[SEMINARI] SEMINAR: Kanchan Khemchandani, Three body resonances in two meson one baryon systems

[German Rodrigo Garcia]

Three body resonances in two meson one baryon systems

Kanchan Khemchandani
Universitat de Valencia
Friday, 2 of March of 2007     12:00 PM
Theoretical Physics Seminars room
Abstract

We report four $\Sigma$'s (1480, 1560, 1620 and 1660 MeV) and two 
$\Lambda$'s (1600 and 1810 MeV) with $J^P= 1/2^+$, which are all the 
$\Lambda$'s in the PDG below 1810 MeV and all the $\Sigma$'s below 1750 
MeV, as dynamically generated resonances in the $\pi \bar{K} N$ system and 
its coupled channels. We solve Faddeev equations in the coupled channel 
approach taking twenty two of them into account and assuming correlations 
in the subsystem of $\bar{K} N$ and its two body coupled channels. The 
invariant mass of this correlated pair and that of the three particles is 
varied and the squared three body $T$-matrix is plotted as a function of 
these two variables. We find three dimensional peaks in these plots at the 
energies very close to the above mentioned resonances. The input two-body 
$t$-matrices for meson-meson and meson-baryon interactions have been 
obtained by solving the Bethe-Salpeter equations with Chiral Lagrangians.