Etude de la diffusion elastique π−πO par la methode d'extrapolation de chew et low a partir de la reaction π−p → π-πOp A 2.77 GeV/c

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

doi:10.1016/0550-3213(67)90084-3

Cited by 65 publications

(7 citation statements)

References 6 publications

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“…5 ' 8 (b) PooAPoo + 2p n ) does not change appreciably as A 2 goes below JU 2 ; it remains roughly constant at about 0.85 neglecting background. If we include the effect of a possible isotropic background, we would estimate PooAPoo + 2p u ) «0.96 ±0.15 for the region A 2 <2/i 2 .…”

Section: Is In Fact About 20% Based On a Study Of B 2 N/ba 2 Bm^\ Homentioning

confidence: 94%

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Small-Δ2Behavior inπ−p→ρ

1968

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Section: Is In Fact About 20% Based On a Study Of B 2 N/ba 2 Bm^\ Homentioning

confidence: 94%

“…8 If h = Q or 3f-g^0, assumption (c) is violated in the 7r""2 + or ir + p systems, respectively. ^his result can also be obtained independently of Regge theory.…”

mentioning

confidence: 99%

Small-Δ2Behavior inπ−p→ρ

1968

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“…The work [2] by Baton, Laurens and Reignier provided the phenomenological test of this property by the high energy (P Lab = 2.77 GeV/c) data -since then it was being built into the applications of the Chew-Low procedure as a standard feature. Nevertheless, the known failures of applications of the Chew-Low approach were associated with the relying on the very property we are discussing here -see the review [50] by Leksin.…”

Section: Discussionmentioning

confidence: 99%

“…The existence of the pole at τ = µ 2 in the OPE contribution is the keystone of the Chew-Low approach. However, there are several routines for the extrapolation to this pointthe relevant discussion on the applications of the approach might be found in the review paper [50] (see also [58] for a phenomenological introduction); the tests of some variants performed long time ago were reported in the paper [2]. The amplitudes provided by our fits present the possibility to test the approach by modeling the experimental data and to arrive at conclusions which are independent of the finite precision of the input.…”

Section: Chew-low Extrapolationmentioning

confidence: 99%

Phenomenological πN→ππN amplitude and analysis of low energy data on total cross sections and 1--D distributions

Bolokhov

Polyakov²,

Sherman³

1998

EPJ A

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We develop the phenomenological amplitude of the πN → ππN reaction describing the exchanges of ∆ and N * along with the OPE mechanism. The contribution of the latter contains 4 independent low energy parameters (up to O(k 4 ) order). The terms of the polynomial background are added to stand for far resonances and for contact terms originating from the off-mass-shell interactions. These terms are introduced with the account of isotopic, crossing, C, P and T symmetries of strong interactions.The data consisting of total cross sections in the energy region 0.300 ≤ P Lab ≤ 500 MeV/c and 1D distributions from the bubble-chamber experiments for three reaction channels were undergoing fittings to determine free parameters of the amplitude. The best solutions are characterized by χ 2 DF = 1.16. At the considered energies the isobar exchanges are found to be more important than OPE. The obtained solutions reveal the need in more precise data and/or in polarization measurements because of large correlations of isobar parameters with the OPE ones.The theoretical solutions were used for modeling the Chew-Low extrapolation and the Olsson-Turner threshold approach. It is shown that the noncritical application of the former results in 100% theoretical errors, the extracted values being in fact the random numbers. The results of the Olsson-Turner method are characterized by significant systematic errors coming from unknown details of isobar physics. Sankt-Petersburg 1997

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“…Many experiments and analyses have been done for elastic ππ scattering, elastic πK scattering, and elastic K K scattering. Elastic phase shifts and elastic cross sections for ππ scattering have been measured via π − p → π − π − ∆ ++ [1][2][3], π + p → π 0 π 0 ∆ ++ [4], [9,10], π + p → π + π − ∆ ++ [11], π ± p → π ± π 0 p [7,12,13], π − p → π − π + n [7, [14][15][16][17][18][19][20][21], and K ± → π + π − e ± ν [22][23][24][25]. When the total isospin of the two pions is 0 or 1, from phase shifts and cross sections one can identify resonances such as f 0 (980), f 2 (1270), f 0 (1370), a 0 (980), and ρ(1450).…”

Section: Introductionmentioning

confidence: 99%

Cross sections for 2-to-3 meson-meson scattering

Weber

2020

Phys. Rev. D

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We study the processes KK → φ, πD → D * , πD →D * , and the production of ψ(4160) and ψ(4415) mesons in collisions of charmed mesons or charmed strange mesons. The 2-to-1 meson-meson scattering involves a process where a quark and an antiquark from the two initial mesons annihilate into a gluon and subsequently the gluon is absorbed by the spectator quark or antiquark. Transition amplitudes for the scattering process derive from the transition potential in conjunction with mesonic quark-antiquark wave functions and the relative-motion wave function of the two initial mesons. We derive these transition amplitudes in the partial wave expansion of the relative-motion wave function of the two initial mesons so that parity and total-angular-momentum conservation are maintained. We calculate flavor and spin matrix elements in accordance with the transition potential and unpolarized cross sections for the reactions using the transition amplitudes. Cross sections for the production of ψ(4160) and ψ(4415) generally increase as the colliding mesons go through the cases of DDWe suggest the production of ψ(4160) and ψ(4415) as a probe of hadronic matter that results from the quark-gluon plasma created in ultrarelativistic heavyion collisions. → ψ(4415), and D * + s D * − s → ψ(4415). Both ψ(4160) and ψ(4415) consist of aquark and an antiquark [20,21]. All these reactions are governed by the strong interaction.2The reaction KK → φ was studied in Ref. [22] in a mesonic model. The fifteen reactions that lead to ψ(4160) or ψ(4415) as a final state have not been studied theoretically. Now we study KK → φ, πD → D * , πD →D * , and the fifteen reactions using quark degrees of freedom. The production of J/ψ is a subject intensively studied in relativistic heavy-ion collisions. The ψ(4160) and ψ(4415) mesons may decay into the J/ψ meson. Through this decay the fifteen reactions add a contribution to the J/ψ production in relativistic heavy-ion collisions. This is another reason why we study the fifteen reactions here.This paper is organized as follows. In Sect. II we consider four Feynman diagrams and the S-matrix element for 2-to-1 meson-meson scattering, derive transition amplitudes and provide cross-section formulas. In Sect. III we present transition potentials corresponding to the Feynman diagrams and calculate flavor matrix elements and spin matrix elements. In Sect. IV we calculate cross sections, present numerical results and give relevant discussions. In Sect. V we summarize the present work. II. FORMALISMLowest-order Feynman diagrams are shown in Fig. 1 for the reaction A(q 1q1 ) + B(q 2q2 ) → H(q 2q1 or q 1q2 ). A quark in an initial meson and an antiquark in the other initial meson annihilate into a gluon, and the gluon is then absorbed by a spectator quark or antiquark. The four processes q 1 +q 2 +q 1 →q 1 , q 1 +q 2 + q 2 → q 2 , q 2 +q 1 + q 1 → q 1 , and q 2 +q 1 +q 2 →q 2 in Fig. 1 give rise to the four transition potentials V rq 1q2q1 , V rq 1q2 q 2 , V rq 2q1 q 1 , and V rq 2q1q2 , respectively. Denote by E i and ...

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Etude de la diffusion elastique π−πO par la methode d'extrapolation de chew et low a partir de la reaction π−p → π-πOp A 2.77 GeV/c

Cited by 65 publications

References 6 publications

Small-Δ2Behavior inπ−p→ρ

Small-Δ2Behavior inπ−p→ρ

Phenomenological πN→ππN amplitude and analysis of low energy data on total cross sections and 1--D distributions

Cross sections for 2-to-3 meson-meson scattering

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