Table 1.

Samples of numerical solutions for the gap equation and the stationary condition for |$\varphi $|⁠. The ratio |$|F_*/D_*|$| and |$|f_{3*}|$| are also evaluated for a consistency check.

|$c'+\dfrac {1}{64\pi ^2}$||$\left .\tilde {A}\right /\big (4\cdot 32\pi ^2\big )$||$\Delta _{0*}$||$\varphi _*\Big /M \left (-\dfrac {N^2}{{\rm Im}(i+\Lambda )}\right )$||$\big |F_*/D_*\big |$||$\big |f_{3*}\big |$|
0.0020.00010.4770.707 (10 000)2.621 (⁠|$m=M$|⁠)1.77
0.0020.00010.4770.707 (10 000)0.524 (⁠|$m \ll M$|⁠)0.35
0.0020.00010.4770.707 (10 000)0.860 (⁠|$m=0.4M$|⁠)0.58
0.0030.0011.36230.8639 (2000)0.825 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.8639 (2000)0.224 (⁠|$m \ll M$|⁠)0.43
0.0030.0011.36230.5464 (5000)1.092 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.5464 (5000)0.142 (⁠|$m \ll M$|⁠)0.27
0.0030.0011.36230.5464 (5000)0.911 (⁠|$m=0.9M$|⁠)1.76
0.0030.0011.36230.3863 (10 000)1.444 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.3863 (10 000)0.100 (⁠|$m \ll M$|⁠)0.19
0.0030.0011.36230.3863 (10 000)0.960 (⁠|$m=0.8M$|⁠)1.85
|$c'+\dfrac {1}{64\pi ^2}$||$\left .\tilde {A}\right /\big (4\cdot 32\pi ^2\big )$||$\Delta _{0*}$||$\varphi _*\Big /M \left (-\dfrac {N^2}{{\rm Im}(i+\Lambda )}\right )$||$\big |F_*/D_*\big |$||$\big |f_{3*}\big |$|
0.0020.00010.4770.707 (10 000)2.621 (⁠|$m=M$|⁠)1.77
0.0020.00010.4770.707 (10 000)0.524 (⁠|$m \ll M$|⁠)0.35
0.0020.00010.4770.707 (10 000)0.860 (⁠|$m=0.4M$|⁠)0.58
0.0030.0011.36230.8639 (2000)0.825 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.8639 (2000)0.224 (⁠|$m \ll M$|⁠)0.43
0.0030.0011.36230.5464 (5000)1.092 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.5464 (5000)0.142 (⁠|$m \ll M$|⁠)0.27
0.0030.0011.36230.5464 (5000)0.911 (⁠|$m=0.9M$|⁠)1.76
0.0030.0011.36230.3863 (10 000)1.444 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.3863 (10 000)0.100 (⁠|$m \ll M$|⁠)0.19
0.0030.0011.36230.3863 (10 000)0.960 (⁠|$m=0.8M$|⁠)1.85
Table 1.

Samples of numerical solutions for the gap equation and the stationary condition for |$\varphi $|⁠. The ratio |$|F_*/D_*|$| and |$|f_{3*}|$| are also evaluated for a consistency check.

|$c'+\dfrac {1}{64\pi ^2}$||$\left .\tilde {A}\right /\big (4\cdot 32\pi ^2\big )$||$\Delta _{0*}$||$\varphi _*\Big /M \left (-\dfrac {N^2}{{\rm Im}(i+\Lambda )}\right )$||$\big |F_*/D_*\big |$||$\big |f_{3*}\big |$|
0.0020.00010.4770.707 (10 000)2.621 (⁠|$m=M$|⁠)1.77
0.0020.00010.4770.707 (10 000)0.524 (⁠|$m \ll M$|⁠)0.35
0.0020.00010.4770.707 (10 000)0.860 (⁠|$m=0.4M$|⁠)0.58
0.0030.0011.36230.8639 (2000)0.825 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.8639 (2000)0.224 (⁠|$m \ll M$|⁠)0.43
0.0030.0011.36230.5464 (5000)1.092 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.5464 (5000)0.142 (⁠|$m \ll M$|⁠)0.27
0.0030.0011.36230.5464 (5000)0.911 (⁠|$m=0.9M$|⁠)1.76
0.0030.0011.36230.3863 (10 000)1.444 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.3863 (10 000)0.100 (⁠|$m \ll M$|⁠)0.19
0.0030.0011.36230.3863 (10 000)0.960 (⁠|$m=0.8M$|⁠)1.85
|$c'+\dfrac {1}{64\pi ^2}$||$\left .\tilde {A}\right /\big (4\cdot 32\pi ^2\big )$||$\Delta _{0*}$||$\varphi _*\Big /M \left (-\dfrac {N^2}{{\rm Im}(i+\Lambda )}\right )$||$\big |F_*/D_*\big |$||$\big |f_{3*}\big |$|
0.0020.00010.4770.707 (10 000)2.621 (⁠|$m=M$|⁠)1.77
0.0020.00010.4770.707 (10 000)0.524 (⁠|$m \ll M$|⁠)0.35
0.0020.00010.4770.707 (10 000)0.860 (⁠|$m=0.4M$|⁠)0.58
0.0030.0011.36230.8639 (2000)0.825 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.8639 (2000)0.224 (⁠|$m \ll M$|⁠)0.43
0.0030.0011.36230.5464 (5000)1.092 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.5464 (5000)0.142 (⁠|$m \ll M$|⁠)0.27
0.0030.0011.36230.5464 (5000)0.911 (⁠|$m=0.9M$|⁠)1.76
0.0030.0011.36230.3863 (10 000)1.444 (⁠|$m=M$|⁠)|$>$|1
0.0030.0011.36230.3863 (10 000)0.100 (⁠|$m \ll M$|⁠)0.19
0.0030.0011.36230.3863 (10 000)0.960 (⁠|$m=0.8M$|⁠)1.85
Close
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Close