Relativistic unitary description of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>scattering

Pichowsky, M. A.; Szczepaniak, A.P.; Londergan, J. T.

doi:10.1103/physrevd.64.036009

Cited by 9 publications

(7 citation statements)

References 26 publications

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“…The coefficient a is chosen to reproduce the scattering length, which is small due to constraints from chiral symmetry [34,39]. The remainder of the denominator is chosen to provide crude agreement with measured phase shifts up to invariant masses of 1 GeV.…”

Section: Interdomain Correlationsmentioning

confidence: 99%

Statistical and dynamic models of charge balance functions

et al. 2004

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Charge balance functions, which identify balancing particle-antiparticle pairs on a statistical basis, have been shown to be sensitive to whether hadronization is delayed by several fm/c in relativistic heavy ion collisions. Results from two classes of models are presented here, microscopic hadronic models and thermal models. The microscopic models give results which are contrary to recently published π + π − balance functions from the STAR collaboration, whereas the thermal model roughly reproduce the experimental results. This suggests that charge conservation is local at breakup, which is in line with expectations for a delayed hadronization. Predictions are also presented for balance functions binned as a function of Qinv.

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Section: Interdomain Correlationsmentioning

confidence: 99%

Statistical and dynamic models of charge balance functions

et al. 2004

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“…The I=0 channel is particularly important as it corresponds to the mythical meson. Although phase shift analyses do not reveal a sharp peak as in a resonance [30][31][32][33][34], the phase shifts are considerable, rising steadily from zero at threshold to Ϸ90°at M =2M K ϳ1 GeV, where the kaon channel opens. At the two-kaon threshold, the behavior of the phase shifts becomes complicated and an inelastic treatment becomes warranted.…”

Section: ͑10͒mentioning

confidence: 99%

Thermal production of theρmeson in theπ+π−channel

Pratt

Bauer

2003

Phys. Rev. C

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Recent measurements of the + − invariant-mass distribution at RHIC show a shifted peak for the meson in 100A GeV in peripheral Au+Au and even in p+p collisions. A recent theoretical study based on a picture of in-medium production rates of pions showed that a large shift could result from a combination of the Boltzmann factor and the collisional broadening of the . Here we argue that the two-pion density of states is the appropriate quantity if one assumes a sudden breakup of the system. Methods for calculating the density of states which include Bose effects are derived. The resulting invariant-mass distributions are significantly enhanced at lower masses and the peak is shifted downward by ϳ35 MeV.

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“…Accordingly, π-π scattering has attracted considerable interest even though the cross section is not directly measurable. In particular, a variety of theories have been utilized to make scattering predictions: at low energies, current algebra/PCAC [1], chiral perturbation theory [2,3,4,5] and bosonization models with pion fields [6]; Quantum Hadrodynamic [QHD] meson exchange models and unitarized relativistic coupled channels [7] for intermediate energies; Regge theory at moderately higher energies; perturbative QCD at very high energies. These in turn have been confronted by experimental phase shift analyses [8,9,10,11] yielding reasonable agreement.…”

Section: Introductionmentioning

confidence: 99%

QCD based quark description ofπ−πscattering up to theσandρregions

Cotanch¹,

Maris²

2002

Phys. Rev. D

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We study forward and backward π-π scattering within a QCD model based on the DysonSchwinger, Bethe-Salpeter equations truncated to the rainbow-ladder level. Our microscopic relativistic quark formulation preserves chiral symmetry and reproduces the observed scattering lengths for total isospin zero, one and two. At higher energies both scalar and vector meson resonances naturally occur in the scattering amplitudes. We also report a comparative study with phenomenological meson-exchange models and find such approaches are reasonable especially near π-π resonances.

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Relativistic unitary description ofππscattering

Cited by 9 publications

References 26 publications

Statistical and dynamic models of charge balance functions

Statistical and dynamic models of charge balance functions

Thermal production of theρmeson in theπ+π−channel

QCD based quark description ofπ−πscattering up to theσandρregions

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