Subject: numbers From: Yoshinari.Hayato@kek.jp Message-Id: <20001206025449I.hayato@neutrino.kek.jp> Date: Wed, 06 Dec 2000 02:54:49 +0900 Dear all, I've received the summary from you and now making the summary. And now I have some questions about the numbers. 1) How did you calculate the expected number of interactions? In the summary, there are the numbers 1.3789E-16 (for Nov.99-) and 1.3350E-16 (for June 99). How did you calcluate these numbers? (I used the following formula to obtain the expected number of events: (rho(r<1.5m)*(1.5*1.5*pi)-rho(r<1.0m)*(1.0*1.0*pi)) rho(1m<r<1.5m) = -----------------------------------------------------, (1.5*1.5*pi - 1.0*1.0*pi) (rho(r<1.0m)*pi + rho(1m<r<1.5m)*(2.2*2.2-pi) rho(|x|&|y|<1.1m) = ---------------------------------------------, 2.2*2.2 where rho is the interaction rates. Obtained values of my calculations are 1.382596E-16 (for Nov.99-) and 1.338272E-16 (for June 99). 2) How did you obtain the expected numbers of interactions you have shown in the tables, which were 2829.38 (for Nov.99-) and 314.16 (for June 99). I tried to obtain these values by the following formula but the results did not agree. expected # of events = POT * (interaction rate) * mass * efficiencies 3) How can I obtain the numbers of events for June 99 M.C. In the detailed tables, generated # of events is 66499 and the remaining number of events is 8393 but in the summary table, the values are 64243.51 generated and 7717.23 remaining. 4) How did you include the effect of drained tubes? Did you remove the events which occured in the drained tubes? Could you tell me the actual fiducial masses? In the tables, when you apply the correction at the last, number of event changes from 8716 to 8393 for June 99 (96.2%) and from 25802 to 24241 for Nov.99- (94.0%). However, if you consider this effect at first, the changes are from 48415 to 46949 for June 99 (97.0%) and from 118073 to 111848 for Nov.99- (94.7%). Thanks for your cooperations, Yoshinari Hayato ============================================================================= SciFi ------------------------------------------------------------ Target : H2O Flux : June '99 : cho_cern_200jun50mzz_le5_fd.dat : Nov. '99- : cho_cern_250nov50mzz_le5_fd.dat IPAR| Energy | # of intr. (/g/10^20 pot) , |x|&|y|<=110 | | June '99 | Nov. '99- ----+--------+---------------+---------------+ 14 | 0.500 | 0.1902335E-03 | 0.1559508E-03 | 14 | 1.000 | 0.2498685E-02 | 0.2230282E-02 | 14 | 1.500 | 0.4995492E-02 | 0.4915815E-02 | 14 | 2.000 | 0.3533604E-02 | 0.4004386E-02 | 14 | 2.500 | 0.1396006E-02 | 0.1728567E-02 | 14 | 5.000 | 0.7687051E-03 | 0.7909563E-03 | ----+--------+---------------+---------------+ 14 | Total | 0.1338272E-01 | 0.1382596E-01 | ----+--------+---------------+---------------+ --+--------------------+--------------+--------------+ | | June '99 | Nov. '99- | --+--------------------+--------------+--------------+ |Total Volume(ideal) | 8642 kg | 8642 kg | <- ideal total mass --+--------------------+--------------+--------------+ |Fiducial Volume | 6203 kg | 6203 kg | | (ideal) | | | --+--------------------+--------------+--------------+ *1|Fiducial Volume | ???? kg | ???? kg | | (actual)| | | --+--------------------+--------------+--------------+ A |Generated # of evnts| 66499 | 161866 | <- In total volume(8.6t) --+--------------------+--------------+--------------+ B |Identified (Fid.Vol)| 8716 | 25802 | <- Generated in all vol. --+--------------------+--------------+--------------+ |Efficiency-1 (B/A) | 13.1 % | 15.9 % | --+--------------------+--------------+--------------+ C |Identified (Fid.Vol)| 8393 | 24241 | <- Drained tube effect --+--------------------+--------------+--------------+ |Efficiency-2 (C/A) | 12.6 % | 15.0 % | --+--------------------+--------------+--------------+ --+--------------------+--------------+--------------+ D |Generated in Fid.Vol| 48415 | 118073 | <- In Fid. volume(*1) | | | | (drained tube corrected) --+--------------------+--------------+--------------+ E |Identified (Fid.Vol)| 8393 | 23550 | <- Generated in Fid.vol. --+--------------------+--------------+--------------+ |Efficiency-2 (E/D) | 16.9 % | 19.9 % | --+--------------------+--------------+--------------+ |# of good spills(SF)| 463891 | 2978215 | --+--------------------+--------------+--------------+ |POT | 2.272E+18 | 1.588E+19 | --+--------------------+--------------+--------------+ |expected # of events| 314.16 | 2829.38 | --+--------------------+--------------+--------------+
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