Abstract:The possibilities of unlike particle correlations for a study of the space-time asymmetries in particle production, including the sequence of particle emission, are demonstrated.
“…Then the result looks like the one for fully coherent radiation (13), which takes place for very close emitters [16]. So, in both limiting cases of chaotic and fully coherent emission Eq.…”
Section: Uncertainty Principle and Formalism Of Partially Coherentsupporting
The basic principles of the correlation femtoscopy, including its correspondence to the Hanbury Brown and Twiss intensity interferometry, are re-examined. The main subject of the paper is an analysis of the correlation femtoscopy when the source size is as small as the order of the
“…Then the result looks like the one for fully coherent radiation (13), which takes place for very close emitters [16]. So, in both limiting cases of chaotic and fully coherent emission Eq.…”
Section: Uncertainty Principle and Formalism Of Partially Coherentsupporting
The basic principles of the correlation femtoscopy, including its correspondence to the Hanbury Brown and Twiss intensity interferometry, are re-examined. The main subject of the paper is an analysis of the correlation femtoscopy when the source size is as small as the order of the
“…( 1). In addition, the ascription of the factor 1 + cos(x 1 − x 2 )(p 1 − p 2 ) to the weight of the pion pair in (1) is not correct for very closely located points x 1 and x 2 because there is no Bose-Einstein enhancement if the two identical bosons are emitted from the same point [12,30]. The effect is small for large systems with large number of independent emitters.…”
Section: The Quantum Corrections To the Hydrokinetic Resultsmentioning
A method for quantum corrections of Hanbury-Brown/Twiss (HBT) interferometric radii produced by semi-classical event generators is proposed. These corrections account for the basic indistinguishability and mutual coherence of closely located emitters caused by the uncertainty principle. A detailed analysis is presented for pion interferometry in p + p collisions at LHC energy ( √ s = 7 TeV). A prediction is also presented of pion interferometric radii for p+Pb collisions at √ s = 5.02 TeV. The hydrodynamic/hydrokinetic model with UrQMD cascade as 'afterburner' is utilized for this aim. It is found that quantum corrections to the interferometry radii improve significantly the event generator results which typically overestimate the experimental radii of small systems. A successful description of the interferometry structure of p + p collisions within the corrected hydrodynamic model requires the study of the problem of thermalization mechanism, still a fundamental issue for ultrarelativistic A + A collisions, also for high multiplicity p + p and p+Pb events.
“…In opposite case when (x i − x j ) 2 ≪ 1/∆p 2 the states are indistinguishable and overlapping integral (2.15) G i j ≈ 1 at t 1 ≈ t 2 since at x i = x j it is just normalization. Then we come back to the fully coherent emission (2.9) which takes place for very closed emitters [9]. So, in both limited cases of chaotic and fully coherent emission Eq.…”
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