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• W4298064343 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 Jp=32+,72+,112+,152+,192+. 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=α0+α′m2,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 Jp 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.
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• W4298064343 date "2008-08-01" @default.
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• W4298064343 title "Transition from resonances to surface waves in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si106.gif display=inline overflow=scroll><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=normal>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:ms>–</mml:ms><mml:mtext>p</mml:mtext></mml:mrow></mml:math> elastic scattering" @default.
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• W4298064343 doi "https://doi.org/10.1016/j.aop.2008.04.001" @default.
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