David J. Jeffery Department of Physics New Mexico Tech 801 Leroy Place Socorro, New Mexico 87801-4796 U.S.A. Office Tel: 505-835-5610 Email: jeffery@kestrel.nmt.edu Office: Rm 349, Bldg. Workman Center Homepage: http://www.physics.nmt.edu/jeffery/jefferyfrontpage Departmental Tel: 505-835-5328 Departmental FAX: 505-835-5707 Departmental Email: physics@kestrel.nmt.edu Departmental Homepage: http://www.physics.nmt.edu/ 2002 August 12 Dear Koji, Ken, & Paolo: In my view, I don't think we need to worry about of Berger et al. I don't pretend to understand the much about radio astronomy or modeling, but it seems to me to be poor paper based on the way they argue for their very broad conclusions. A key point that strikes me right now is that they ``wonder how secure'' (i.e., their phrase meaning they ``think wrong'') Mazzali et al.'s conclusions about total mass and kinetic energy. Their argument is because (as far as I can tell) someone else's model (Matzner & Mckee 1999) puts more kinetic energy at v>=.3c than they can allow for that Mazzali et al.'s conclusions are wrong. Mazzali et al. cut ejecta off at about .2c. As I understand their Figure 2b their favored model will through the epoch they observe has a shock radius which is order where Mazzali et al.'s outer radius would be. A little give between both papers and there is no conflict at all. Mazzali et al. never claim anything for v>=.2, and so Berger et al. criticism is spurious. In regard to our jet. As long as it is below than their shock radius, I don't see why it should bother Berger et al. at all. I did ask Edo Berger about whether this should be so, but in fact he managed not to answer this question. I also asked Berger if it made any difference that fast ejecta was clump in a jet or spread in a shell. He seemed to agree that it would be difficult to detect a jet although his answer was a bit ambiguous (or maybe it was my question.) Berger did say that they could be able to detect, asymmetry in the circumstellar medium, but not in the ejecta. I simply have my doubts about CSM. Berger pointed out Weiler et al. (2001, ApJ, 562, 670) showing that asymmetries can be picked out. Well Weiler et al. required clumpy structure: nothing about about large scale structure asymmetry was discussed. If radio can pick out large scale asymmetries in CSM or SN ejecta, I've never heard of it: of course, I've not paid much attention to radio work. Another point they seem to miss. They think invoking asymmetry in the ejecta can bring about agreement. That seems unlikely to me. If for example one needs 1/100 solar masses beyond .3c (not that Mazzali et al. do) in spherical symmetry and that means KE(v>=.3c)=2*10**50 ergs. This is much larger than Berger et al. can allow for: they can tolerate of order 10**45 ergs only. Saying one is looking down elongated axis and that accounts for the broad lines will reduce the amount of fast mass appreciably but not by 5 orders of magnitude. Maybe by a factor of 10, but I'd guess less than that. In any case, this point is moot, since no one has asked for any ejecta at speeds greater of order .2c. I can well believe that radio modeling could detect a spherical shell of relativistic ejecta propagating in a spherical CSM. Their claim that geometry doesn't matter is simply unvalidated in their paper and they reference nothing else. Their criticism of Mazzali et al. and Kawabata et al. is without any merit that I can see. Regards David