Coupled Channel Approach to S-Wave Hyperonic Interactions from Lattice QCD

2013 ◽  
Vol 54 (7-10) ◽  
pp. 1109-1112 ◽  
Author(s):  
Kenji Sasaki
Keyword(s):  
S Wave ◽  
2018 ◽  
Vol 175 ◽  
pp. 05004
Author(s):  
M. Padmanath ◽  
C. B. Lang ◽  
Luka Leskovec ◽  
Sasa Prelovsek

We present results from our recent lattice QCD study of Nπ scattering in the positive-parity nucleon channel, where the puzzling Roper resonance N*(1440) resides in experiment. Using a variety of hadron operators, that include qqq-like, Nπ in p-wave and Nσ in s-wave, we systematically extract the excited lattice spectrum in the nucleon channel up to 1.65 GeV. Our lattice results indicate that Nπ scattering in the elastic approximation alone does not describe a low-lying Roper. Coupled channel effects between Nπ and Nππ seem to be crucial to render a low-lying Roper in experiment, reinforcing the notion that this state could be a dynamically generated resonance. After giving a brief motivation for studying the Roper channel and the relevant technical details to this study, we will discuss the results and the conclusions based on our lattice investigation and in comparison with other lattice calculations.


2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Ben Hörz ◽  
Dean Howarth ◽  
Enrico Rinaldi ◽  
Andrew Hanlon ◽  
Chia Cheng Chang ◽  
...  

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kotaro Murakami ◽  
◽  
Yutaro Akahoshi ◽  
Sinya Aoki

Abstract Employing an all-to-all quark propagator technique, we investigate kaon–nucleon interactions in lattice QCD. We calculate the S-wave kaon–nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations on $32^3 \times 64$ lattices with lattice spacing $a \approx 0.09$ fm and pion mass $m_{\pi} \approx 570$ MeV. We take the one-end trick for all-to-all propagators, which allows us to put the zero-momentum hadron operators at both source and sink and to smear quark operators at the source. We find a stronger repulsive interaction in the $I=1$ channel than in the $I=0$. The phase shifts obtained by solving the Schrödinger equations with the potentials qualitatively reproduce the energy dependence of the experimental phase shifts, and have similar behavior to previous results from lattice QCD without all-to-all propagators. Our study demonstrates that the all-to-all quark propagator technique with the one-end trick is useful for studying interactions in meson–baryon systems in the HAL QCD method, so we will apply it to meson–baryon systems which contain quark–antiquark creation/annihilation processes in our future studies.


2018 ◽  
Vol 175 ◽  
pp. 05009 ◽  
Author(s):  
Takumi Doi ◽  
Takumi Iritani ◽  
Sinya Aoki ◽  
Shinya Gongyo ◽  
Tetsuo Hatsuda ◽  
...  

We present the latest lattice QCD results for baryon interactions obtained at nearly physical quark masses. Nf = 2 + 1 nonperturbatively O(a)-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of (96a)4 ≃(8.1fm)4 with a-1 ≃2.3 GeV, where mπ ≃146 MeV and mK ≃525 MeV. In this report, we study the two-nucleon systems and two-Ξ systems in 1S0 channel and 3S1-3D1 coupled channel, and extract central and tensor interactions by the HAL QCD method. We also present the results for the NΩ interaction in 5S2 channel which is relevant to the NΩ pair-momentum correlation in heavy-ion collision experiments.


2010 ◽  
Vol 19 (11) ◽  
pp. 2181-2188 ◽  
Author(s):  
S. M. GERASYUTA ◽  
V. I. KOCHKIN

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson–meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks, including u, d, s, and bottom quarks, are constructed. The poles of these amplitudes determine the masses and widths of S-wave bottom tetraquarks.


2021 ◽  
Vol 57 (2) ◽  
Author(s):  
Pok Man Lo

AbstractWe demonstrate the construction of a density of states from the S-matrix describing a coupled-channel (S-wave $$\pi \pi , K {\bar{K}}$$ π π , K K ¯ ) system, and examine the influences from various structures of particle dynamics: poles, roots, and Riemann sheets.


2009 ◽  
Vol 79 (5) ◽  
Author(s):  
C. García-Recio ◽  
V. K. Magas ◽  
T. Mizutani ◽  
J. Nieves ◽  
A. Ramos ◽  
...  

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