Abstract
The recent ANKE@COSY data on the differential cross section of reaction pd \to pd\pi\pipd→pdππ demonstrate a peak at invariant mass of the final d\pi\pidππ system 2.38~GeV2.38GeV, that corresponds to the isoscalar J^P = 3^+JP=3+ dibaryon D_{03}D03, and the enhancement in the distribution over the invariant mass of two final pions. The two-resonance model involving the tt-channel \sigmaσ-meson exchange between the proton and deuteron in the subprocess pd\to pD_{03}pd→pD03 and the sequential decays D_{03}\to D_{12}+\piD03→D12+π and D_{12}\to d +\piD12→d+π was applied to describe the shapes of these distributions with the lowest orbital angular momenta in the corresponding vertices. A possible role of higher orbital momenta in those vertices is studied here.
Highlights
A clear resonance structure was observed by the WASA@COSY in the total cross section of the reaction pn → dπ0π0 at the invariant mass of the pn-system 2.380 GeV [1, 2]
The differential cross section of the reaction pd → pdππ calculated at orbital angular momenta L = 2, l1 = 5, l2 = 3 for the interval of the scattering angle of the deuteron 0◦ < θdc.m. < 11◦ is depicted in Fig. 5a as a function of the mass Mππ
The two-resonance model of the reaction pd → pdππ considered in Refs. [10] allows one to describe shapes of the measured in [7] distributions over the invariant masses Mdππ and Mππ if the lowest orbital angular momenta are used in the vertices σ + d → D03, D03 → D12 + π and D12 → d + π
Summary
A clear resonance structure was observed by the WASA@COSY in the total cross section of the reaction pn → dπ0π0 at the invariant mass of the pn-system 2.380 GeV [1, 2] The isospin of this system T is equal to zero and the spin-parity J P found in [2] and in polarization measurements [3, 4] is equal to 3+. The mass of this resonance is close to the ∆∆-threshold, but its width Γ = 70 M eV is twice lower as compared to the width of the free ∆-isobar that is an indication to its unusual structure Another interesting feature of this reaction is a resonance behavior of its differential cross section as a function of the invariant mass of the final twopion system Mππ known as the ABC-effect [5]. We are focused on the role of possible higher orbital momenta in those vertices
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