Elastic $Kπ$ amplitude: a simple model
| dc.creator | Magalhães, P. C. | |
| dc.creator | Robilotta, M. R. | |
| dc.date | 2008-08-26 | |
| dc.date.accessioned | 2026-07-07T09:58:38Z | |
| dc.date.available | 2026-07-07T09:58:38Z | |
| dc.description | We present a chiral model for the $J=0, I=1/2,$ elastic $K\p$ amplitude, suited to be employed in $D^+ \rar K^- \p^+ \p^+$ data analyses and valid between threshold and $1.5 $GeV. Although not as precise as other versions available in the literature, it is rather simple and incorporates the essential physics in this energy domain. In the case of the $K$-matrix approximation, the model allows the pole structure of the $K\p$ amplitude to be understood by solving a quadratic equation in $s$. We show that the solutions to this equation can be well approximated by polynomials of masses and coupling constants. This analytic structure allows a clear understanding why, depending on the values of one of the coupling constants, one may have one or two physical poles. The model yields a pole, associated with the $\k$, at $\sqrt{s}= (0.75 - i 0.24) $GeV. | |
| dc.description | 13 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0808.3594 | |
| dc.identifier | http://arxiv.org/abs/0808.3594 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167789 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Elastic $Kπ$ amplitude: a simple model | |
| dc.type | text |