Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the \sigma, f_0(980), a_0(980) Scalar Mesons
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangians. By means of one parameter, a cut off in the momentum of the loop integrals, which results of the order of 1 GeV, we obtain singularities in the S-wave amplitudes corresponding to the \sigma,f_0 and a_0 resonances. The \pi\pi-->\pi\pi, \pi\pi-->K\bar{K} phase shifts and inelasticities in the T=0 scalar channel are well reproduced as well as the \pi^-\eta and K^-K^0 mass distributions in the T=1 channel. Furthermore, the total and partial decay widths of the f_0 and a_0 resonances are properly reproduced including also the decay into the \gamma\gamma channel. The results seem to indicate that chiral symmetry constraints at low energy and unitarity in coupled channels is the basic information contained in the meson-meson interaction below \sqrt(s)=1.2 GeV.
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Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conventional q-bar q states.
Predictions of two states in u d-bar s cc, three in u d-bar s cb, and four in u d-bar s bb sectors plus virtual states, obtained via unitary coupled channels with off-diagonal binding dominance.
Introduces a hybrid loop function in Bethe-Salpeter unitarization within the local hidden gauge approach to generate hidden-charm pentaquarks, reproducing six known states and predicting new ones in the S=-1, I=1 sector.
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
Coupled-channel calculations show Pc and Pcs states as molecular bound states with RMS radii 0.5-2 fm when heavy-quark spin symmetry is respected across all channels.
This is a review chapter summarizing the established framework of scattering theory in particle physics.
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$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
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Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conventional q-bar q states.
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Unified study of scalar, vector and tensor two-meson form factors in $U(3)$ resonance chiral theory
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
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Study of the molecular Properties of the $P_c$ and $P_{cs}$ States
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This is a review chapter summarizing the established framework of scattering theory in particle physics.