904 research outputs found

    Extracting pΛp\Lambda scattering lengths from heavy ion collisions

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    The pΛpˉΛˉp-\Lambda \oplus \bar{p}-\bar{\Lambda} and pˉΛpΛˉ\bar{p}-\Lambda \oplus p-\bar{\Lambda} correlation functions for 10% most central Au+Au collisions at top RHIC energy sNN=200\sqrt{s_{NN}}=200 GeV are modeled with Lednicky and Lyuboshitz analytical formula using the source radii extracted from the hydrokinetic model (HKM) simulations. For the baryon-antibaryon case the corresponding spin-averaged strong interaction scattering length is obtained by fitting the STAR correlation function. In contrast to the experimental results, where extracted pΛˉp\bar{\Lambda} source radius value was found 2\sim 2 times smaller than the corresponding pΛp\Lambda one, the calculations in HKM show both pΛp\Lambda and pΛˉp\bar{\Lambda} effective source radii to be quite close, as expected from theoretical considerations. To obtain the satisfactory fit to the measured baryon-antibaryon correlation function at this large source radius value, the modified analytical approximation to the correlation function, effectively accounting for the residual correlations, is utilized.The source radii previously extracted by the STAR Collaboration from the p−Λ⊕p¯−Λ¯ and p¯−Λ⊕p−Λ¯ correlation functions measured in 10% most central Au+Au collisions at top Relativistic Heavy Ion Collider (RHIC) energy, sNN=200 GeV, differ by a factor of 2. The probable reason for this is the neglect of residual correlation effect in the STAR analysis. In the present paper we analyze baryon correlation functions within the Lednický and Lyuboshitz analytical model, extended to effectively account for the residual correlation contribution. Different analytical approximations for such a contribution are considered. We also use the averaged source radii extracted from hydrokinetic model (HKM) simulations to fit the experimental data. In contrast to the STAR experimental study, the calculations in HKM show both pΛ and pΛ¯ radii to be quite close, as expected from theoretical considerations. Using the effective Gaussian parametrization of residual correlations we obtain a satisfactory fit to the measured baryon-antibaryon correlation function with the HKM source radius value 3.28 fm. The baryon-antibaryon spin-averaged strong interaction scattering length is also extracted from the fit to the experimental correlation function.The source radii, previously extracted by STAR Collaboration from the pΛpˉΛˉp-\Lambda \oplus \bar{p}-\bar{\Lambda} and pˉΛpΛˉ\bar{p}-\Lambda \oplus p-\bar{\Lambda} correlation functions measured in 10% most central Au+Au collisions at top RHIC energy sNN=200\sqrt{s_{NN}}=200 GeV, differ by a factor of 2. The probable reason for this is the neglect of residual correlation effect in the STAR analysis. In the present paper we analyze baryon correlation functions within Lednicky and Lyuboshitz analytical model, extended to effectively account for the residual correlation contribution. Different analytical approximations for such a contribution are considered. We also use the averaged source radii extracted from the hydrokinetic model (HKM) simulations to fit the experimental data. In contrast to the STAR experimental study, the calculations in HKM show both pΛp\Lambda and pΛˉp\bar{\Lambda} radii to be quite close, as expected from theoretical considerations. Using the effective Gaussian parametrization of residual correlations we obtain a satisfactory fit to the measured baryon-antibaryon correlation function with the HKM source radius value 3.28 fm. The baryon-antibaryon spin-averaged strong interaction scattering length is also extracted from the fit to the experimental correlation function

    FEMTOSCOPIC CORRELATIONS IN HEAVY ION COLLISIONS

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    PROGRESS IN CORRELATION FEMTOSCOPY

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    Finite-size effects on two-particle production in continuous and discrete spectrum

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    The effect of a finite space-time extent of particle production region on the lifetime measurement of hadronic atoms produced by a high energy beam in a thin target is discussed. Particularly, it is found that the neglect of this effect on the pionium lifetime measurement in the experiment DIRAC at CERN could lead to the lifetime overestimation on the level of the expected 10% statistical error. It is argued that the data on correlations of identical particles obtained in the same experimental conditions, together with transport code simulation, allow to diminish the systematic error in the extracted lifetime to an acceptable level. The theoretical systematic errors arising in the calculation of the finite-size effect due to the neglect of non-equal emission times in the pair c.m.s., the space-time coherence and the residual charge are shown to be negligible
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