A unitarized fixed-center approximation predicts a narrow KX(3872) bound state 50 MeV below threshold and a characteristic femtoscopic correlation function.
Garcia-Recio, L
3 Pith papers cite this work. Polarity classification is still indexing.
abstract
A study is presented of the $s-$wave meson-meson interactions involving members of the $\rho-$nonet and of the $\pi-$octet. The starting point is an SU(6) spin-flavor extension of the SU(3) flavor Weinberg-Tomozawa Lagrangian. SU(6) symmetry breaking terms are then included to account for the physical meson masses and decay constants, while preserving partial conservation of the axial current in the light pseudoscalar sector. Next, the $T-$matrix amplitudes are obtained by solving the Bethe Salpeter equation in coupled-channel with the kernel built from the above interactions. The poles found on the first and second Riemann sheets of the amplitudes are identified with their possible Particle Data Group (PDG) counterparts. It is shown that most of the low-lying even parity PDG meson resonances, specially in the $J^P=0^+$ and $1^+$ sectors, can be classified according to multiplets of the spin-flavor symmetry group SU(6). The $f_0(1500)$, $f_1(1420)$ and some $0^+(2^{++})$ resonances cannot be accommodated within this SU(6) scheme and thus they would be clear candidates to be glueballs or hybrids. Finally, we predict the existence of five exotic resonances ($I \ge 3/2$ and/or $|Y|=2$) with masses in the range 1.4--1.6 GeV, which would complete the $27_1$, $10_3$, and $10_3^*$ multiplets of SU(3)$\otimes$SU(2).
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hep-ph 3years
2026 3roles
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background 2representative citing papers
A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.
The K D_s0*(2317) system develops a narrow resonance 40 MeV below threshold under the fixed-center molecular assumption, producing a characteristic correlation function for strong attraction.
citing papers explorer
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$KX(3872)$ interaction and correlation function
A unitarized fixed-center approximation predicts a narrow KX(3872) bound state 50 MeV below threshold and a characteristic femtoscopic correlation function.
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Vector charmonium(-like) states in the energy range of 4.1-4.6 GeV
A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.
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Correlation function and bound state from the $K D_{s0}^*(2317)$ interaction
The K D_s0*(2317) system develops a narrow resonance 40 MeV below threshold under the fixed-center molecular assumption, producing a characteristic correlation function for strong attraction.