Is the Theta+ a K pi N bound state?

Abstract

Following a recent suggestion that the ${\Theta }^{+}$ could be a $K\pi N$ bound state we perform an investigation under the light of the meson meson and meson baryon dynamics provided by the chiral Lagrangians and using methods currently employed to dynamically generate meson and baryon resonances by means of unitary extensions of chiral perturbation theory. We consider two body and three body forces and examine the possibility of a bound state below the three particle pion-kaon-nucleon and above the kaon-nucleon thresholds. Although we find indeed an attractive interaction in the case of isospin I=0 and spin-parity $1/2^{+}$, the interaction is too weak to bind the system. If we arbitrarily add to the physically motivated potential the needed strength to bind the system and with such strong attraction evaluate the decay width into $KN$, this turns out to be small. A discussion on further work in this direction is done.

arXiv commentChange of title and few sentences, size of two graphs. References added

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• Search for the exotic ${\Xi }^{--}(1860)$ Resonance in 340GeV/c ${\Sigma }^{-}$-Nucleus Interactions
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• Lattice study of K pi scattering in I = 3/2 and 1/2
• Scalar Lambda N and Lambda Lambda interaction in a chiral unitary approach
• Tetraquark resonances with the triple flip-flop potential, decays in the cherry in a broken glass approximation
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• Study of the $\gamma d\to K^{+}{K}^{-}np$ reaction and an alternative explanation for the "${\Theta }^{+}(1540)$ pentaquark" peak
• A comprehensive search for the Θ^+ pentaquark on the lattice
• A Phenomenological Lagrangian Approach to Two Kaon Photoproduction and Pentaquark Searches
• Further study on 5q configuration states in the chiral SU(3) quark model
• Spin asymmetries in gamma + N --> K*bar + Theta^+
• Searching for exotic states in the $N\pi K$ system
• Two-meson cloud contribution to the baryon antidecuplet binding
• Absence of evidence for pentaquarks on the lattice
• Are the anti-charmed and bottomed pentaquarks molecular heptaquarks?
• Phenomenological study of two-meson couplings of Theta+
• The anti-decuplet candidate Xi--(1862) as a heptaquark with the overlap of two anti-kaons and a nucleon
• Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules
• Mass spectrum of the J^P=1/2^- and 3/2^- pentaquark antidecuplets in the perturbative chiral quark model
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• N K Pi molecular state with I=1 and J(Pi)=3/2-
• Structure and decay width of Θ^+ in a one-gluon exchange model
• In-medium Properties of ${\Theta }^{+}$ as a K$\pi$N structure in Relativistic Mean Field Theory
• Prediction of the masses and decay processes of strange, charmed and bottomed pentaquarks from the linear molecular crypto-heptaquark model
• $\Lambda (1405)$ and $\bar{\Lambda }(1405)$ in $J/\psi$ four-body decays
• Two-meson cloud contribution to the baryon antidecuplet self-energy
• Three body systems with strangeness and exotic systems