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Related papers: Results on meson-meson scattering at large $N_\tex…

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We explore potential explanations for why using large-$N_c$ ($N_c$ is the number of colors) scaling to determine the relative size of few-nucleon low-energy operators agrees with experiment even when dynamical $\Delta$'s are not explicitly…

Nuclear Theory · Physics 2025-08-20 Thomas R. Richardson , Matthias R. Schindler , Roxanne P. Springer

We calculate numerically scattering phases for elastic meson-meson scattering processes in the strongly coupled massive Schwinger-model with an SU(2) flavour symmetry. These calculations are based on Luescher's method in which finite size…

High Energy Physics - Lattice · Physics 2009-10-31 C. Gutsfeld , H. A. Kastrup , K. Stergios

We report a lattice QCD study of the heavy-light meson-meson interactions with an explicitly exotic flavor content $bc\bar u\bar d$, isospin $I\!=\!0$, and axialvector $J^P=1^+$ quantum numbers in search of possible tetraquark bound states.…

High Energy Physics - Lattice · Physics 2024-05-27 M. Padmanath , Archana Radhakrishnan , Nilmani Mathur

We present the first lattice QCD determination of coupled $DD_s^*$ and $D^*D_s$ scattering amplitudes in the $J^{P}=1^{+}$ channel and elastic $DD_s$ scattering amplitude in the $J^{P}=0^{+}$ channel. The aim is to investigate whether…

High Energy Physics - Lattice · Physics 2025-10-01 Tanishk Shrimal , Sara Collins , Priyajit Jana , M. Padmanath , Sasa Prelovsek

It is shown that the large $N_c$ limit of QCD with quarks in the two-index antisymmetric color representation [QCD(AS)] has narrow tetraquark states with exotic flavor quantum numbers. They decay into mesons with a width that is…

High Energy Physics - Phenomenology · Physics 2014-03-26 Thomas D. Cohen , Richard F. Lebed

The two-particle finite-volume scattering formalism derived by L\"uscher and generalized in many subsequent works does not hold for energies far enough below the two-particle threshold to reach the nearest left-hand cut. The breakdown of…

High Energy Physics - Lattice · Physics 2024-10-11 André Baião Raposo , Maxwell T. Hansen

Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_{\pi} = 200~{\rm MeV}$. The $s$-wave scattering lengths with…

The scattering lengths and effective ranges that describe low-energy nucleon-nucleon scattering are calculated in the limit of SU(3)-flavor symmetry at the physical strange-quark mass with Lattice Quantum Chromodynamics. The calculations…

High Energy Physics - Lattice · Physics 2013-08-28 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , P. Junnarkar , H. W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

In this study, we explore the interactions between mesons and baryons in the open heavy sectors to identify potential triple-heavy molecular pentaquarks. We derive the meson-baryon interaction potentials using the vector meson exchange…

High Energy Physics - Phenomenology · Physics 2024-10-17 Zhong-Yu Wang , Chu-Wen Xiao , Zhi-Feng Sun , Xiang Liu

The L\"uscher scattering formalism, the standard approach for relating the discrete finite-volume energy spectrum to two-to-two scattering amplitudes, fails when analytically continued so far below the infinite-volume two-particle threshold…

High Energy Physics - Lattice · Physics 2023-04-03 André Baião Raposo , Maxwell T. Hansen

We summarize our lattice QCD determinations of the pion-pion, pion-kaon and kaon-kaon s-wave scattering lengths at maximal isospin with a particular focus on the extrapolation to the physical point and the usage of next-to-leading order…

We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with $n$ degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real…

High Energy Physics - Phenomenology · Physics 2022-09-27 Johan Bijnens , Tomáš Husek , Mattias Sjö

We extend the 1/N_c expansion meson-baryon scattering formalism to cases in which the final state contains more than two particles. We first show that the leading-order large N_c processes proceed through resonant intermediate states (e.g.,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Herry J. Kwee , Richard F. Lebed

We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general $n$ degenerate flavours for the cases with a complex, real and pseudo-real representation. I.e. with global…

High Energy Physics - Phenomenology · Physics 2011-03-14 Johan Bijnens , Jie Lu

In this exploratory lattice study, low-energy scattering of the $(D\bar{D}^{*})^\pm$ meson system is analyzed using lattice QCD with $N_f=2$ twisted mass fermion configurations with three pion mass values. The calculation is performed…

We identify ``spurious'' states in meson-baryon scattering, those that appear in QCD for N_c > 3 but decouple for N_c = 3. The key observation is that the relevant flavor SU(3) Clebsch-Gordan coefficients contain factors of 1 - 3/N_c. We…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas D. Cohen , Richard F. Lebed

Discussing four-point Green functions of bilinear quark currents in large-$N_c$ QCD, we formulate rigorous criteria for selecting diagrams appropriate for the analysis of potential tetraquark poles. We find that both flavor-exotic and…

High Energy Physics - Phenomenology · Physics 2017-08-02 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

We discuss the quantization of the energy levels of two-particle scattering states in a finite volume in the case of Bloch-type boundary conditions. A generalization of the Luescher quantization condition is obtained that can be used in…

High Energy Physics - Lattice · Physics 2007-05-23 Giulia M. de Divitiis , Nazario Tantalo

We present the results of a systematic, first-principles study of the spectrum and decay constants of mesons for different numbers of color charges N, via lattice computations. We restrict our attention to states in the non-zero isospin…

High Energy Physics - Lattice · Physics 2013-06-25 Gunnar S. Bali , Francis Bursa , Luca Castagnini , Sara Collins , Luigi Del Debbio , Biagio Lucini , Marco Panero

We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the L\"uscher method. The resonance occurs in elastic pion-nucleon scattering with $J^P=3/2^+$ in the isospin $I = 3/2$, $P$-wave channel. Our calculation is…