The $\pi\pi$ Final State Interaction in $K\to\pi\pi$, $pp\to pp\pi\pi$ and Related Processes

M. P. Locher; V. E. Markushin; H. Q. Zheng

doi:10.1103/PhysRevD.55.2894

The $\pi\pi$ Final State Interaction in $K\to\pi\pi$, $pp\to pp\pi\pi$ and Related Processes

High Energy Physics - Phenomenology 2009-10-28 v1

Authors: M. P. Locher , V. E. Markushin , H. Q. Zheng

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Abstract

Final state interactions in the $S$ --wave $\pi\pi$ system (I=0,2) are re-examined on the basis of the Omn\`es-Mus\-khe\-li\-shvili equation and the coupled channel formalism. The contributions to the pion scalar form factor from $\rho$ and $f_2(1270)$ exchange in the $t$ --channel and from the $f_0(980)$ $s$ --channel resonance are separately evaluated and the role of the nontrivial polynomial in the Omn\`es function in a coupled channel situation is elucidated. Applications are made to $K\to \pi\pi$ and $pp\to pp\pi\pi$ . It is found that the contribution from the $f_0$ resonance to the form-factor is strongly reduced by a nearby zero.

Keywords

final state interactions pion scalar form factor Omnes equation coupled channels K to pi pi decay

Cite

@article{arxiv.hep-ph/9604310,
  title  = {The $\pi\pi$ Final State Interaction in $K\to\pi\pi$, $pp\to pp\pi\pi$ and Related Processes},
  author = {M. P. Locher and V. E. Markushin and H. Q. Zheng},
  journal= {arXiv preprint arXiv:hep-ph/9604310},
  year   = {2009}
}

Comments

PACS numbers: 13.75.Lb, 13.25.Es, 13.25.+m, 15 pages in plain latex with epsf.sty, 10 figures

The $\pi\pi$ Final State Interaction in $K\to\pi\pi$, $pp\to pp\pi\pi$ and Related Processes

Abstract

Keywords

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