12 research outputs found
Two Particle States and the -matrix Elements in Multi-channel Scattering
Using a quantum mechanical model, the exact energy eigenstates for
two-particle two-channel scattering are studied in a cubic box with periodic
boundary conditions in all three directions. A relation between the exact
energy eigenvalue in the box and the two-channel -matrix elements in the
continuum is obtained. This result can be viewed as a generalization of the
well-known L\"uscher's formula which establishes a similar relation in elastic
scattering.Comment: 18 pages, no figures. minor changes compared with previous versio
A low-lying scalar meson nonet in a unitarized meson model
A unitarized nonrelativistic meson model which is successful for the
description of the heavy and light vector and pseudoscalar mesons yields, in
its extension to the scalar mesons but for the same model parameters, a
complete nonet below 1 GeV. In the unitarization scheme, real and virtual
meson-meson decay channels are coupled to the quark-antiquark confinement
channels. The flavor-dependent harmonic-oscillator confining potential itself
has bound states epsilon(1.3 GeV), S(1.5 GeV), delta(1.3 GeV), kappa(1.4 GeV),
similar to the results of other bound-state qqbar models. However, the full
coupled-channel equations show poles at epsilon(0.5 GeV), S(0.99 GeV),
delta(0.97 GeV), kappa(0.73 GeV). Not only can these pole positions be
calculated in our model, but also cross sections and phase shifts in the
meson-scattering channels, which are in reasonable agreement with the available
data for pion-pion, eta-pion and Kaon-pion in S-wave scattering.Comment: A slightly revised version of Zeitschrift fuer Physik C30, 615 (1986
Studying Kaon-pion S-wave scattering in K-matrix formalism
We generalize our previous work on \pi\pi scattering to K\pi scattering, and
re-analyze the experiment data of K\pi scattering below 1.6 GeV. Without any
free parameter, we explain K\pi I=3/2 S-wave phase shift very well by using
t-channel rho and u-channel K^* meson exchange. With the t-channel and
u-channel meson exchange fixed as the background term, we fit the K\pi I=1/2
S-wave data of the LASS experiment quite well by introducing one or two
s-channel resonances. It is found that there is only one s-channel resonance
between K\pi threshold and 1.6 GeV, i.e., K_0^*(1430) with a mass around
1438~1486 MeV and a width about 346 MeV, while the t-channel rho exchange gives
a pole at (450-480i) MeV for the amplitude.Comment: REVTeX4 file, 11 pages and 3 figure
Recommended from our members
SEARCH FOR I = 2 HYPERONS AND STUDY OF RESONANCES IN K-d INTERACTIONS
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A STUDY OF K+n- SCATTERING IN THE REACTION K+p -> K+n-A++ AT 12 GeV/c
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Is the L a meson?
The Kππ enhancement at 1780 MeV (the "L meson") is copiously produced in our K+p experiment at 12 GeV/c. We show that this "meson" can be explained as a threshold enhancement in the KN(1420)π system. We see no evidence for this enhancement in channels other than KN(1420)π. © 1969 The American Physical Society.SCOPUS: ar.jinfo:eu-repo/semantics/publishe