From: Elias Metral
Sent: Monday, August 28, 2006 6:07 AM
To: Oliver Bruning; Frank Zimmermann
Cc: Francesco Ruggiero
Subject: FW: LHC picture transverse impedance

Attachments: a1.eps

For info.
Cheers,
Elias. 

-----Original Message-----
From: Dr. Rainer W. Hasse [mailto:r.hasse@gsi.de]
Sent: Friday, August 25, 2006 11:13 AM
To: Elias Metral
Subject: LHC picture transverse impedance

Hallo, Elias,
We investigated our formulae and programs again and found that the formulae are o.k. but that the numerics has problems with large gamma's.
Evidently the Bessel functions become too large or exactly zero so that the results are wrong. As a consequence, our debated LHC picture is wrong.
Enclosed find a new one BUT only for gamma=100, I cannot go higher.
All other parameters are the same. The dotted line is for d=10cm, the others consecutively for 1cm, 1mm and 0.1mm, blue is exact, grey is thick wall approximation and black is thin wall approximation. You see that the limits are o.k. All the other figures I sent you, in particular the SIS100 one, remain valid. I think that you will obtain the same results Amicalement, Rainer

--
----------------------------------------------------------
 Priv. Doz. Dr. Rainer W. Hasse     tel: +49-6159-71-2410
 GSI Darmstadt                      fax: +49-6159-71-3410
 Planckstr. 1                  voip: +49-1801-777-5554099
 D-64291 Darmstadt/Germany         email:  r.hasse@gsi.de
 Web:            www.gsi.de/~hasse or www.rainer-hasse.de
----------------------------------------------------------