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Recently we have found that integral of the squared Coulomb wave functiondescribing systemcomposed of charged pion and central charged fragment$Z_{eff}$ protons, $|\psi_r(r)|^2$, times pion source function $\rho(r)$ (ofthe size $\beta$), $\intdr |\psi_r(r)|^2 \rho(r)$, shows a quasiscalingbehavior. This is approximately invariant under the following transformation:$(\beta,Z_{eff}) \to (\lambda\beta,\lambda Z_{eff})$; $\lambda >0$. We calledsuch behavior $\beta-Z_{eff}$ quasiscaling. We examine this quasiscalingbehavior in detail. In particular we provide a semi-analytical examination ofthis behavior and confirm it for the exponential pionic source functions inaddition to the Gaussian ones and for the production of K mesons as well. Whencombined with the results of the HBT, a result of the yield ratio allows us toestimate the size of the central charged fragment (CCF) to be $125\leZ_{eff}\le 150$ for Pb+Pb collisions at energy 158 GeV/nucleon. From ourestimation, the baryon number density $0.024 \le n_{B}\le0.036$ [1/fm^3] isobtained.Comment: 7 pages, RevTex, 6figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Quasiscaling in the analysis of the yield ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>: Mathematical structure and estimation of source size

Quasiscaling in the analysis of the yield ratioπ−/π+: Mathematical structure and estimation of source size