Message-Id: <200012060433.NAA13668@neutrino.kek.jp> Subject: Re: numbers Date: Wed, 06 Dec 2000 13:33:49 +0900 From: Makoto Sakuda <sakuda@neutrino.kek.jp> > To: sakuda@neutrino.kek.jp > Cc: e362scifi@neutrino.kek.jp > Subject: numbers > From: Yoshinari.Hayato@kek.jp > In-Reply-To: <200012051103.UAA15316@neutrino.kek.jp> > References: <200012051103.UAA15316@neutrino.kek.jp> > > 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 | > --+--------------------+--------------+--------------+ > Dear All, I have answered all the questions directly to Hayato to save time. Regards, M.Sakuda
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