First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD
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abstract
We derive the relation between the scattering phase shift and the two-particle energy in the finite box, which is relevant for extracting the strong phase shifts in lattice QCD. We consider elastic scattering of two particles with different mass and with non-zero total momentum in the lattice frame. This is a generalization of the Luscher formula, which considers zero total momentum, and the generalization of Rummukainen-Gottlieb's formula, which considers degenerate particles with non-zero total momentum. We focus on the most relevant total momenta in practice, i.e. P=(2\pi/L) e_z and P=(2\pi/L) (e_x+e_y) including their multiples and permutations. We find that the P-wave phase shift can be reliably extracted from the two-particle energy if the phase shifts for l>=2 can be neglected, and we present the corresponding relations. The reliable extraction of S-wave phase shift is much more challenging since delta(l=0) is always accompanied by delta(l=1) in the phase shift relations, and we propose strategies for estimating delta(l=0). We also propose the quark-antiquark and meson-meson interpolators that transform according the considered irreducible representations.
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Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.
Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.
citing papers explorer
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Exotic $T^*_{csJ}$ and $T^*_{c\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD
First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
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Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
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Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD
Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.
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Lattice QCD study of the $K^*(892)$ resonance at the physical point
Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.