schnupp asymmetry can be calculated by subtracting PRY/SRY length from PRX/SRX length as follows.

$L_\mathrm{Schnupp from PR}=L_\mathrm{PRX}-L_\mathrm{PRY} = (68.2688-64.9280)\pm\sqrt{0.0046^2+0.0033^2}=3.34080(566)$
$L_\mathrm{Schnupp from SR}=L_\mathrm{SRX}-L_\mathrm{SRY} = (68.2818-64.9422)\pm\sqrt{0.0045^2+0.0082^2}=3.33960(935)$

Above 2 values are independent results, so we can calculate the weighted average of these values. So, the Schnupp asymmetry can be calculated as follows:

$L_\mathrm{Schnupp}=\frac{3.3408/0.00566^2+3.3396/0.00935^2}{1/0.00566^2+1/0.00935^2}\pm\frac{1}{\sqrt{1/0.00566^2+1/0.00935^2}}=3.3405(48)$