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Finite-size effects

Finite-size effects. characteristic scale |a| = 388 fm (Bohr radius of pp system) average value of r*~ 10 fm range of  ~ 30 fm range of  ' ~ 900 fm critical region of r* ~ |a| is formed by  and  ' pairs. UrQMD simulation pNi 24 GeV: ~15%  pairs  < 1%  ' pairs

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Finite-size effects

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  1. Finite-size effects • characteristic scale |a| = 388 fm (Bohr radius of pp system) • average value of r*~ 10 fm • range of  ~ 30 fm • range of ' ~ 900 fm • critical region of r* ~ |a| is formed by  and ' pairs UrQMD simulation pNi 24 GeV: • ~15%  pairs • < 1% ' pairs  shift in Pbr mainly due to pairs   '

  2. Finite-size effects Simulation compared with DIRAC p-p-CF • simulation Nw = 19.2% (for p-p- pairs) • fit result Nw = 21±7% Þ good description of  pairs by UrQMD Finite-size effect induces shift in Pbr • according UrQMD simulation Nw = 15% ÞdPbr ~ 2% Þdt ~ 5% • upper limit at 1 sigma of p-p- fit Nw = 20% ÞdPbr ~ 3% Þdt ~ 7.5% Þ Systematic uncertainty in t measurement from finite-size effect < 10% i.e. less then present DIRAC statistical error in t. Expected shift with multi-layer target in future DIRAC 5 times less

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