The relativistic chiral SU (3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant coupled-channel BetheSalpeter equation with the interaction kernel truncated at chiral order Q 3 where we include only those terms which are leading in the large N c limit of QCD. The baryon decuplet states are an important explicit ingredient in our scheme, because together with the baryon octet states they form the large N c baryon ground states of QCD. Part of our technical developments is a minimal chiral subtraction scheme within dimensional regularization, which leads to a manifest realization of the covariant chiral counting rules. All SU(3) symmetry-breaking effects are well controlled by the combined chiral and large N c expansion, but still found to play a crucial role in understanding the empirical data. We achieve an excellent description of the data set typically up to laboratory momenta of p lab ≃ 500 MeV.
Identifying the t-channel exchange of vector mesons as the driving force for
the s-wave scattering of pseudo-scalar mesons off the baryon ground states, a
surprisingly rich spectrum of molecules is formed. We argue that chiral
symmetry and large- N_c considerations determine that part of the interaction
which generates the spectrum. All channels that are required by the existence
of (u,d,s,c) quarks are considered. A bound state with exotic quantum numbers
is predicted at mass 2.78 GeV. It couples strongly to the (bar D_s N),(bar D
Lambda),(bar D Sigma) channels. A further charm minus-one system is predicted
at mass 2.84 GeV as a result of (bar D_s Lambda), (bar D Xi) interactions. We
suggest the existence of strongly bound crypto-exotic baryons, which contain a
charm-anti-charm pair. Such states are narrow since they can decay only via
OZI-violating processes. A narrow nucleon resonance is found at mass 3.52 GeV.
It is a coupled-channel bound state of the (eta_c N), (bar D Sigma_c) system,
which decays dominantly into the (eta' N) channel. Furthermore two isospin
singlet hyperon states at mass 3.23 GeV and 3.58 GeV are observed as a
consequence of coupled-channel interactions of the (bar D_s Lambda_c), (bar D
Xi_c) and (eta_c Lambda),(bar D Xi_c') states. Most striking is the small width
of about 1 MeV of the lower state. The upper state may be significantly broader
due to a strong coupling to the (eta' Lambda) state. The two so far observed
s-wave baryons with charm one are recovered. We argue that the Lambda_c(2880)
is not a s-wave state. In addition to those states we predict the existence of
about ten narrow s-wave baryon states with masses below 3 GeV.Comment: 51 pages, 3 figures, 25 tables some misprints are corrected, a few
more references are adde
We study heavy-light meson resonances with quantum numbers J P = 0 + and J P = 1 + in terms of the non-linear chiral SU(3) Lagrangian. At leading order a parameter-free prediction is obtained for the scattering of Goldstone bosons off heavy-light pseudo-scalar and vector mesons once we insist on approximate crossing symmetry of the unitarized scattering amplitude. The recently announced narrow open charm states observed by the BABAR and CLEO collaborations are reproduced. We suggest the existence of states that form an anti-triplet and a sextet representation of the SU (3) group. In particular, so far unobserved narrow isospinsinglet states with negative strangeness are predicted. The open bottom states with (I, S) = (0, −1) are anticipated at 5761 MeV (J P = 0 + ) and 5807 MeV (J P = 1 + ). For the anti-triplet states our results differ most significantly from predictions that are based on a linear realization of the chiral SU(3) symmetry in the open bottom sector. Strongly bound 0 + -and 1 + -states with (I, S) = (0, 1) at 5643 MeV and 5690 MeV are predicted.
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