The Effect of Final State Interactions on Reaction Cross Sections

Watson, Kenneth

doi:10.1103/physrev.88.1163

Cited by 972 publications

(546 citation statements)

References 19 publications

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“…In this work the resonance contribution to the np → npπ 0 π 0 reaction was calculated in analogy to that for the np → dπ 0 π 0 reaction, only that three-body phasespace is replaced by a four-body phase space and the condition for the momenta of the emitted nucleons to be in accord with the deuteron wave function is replaced by the requirement that the emerging np pair undergoes a final-state interaction chosen to be of Migdal-Watson type [49][50][51]:…”

Section: Description Of the D * (2380) Resonance Processmentioning

confidence: 99%

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Examination of the nature of the ABC effect

2017

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Recently it has been shown by exclusive and kinematically complete experiments that the appearance of a narrow resonance structure in double-pionic fusion reactions is strictly correlated with the appearance of the so-called ABC effect, which denotes a pronounced low-mass enhancement in the ππ-invariant mass spectrum. Whereas the resonance structure got its explanation by the d * (2380) dibaryonic resonance, a satisfactory explanation for the ABC effect is still pending. In this paper we discuss possible explanations of the ABC effect and their consequences for the internal structure of the d * dibaryon. To this end we examine and review a variety of proposed explanations for the ABC effect, add a new hypothesis and confront all of them with the experimental results for the np → dπ 0 π 0 and np → npπ 0 π 0 reactions, which are the most challenging ones for this topic.

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Section: Description Of the D * (2380) Resonance Processmentioning

confidence: 99%

“…[13,56] the ∆∆-FSI was parameterized in the Migdal-Watson ansatz [49][50][51] providing the factoranalogous to eq. (17) -…”

Section: ∆∆ Final State Interactionmentioning

confidence: 99%

Examination of the nature of the ABC effect

2017

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“…For decay amplitudes, final state interactions are taken into account by means of the Watson's theorem [8,12]:…”

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confidence: 99%

Final state interactions in B → Dϱ and decays

Nardulli

Pham

1997

Physics Letters B

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We analyze final state strong interaction effects in B → Dρ and B → D * π decays using the Regge model. We find that, due to the smallness of the contributions from the non-leading Regge trajectories (ρ , f , π etc.), final state interaction phases are small if the Pomeron coupling to the charm quark is suppressed in comparison to lighter quarks. Our conclusion is that for B decays into states containing charm, final state interaction effects should play a minor role.

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Section: Introductionmentioning

confidence: 99%

“…The transition matrix element for the reaction pp → ppX, M pp→ppX , incorporates the production mechanism and both the initial (ISI) and final (FSI) state interactions. In analogy with the Watson-Migdal approximation [18] for two body processes, we may assume that the complete transition amplitude for a production process M pp→ppX factorizes approximately as [19]:where M 0 represents the total production amplitude, M F SI describes the elastic interaction among particles in the exit channel, and ISI denotes the reduction factor due to the interaction of the colliding protons.Equation (2) suggests that a natural variable for comparing the total cross sections for different mesons may be the volume of available phase space, 2 V ps = dV ps . Figure 1 shows the yield of π 0 , η, and η ′ mesons in the proton-proton interaction as a function of available phase space volume.…”

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S-wave η′-proton FSI; phenomenological analysis of near-threshold production of π0, η, and η′ mesons in proton-proton collisions

et al. 2000

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We describe a novel technique for comparing total cross sections for the reactions pp → ppπ 0 , pp → ppη, and pp → ppη ′ close to threshold. The initial and final state proton-proton interactions are factored out of the total cross section, and the dependence of this reduced cross section on the volume of phase space is discussed. Different models of the proton-proton interaction are compared. We argue that the scattering length of the S-wave η ′ -proton 1 interaction is of the order of 0.1 fm. PACS: 13.60. Le, 13.85.Lg, 29.20.Dh Typeset using REVT E X 2 New results on η and η ′ meson production in the reaction pp → ppX, measured very recently at the COSY-11 facility [1,2], together with previous data [3,4,5,6,7,8], determine the energy dependence of the near-threshold total cross section with a precision comparable to the measurements of the reaction pp → ppπ 0 [9,10]. These new data encouraged us to perform a phenomenological analysis similar to those of references [11,12,13]. Here we concentrate on π 0 , η, and η ′ meson production, and complete the analysis of these references by taking into account the interaction between the incident protons, and by introducing a new representation of the data. The production rates of π 0 , η, and η ′ mesons will be compared as a function of the available phase space. We will study the phase-space dependence of the quantity |M 0 | which is derived from the total cross section with the ISI and pp-FSI factored out. Consideration of the dependence of |M 0 | on phase space allows us to infer the η-proton and η ′ -proton interactions. To avoid large ambiguities due to differences in pp-FSI models, we normalize the |M 0 | for η and η ′ mesons to the one for the π 0 meson and show that the resulting η ′ -proton interaction is comparable to the π 0 -proton one.In general, the total cross section is presented as a function of the dimensionless parameter η M [9,10,12] 1 , which is defined as the maximum meson momentum in units of meson mass (η M = q max M ), or as a function of the center-of-mass excess energy Q [3,6,8], where nonrelativistically these variables are related by:with m p and M denoting the proton and meson mass, respectively. The above equationshows that the proportionality factor between the variables Q and η 2 M changes for different mesons, since the masses of the π 0 , η, and η ′ are distinct. Hence, depending which variable is selected, the relation between the cross section values changes for different mesons. For example, as shown in reference [4] the η meson production-cross-section exceeds the π 0 cross 1 In order to avoid ambiguities with the abbreviation for the eta-meson, we introduce an additional suffix M for this parameter, which usually is called η.3 section by about a factor of five using η M , whereas the π 0 meson cross section is always larger when employing the Q scale.The total cross section for pp → ppX is in general an integral over phase space, weighted by the square of the transition matrix element and normalized to the incoming fl...

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The Effect of Final State Interactions on Reaction Cross Sections

Cited by 972 publications

References 19 publications

Examination of the nature of the ABC effect

Examination of the nature of the ABC effect

Final state interactions in B → Dϱ and decays

S-wave η′-proton FSI; phenomenological analysis of near-threshold production of π0, η, and η′ mesons in proton-proton collisions

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