fix rad damping multipole

[rdemaria]

Tracking with thin lattice results in grossly wrong radiation damping in the longitudinal plan. A missing delta dependence found in the equations solve the issue

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[rdemaria]

Emit with thin dipoles does not give the same damping time obtain with thick:

Thick, which agrees with both thick and thin tracking (after the fix):

Damping constants [1/s]                           0.18842350E+03      0.12823783E+03      0.19628990E+03

Thin:

 Damping constants [1/s]                           0.15731706E+03      0.12823781E+03      0.22739629E+03

See also issue #1074 that needs a fix as well.

[HelmutCERN]

Dear Riccardo, good to see your fixes in trrun/emit. MAKETHIN just translates, L -> Lrad … which should do the job for radiation. Please let me know in case further checks or upgrades are needed on the MAKETHIN level. Cheers, Helmut

…

On 10 Feb, 2022, at 8:19, Riccardo De Maria ***@***.***> wrote: Emit with thin dipoles does not give the same damping time obtain with thick: Thick, which agrees with both thick and thin tracking (after the fix): Damping constants [1/s] 0.18842350E+03 0.12823783E+03 0.19628990E+03 Thin: Damping constants [1/s] 0.15731706E+03 0.12823781E+03 0.22739629E+03 See also issue #1074 <#1074> that needs a fix as well. — Reply to this email directly, view it on GitHub <#1079 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AEUCRLS5SVL2DAOGTFL7YELU2NRIRANCNFSM5N7YQWZQ>. Triage notifications on the go with GitHub Mobile for iOS <https://apps.apple.com/app/apple-store/id1477376905?ct=notification-email&mt=8&pt=524675> or Android <https://play.google.com/store/apps/details?id=com.github.android&referrer=utm_campaign%3Dnotification-email%26utm_medium%3Demail%26utm_source%3Dgithub>. You are receiving this because you are subscribed to this thread.

[rdemaria]

I confirm lrad conversion has no issues.