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• W3104590757 abstract "Abstract In this article, we study resonances and surface waves in π + – p scattering. We focus on the sequence whose spin-parity values are given by J p = 3 2 + , 7 2 + , 11 2 + , 15 2 + , 19 2 + . A widely-held belief takes for granted that this sequence can be connected by a moving pole in the complex angular momentum (CAM)-plane, which gives rise to a linear trajectory of the form J = α 0 + α ′ m 2 , α ′ ∼ 1 / ( GeV ) 2 , which is the standard expression of the Regge pole trajectory. But the phenomenology shows that only the first few resonances lie on a trajectory of this type. For higher J p this rule is violated and is substituted by the relation J ∼ kR , where k is the pion-nucleon c.m.s. momentum, and R ∼ 1 fm. In this article we prove: (a) Starting from a non-relativistic model of the proton, regarded as composed by three quarks confined by harmonic potentials, we prove that the first three members of this π + – p resonance sequence can be associated with a vibrational spectrum of the proton generated by an algebra sp ( 3 , R ) . Accordingly, these first three members of the sequence can be described by Regge poles and lie on a standard linear trajectory. (b) At higher energies the amplitudes are dominated by diffractive scattering, and the creeping waves play a dominant role. They can be described by a second class of poles, which can be called Sommerfeld’s poles, and lie on a line nearly parallel to the imaginary axis of the CAM-plane. (c) The Sommerfeld’s pole which is closest to the real axis of the CAM-plane is dominant at large angles, and describes in a proper way the backward diffractive peak in both the following cases: at fixed k, as a function of the scattering angle, and at fixed scattering angle θ = π , as a function of k. (d) The evolution of this pole, as a function of k, is given in first approximation by J ≃ kR ." @default.
• W3104590757 created "2020-11-23" @default.
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• W3104590757 date "2008-08-01" @default.
• W3104590757 modified "2023-09-27" @default.
• W3104590757 title "Transition from resonances to surface waves in π+–p elastic scattering" @default.
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