π+π− elastic cross section from Chew-Low extrapolations of π− p → π+π−n reaction at 2.77 GeV/c

Baton, J.P.; Laurens, G.; Reignier, Jean

doi:10.1016/0370-2693(70)90235-2

Cited by 76 publications

(8 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Below 1 GeV, the dominant isospin 1 contribution to strong interactions is the ρ 0 . This was the conclusion previously reached when analysing ππ data [38][39][40]. Moreover, it has been shown [43] recently in τ decay to pion pairs, that the influence of possible higher mass vector isovector mesons (ρ(1450) and ρ(1700)) is negligible below ≃ 1 GeV.…”

Section: Comparison With ππ Phase Shift Analysissupporting

confidence: 75%

“…It has been known for some time that the I = l = 1 ππ amplitude is consistent with being purely elastic from threshold up to ≃ 1 GeV [38][39][40]. Therefore, in this region, we can write 5…”

Section: Elastic Unitaritymentioning

confidence: 84%

“…(20) with a resonance propagator, namely the ρ 0 meson (see Eq. (21)), would be motivated in the present case 8 by the fact that the amplitude is dominated by a single resonance (the ρ 0 meson itself) [38][39][40]. This does not mean that higher mass resonances, which surely exist [3,43], have a (strictly) zero contribution in our mass range, but simply that their magnitude is negligible compared 6 This parameter was taken as fixed in Refs.…”

Section: Elastic Unitaritymentioning

confidence: 97%

See 2 more Smart Citations

New results in $\rho^0$ meson physics

Benayoun¹,

Eidelman²,

Maltman³

et al. 1998

Eur. Phys. J. C

View full text Add to dashboard Cite

We compare the predictions of a range of existing models based on the Vector Meson Dominance hypothesis with data on e + e − → π + π − and e + e − → µ + µ − 1 Permanent address. 2 Present address.cross-sections and the phase and near-threshold behavior of the timelike pion form factor, with the aim of determining which (if any) of these models is capable of providing an accurate representation of the full range of experimental data. We find that, of the models considered, only that proposed by Bando et al. is able to consistently account for all information, provided one allows its parameter a to vary from the usual value of 2 to 2.4. Our fit with this model gives a point-like coupling γπ + π − of magnitude −e/6, while the common formulation of VMD excludes such a term. The resulting values for the ρ mass and π + π − and e + e − partial widths as well as the branching ratio for the decay ω → π + π − obtained within the context of this model are consistent with previous results.

show abstract

Section: Comparison With ππ Phase Shift Analysissupporting

confidence: 75%

Section: Elastic Unitaritymentioning

confidence: 84%

Section: Elastic Unitaritymentioning

confidence: 97%

See 1 more Smart Citation

New results in $\rho^0$ meson physics

Benayoun¹,

Eidelman²,

Maltman³

et al. 1998

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…In this section, we will assume a constant value of the vertex, |V ρππ | = 2.4. shifts of π + π − scattering in the vector-isovector channel [28], instead of the π + π − total elastic cross section (e.g., given in Ref. [29]), has been used here in order to single out the dominant ρ-meson exchange contribution to σ(π…”

Section: A Parametersmentioning

confidence: 99%

ππ scattering in the ϱ-meson channel at finite temperature

Hüfner

Klevansky

et al. 1998

Nuclear Physics A

View full text Add to dashboard Cite

We study ππ scattering in the I = 1, J P = 1 − channel at finite temperature in the framework of the extended Nambu-Jona-Lasinio model that explicitly includes vector and axial-vector degrees of freedom in addition to the usual scalar and pseudoscalar sector. The S-matrix in the coupled channels qq and ππ is constructed via ρ-exchange in the s-channel. The self-energy of the ρ-meson contains both quark and pion loop contributions. The analytic structure of the S-matrix for T ≥ 0 is investigated and the motion of the ρ-pole as a function of coupling constant and temperature is followed in the complex √ s-plane. For numerical calculations, parameters are chosen in order that m π , f π and the experimental ππ phase shifts δ 1 1 at zero temperature are reproduced, and then the behavior of the ρ-pole as well as the ππ cross section is investigated as a function of the temperature.We find that the position of the ρ mass stays practically constant for 0 ≤ T ≤ 130 MeV, and then moves down in energy by about 200 MeV for 130 MeV≤ T ≤ 230 MeV. 12.39.Ba, 21.65.+f, 24.85.+p

show abstract

“…In this section we present a fit to scattering data from [20] (Kπ), [21,22] (ππ, I = 2) and [23]. The work [23] is a collection of ππ scattering data from [21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38] and Kπ scattering data from [39,40]. Having replaced the quark masses and f by the meson masses and F π as described above, the only free parameters left are the regularization scale µ in G and the coupling constants of the effective Lagrangian.…”

Section: Results and Comparisonmentioning

confidence: 99%

s-wave meson-meson scattering from unitarizedU(3)chiral Lagrangians

Beisert

Borasoy

2003

Phys. Rev. D

View full text Add to dashboard Cite

An investigation of the s-wave channels in meson-meson scattering is performed within a U (3) chiral unitary approach. Our calculations are based on a chiral effective Lagrangian which includes the η ′ as an explicit degree of freedom and incorporates important features of the underlying QCD Lagrangian such as the axial U (1) anomaly. We employ a coupled channel Bethe-Salpeter equation to generate poles from composed states of two pseudoscalar mesons. Our results are compared with experimental phase shifts up to 1.5 GeV and effects of the η ′ within this scheme are discussed.

show abstract

π+π− elastic cross section from Chew-Low extrapolations of π− p → π+π−n reaction at 2.77 GeV/c

Cited by 76 publications

References 7 publications

New results in $\rho^0$ meson physics

New results in $\rho^0$ meson physics

ππ scattering in the ϱ-meson channel at finite temperature

s-wave meson-meson scattering from unitarizedU(3)chiral Lagrangians

Contact Info

Product

Resources

About