The Inverse Problem: Extracting Time-Like from Space-Like Data

R. Baldini; E. Pasqualucci; S. Dubnička; P. Gauzzi; S. Pacetti; Y. Srivastava

The Inverse Problem: Extracting Time-Like from Space-Like Data

High Energy Physics - Phenomenology 2014-11-17 v1

Authors: R. Baldini , E. Pasqualucci , S. Dubnička , P. Gauzzi , S. Pacetti , Y. Srivastava

Abstract

A practical strategy is presented and successfully implemented to determine form factors in the time-like but unphysical (below threshold) region using dispersion relations, in a model independent way without any bias towards expected resonances. Space and time-like data have been employed along with a regularization scheme to unfold and solve the integral equations. Remarkably, resonance structures with peaks for the $\rho(770)$ , $\rho'(1600)$ and a structure near the $N\bar N$ threshold are automatically generated. The $\Phi$ peak is invisible thus refuting suggestions about any sizeable $s\bar s$ content in the nucleon.

Keywords

spacetime physics partial differential equations spatiotemporal dynamics

Cite

@article{arxiv.hep-ph/0106006,
  title  = {The Inverse Problem: Extracting Time-Like from Space-Like Data},
  author = {R. Baldini and E. Pasqualucci and S. Dubnička and P. Gauzzi and S. Pacetti and Y. Srivastava},
  journal= {arXiv preprint arXiv:hep-ph/0106006},
  year   = {2014}
}

Comments

4 pages, 8 figures, e^+e^- Physics at Intermediate Energies Workshop - Contribution T20

The Inverse Problem: Extracting Time-Like from Space-Like Data

Abstract

Keywords

Cite

Comments

Related papers