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Journal Articles Il Nuovo Cimento A Year : 1975

Zero-contours in low-energy K-π scattering

Alain Arnéodo

Abstract

The paths of zeros of the low-energy $K-π$ scattering amplitudes $A^{I_s=32}$ and $A^{I_t=1}$ are examined in a simple $K*$ and $ρ$ dominance model, where it is found that the roles of PCAC zero, $K^*$ and $ρ$ Legendre zero, and double-pole-killing zero are played by the same zero-contour in the $(s, t, u)-$plane, an ellipse for the first amplitude, an ellipse plus the lines$=u$ for the second one. The behaviour of these zero-contours in the $u-$channel physical region is studied in comparison with the experimental zeros determined from the $K^+π^−→K^+π^−$ and $K^+π^0→K^0π^−$ scattering results, and it is found that up to the $K^*$ mass region the elliptic contour of $A^{I_s=32}$ is essentially unaffected by unitarity, whilst the elliptic contour of $A^{I_t=1}$ is slightly more sensitive to such constraints. A comparison with the behaviour of the zeros of the corresponding $π-π$ amplitudes $A^{I_s=2}_{ππ}$ and $A^{I_t=1}_{ππ}$ is also performed.
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hal-01557180 , version 1 (05-07-2017)

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Alain Arnéodo. Zero-contours in low-energy K-π scattering. Il Nuovo Cimento A, 1975, 25 (3), pp.511-533. ⟨10.1007/bf02820862⟩. ⟨hal-01557180⟩

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