Fermion trajectory parametrization and superconvergence

Ramachandran, R. (1968) Fermion trajectory parametrization and superconvergence Physical Review, 166 (5). pp. 1528-1531. ISSN 0031-899X

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Official URL: http://prola.aps.org/abstract/PR/v166/i5/p1528_1

Related URL: http://dx.doi.org/10.1103/PhysRev.166.1528


A parametrization of the nucleon and Δ trajectory is given, using both the position and the width of the resonances in a dispersion relation. The nucleon trajectory requires and accommodates a D-wave πN resonance in the neighborhood of 1670 MeV. Another significant outcome of the scheme is that the Δ trajectory has an intercept, at W=0, of -0.69 and hence leads to a superconvergence relation for πp scattering invariant amplitudes in the nearly backward direction (u=0). The resulting sum rules are satisfied only if there exists a strong attractive s-wave interaction (for example, a σ meson) or other equivalent effects (such as an f meson) in the ππ→NN̅ channel.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:39094
Deposited On:06 May 2011 12:58
Last Modified:06 May 2011 12:58

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