scholarly journals Nπ scattering in the Roper channel

2018 ◽  
Vol 175 ◽  
pp. 05004
Author(s):  
M. Padmanath ◽  
C. B. Lang ◽  
Luka Leskovec ◽  
Sasa Prelovsek
Keyword(s):  
Lattice Qcd ◽  
Positive Parity ◽  
Roper Resonance ◽  
S Wave ◽  
Lattice Spectrum ◽  
Lattice Calculations ◽  
Channel Effects ◽  
Technical Details ◽  
Elastic Approximation ◽  
Coupled Channel

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.

scholarly journals COUPLED CHANNEL EFFECTS IN ππ S-WAVE INTERACTION

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1905-1909 ◽  
Author(s):  
F. Q. WU ◽  
B. S. ZOU
Keyword(s):  
Wave Scattering ◽  
Wave Interaction ◽  
Matrix Formalism ◽  
S Wave ◽  
Coupled Channels ◽  
Channel Effects ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Coupled Channel ◽  
K Matrix

We study coupled channel effects upon isospin I=2 and I=0 ππ S-wave interaction. With introduction of the ππ→ρρ→ππ coupled channel box diagram contribution into ππ amplitude in addition to ρ and f2(1270) exchange, we reproduce the ππ I =2 S-wave and D-wave scattering phase shifts and inelasticities up to 2 GeV quite well in a K-matrix formalism. For I=0 case, the same ππ→ρρ→ππ box diagram is found to give the largest contribution for the inelasticity among all possible coupled channels including ππ→ωω→ππ, [Formula: see text]. We also show why the broad σ appears narrower in production processes than in ππ scattering process.

scholarly journals Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with mud≈msphys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Ben Hörz ◽  
Dean Howarth ◽  
Enrico Rinaldi ◽  
Andrew Hanlon ◽  
Chia Cheng Chang ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
S Wave ◽  
Wave Interactions ◽  
Symmetric Point

scholarly journals Coupled-channel effects in the pp→ppK+K− reaction

2008 ◽  
Vol 668 (4) ◽  
pp. 315-318 ◽  
Author(s):  
A. Dzyuba ◽  
M. Büscher ◽  
M. Hartmann ◽  
I. Keshelashvili ◽  
V. Koptev ◽  
...  
Keyword(s):  
Channel Effects ◽  
Coupled Channel

scholarly journals S-wave kaon–nucleon potentials with all-to-all propagators in the HAL QCD method

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kotaro Murakami ◽  
◽  
Yutaro Akahoshi ◽  
Sinya Aoki
Keyword(s):  
Lattice Qcd ◽  
Pion Mass ◽  
Phase Shifts ◽  
Quark Propagator ◽  
Repulsive Interaction ◽  
S Wave ◽  
Experimental Phase ◽  
Future Studies ◽  
Zero Momentum ◽  
The One

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.

scholarly journals Baryon interactions from lattice QCD with physical quark masses – Nuclear forces and ΞΞ forces –

2018 ◽  
Vol 175 ◽  
pp. 05009 ◽  
Author(s):  
Takumi Doi ◽  
Takumi Iritani ◽  
Sinya Aoki ◽  
Shinya Gongyo ◽  
Tetsuo Hatsuda ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Heavy Ion ◽  
Heavy Ion Collision ◽  
Nuclear Forces ◽  
Gauge Action ◽  
Quark Masses ◽  
Momentum Correlation ◽  
Coupled Channel ◽  
Ion Collision

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.

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