Results of Lambda Reconstruction in Selex

 1.1 The ability to reconstruct lambda decays and the efficiency
     estimation were tested with Selex Embed program, currently used
     as Selex Monte Carlo program (see Embed in Selex at Work). 
     For the decay in in vertex spectrometer I generated flat decay
     length distribution in the range 0.5 to 20 cm in order  
     to obtain the efficiency versus lambda momentum as shown
     in  fig.1 .
     For the decay in M1 spectrometer I used fixed momentum of 90 GeV/c
     to obtain the efficiency versus decay coordinate Z  fig.2 . 

     Both distributions were calculated using standard tracking program
     'all.tseg' and  default V0 setup. One should consider the outcome of
     the Embed analysis as very rough estimation because the accurate
     parameters depend on particular physics you intend to investigate.

     Nevertheless, you might hope to have the V0 efficiency not less than
     60% in vertex and not less then 25% in M1 spectrometer. 


 2.0 Lambda reconstruction in real life was done for 1M sample (filtered
     interactions, charm_run_10783, 1M of the events). The decays can be
     classify using properties of proton and pion tracks:
   - track origin in Vertex (vx) or M1 (m1) spectrometer;
   - measured pion momentum (2p) or unmeasured one (1p);
     The proton momentum supposes to be measured always.  
     Two modes of reconstructions were examined: default V0 mode and soft
     cut mode (set on v0 soft). See V0 description for more details.
     
 2.1 The mass distributions for lambda and anti-lambda selected in soft
     cut mode in Vertex spectrometer are shown in   fig.3a  and in   fig.3b 
     respectively.

                   one million filtered interactions
                   ---------------------------------
              number of events        mass mean value   GeV/cc      rms
      lambda      2798 +- 55           1.116 +- 0.0003             0.0014
    anti-lambda    167 +- 14           1.116 +- 0.0009             0.0012

     The whole set of histograms is presented in   fig.4 . 
     I see two interesting features of lambdas in Vertex.

     First, the miss distance of the proton with primary vertex is
     small (<200 mkm), so lambda itself (proton) could be responsible
     for a charm hit in the filter. 

     Second, the number of lambdas with unmeasured pion momentum is very
     low (<5%). We do not have tracking tools to catch not primary tracks
     without guidance from m2 or m1 spectrometer.
     We could do this for example, using Peter's space points algorithm.


 2.1 The mass distributions for lambdas selected in M1 spectrometer with
     2 measured momenta with default V0 setup and soft cut setup are
     given in    fig.5  and in    fig.6   respectively.
     Both distributions were fitted with 3 Gaussian curves and simple
     threshold function. We need several Gaussian because of the nature
     of M1 spectrometer: Silicon, proportional chambers, drift chambers
     with different space resolution (50 mkm - 3 mm).
     
          lambda yield (2p) from one million filtered interactions
          --------------------------------------------------------

  default cut   events total: 19636

                number of events      mass mean value   GeV/cc      rms
  Gaussian 1    8636 +- 344            1.115 +- 0.08e-3            0.0072
  Gaussian 2    1385 +- 183            1.115 +- 0.08e-3            0.0018
  Gaussian 3    6577 +- 1137           1.115 +- 0.08e-3            0.1209

  soft cut      events total: 10952

                number of events      mass mean value   GeV/cc      rms
  Gaussian 1    6891 +-  304           1.115 +- 0.07e-3            0.0076
  Gaussian 2     776 +-  134           1.115 +- 0.07e-3            0.0021
  Gaussian 3    4239 +- 1164           1.115 +- 0.07e-3            0.1197


     First look, we see about 10000 lambda decays in M1 spectrometer when
     the momenta of proton and pion were measured (7650 in soft setup).
     The Gaussian 3 seems to be a background because of huge rms, but
     this must be checked.
     In addition we have about 5000 lambda candidates when pion momentum
     was not measured (see complete histogram set for soft cut in  fig.7 ).
     The decay range in Vertex is about 10 cm, where we found about 3000
     lambdas. The decay range in M1 spectrometer is about 600 cm and the
     efficiency is 3 times less (say, 4 due to exponent in decay length).
     We lost some more events with 2 unmeasured momenta in m1 than in vx
     because M1 and M2 magnets are different.
     
     All together, we could expect roughly about 45000 decays,
     and we have 3 times less. 
     If we say that a half of charm filter decisions were done
     due to protons from lambda decay in vertex, then we have
     the agreement in numbers (for filter rate 1:7). This hypothesis 
     can be checked in the analysis of not filtered interactions.

     Finally, for filtered interaction we have

                    3000 lambdas in Vertex
                   10000 lambdas in M1 with 2p
                    5000 lambdas in M1 with 1p

            total  18000 lambdas per 1 Million interactions.            


vmatveev@fnal.gov