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Related papers: $I=2$ $\pi\pi$ scattering phase shift from the HAL…

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The scattering phase shift encodes a good amount of physical information which can be used to study resonances from scattering data. Among others, it can be used to calculate the continuum density of states and the collision time in a…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Nowakowski , N. G. Kelkar

We construct energy independent but non-local potentials above inelastic thresholds, in terms of Nambu-Bethe-Salpeter wave functions defined in quantum field theories such as QCD. As an explicit example, we consider NN --> NN + n pi…

High Energy Physics - Lattice · Physics 2013-03-14 Sinya Aoki , Bruno Charron , Takumi Doi , Tetsuo Hatsuda , Takashi Inoue , Noriyoshi Ishii

The accuracy of the lattice QCD computation of hadron-hadron scattering at low isospin depends critically on the ability to compute correlation functions with fermionic disconnected Wick contractions. This happens, for instance, in isospin…

High Energy Physics - Lattice · Physics 2019-05-07 N. Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

pi pi scattering at low energy is sensitive to the structure of the QCD vacuum. I review the calculations of the pi pi scattering lengths and phases, and group them in three cathegories: 1. those based on very general theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gilberto Colangelo

The scattering phase-shifts are invariant under unitary transformations of the Hamiltonian. However, the numerical solution of the scattering problem that requires to discretize the continuum violates this phase-shift invariance among…

Nuclear Theory · Physics 2020-02-12 María Gómez-Rocha , Enrique Ruiz Arriola

In this paper, the np - scattering phase shifts and cross section for S,P and D partial waves have been obtained for energies below the pion threshold, by considering Deng-Fan potential as model of interaction. The radial time independent…

Nuclear Theory · Physics 2023-10-03 Ayushi Awasthi , O. S. K. S Sastri

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for $1\to2$ transition matrix elements in a finite…

Progress in computing the hadron spectrum in lattice QCD using stochastic LapH quark propaga- tors is described. The stochastic LapH algorithm is a particular quark smearing algorithm that also allows the computation of all-to-all quark…

High Energy Physics - Lattice · Physics 2013-01-24 John Bulava , Justin Foley , Keisuke J. Juge , Colin J. Morningstar , Brendan Fahy , You-Cyuan Jhang , David Lenkner , Chik Him Wong

We calculate the two-pion wave function for the I=2 $S$-wave two-pion system with a finite scattering momentum and estimate the interaction range between two pions. It allows us to examine the validity of the necessary condition for the…

High Energy Physics - Lattice · Physics 2008-11-26 Kiyoshi Sasaki , Naruhito Ishizuka

Following Polchinski and Strassler [1] and our previous work [2], we study high-energy pion scattering in the holographic QCD hard-wall model. In particular, we focus on comparing our predictions for the angular dependence of $\pi^{+}…

High Energy Physics - Phenomenology · Physics 2026-04-08 Adi Armoni , Dorin Weissman

We perform an analysis of Lattice QCD data in the open-charm sector based on the chiral SU(3) Lagrangian. The low-energy constants are adjusted to recover the open-charm meson masses on Lattice QCD ensembles from HPQCD, ETMC and HSC with…

High Energy Physics - Phenomenology · Physics 2023-01-11 Matthias F. M. Lutz , Xiao-Yu Guo , Yonggoo Heo , C. L. Korpa

In this article we present a method to compute the scattering states of holes in spherical bands in the strong spin-orbit coupling regime. More precisely, we calculate scattering phase shifts and amplitudes of holes induced by defects in a…

Materials Science · Physics 2007-05-23 P. Bogdanski , H. Ouerdane

In this work, the phase function method (PFM) is employed for the first time to explicitly construct scattering wavefunctions for the $\alpha\alpha$ system using a single-term Morse potential. Unlike earlier PFM-based studies that primarily…

Nuclear Theory · Physics 2026-02-24 Anil Khachi , Shikha Awasthi , Tarachand Verma , Ranjana Joshi

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

High Energy Physics - Lattice · Physics 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

The real and imaginary scattering phase shifts (SPS) and potentials for $\ell=0,2,4$ partial waves have been obtained by developing a novel algorithm$^{\ref{Fig1}}$ to derive inverse potentials using a phenomenological approach. The phase…

Nuclear Theory · Physics 2024-12-20 Shikha Awasthi , Ishwar Kant , Anil Khachi , O. S. K. S. Sastri

Central idea: To obtain the interaction potential using the inverse scattering method, we have employed the Physics-Informed Machine Learning (PIML) approach. In this framework, the machine learning algorithm is guided by the underlying…

Distance-dependent phase shifts, amplitude functions, and radial wave functions for neutron-alpha elastic scattering are studied using the Variable Phase Approach. The microscopic KKNN potential is employed to calculate scattering…

Nuclear Theory · Physics 2025-12-16 Anil Khachi

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

We conduct a two-flavor ($N_f=2$) lattice QCD calculation of the elastic phase-shifts for pion-pion scattering in the scalar, isoscalar channel (the $\sigma$-meson). The calculation is performed for two quark masses corresponding to a pion…

High Energy Physics - Lattice · Physics 2018-07-18 Dehua Guo , Andrei Alexandru , Raquel Molina , Maxim Mai , Michael Döring

Analyzing the pion-mass dependence of $\pi\pi$ scattering phase shifts beyond the low-energy region requires the unitarization of the amplitudes from chiral perturbation theory. In the two-flavor theory, unitarization via the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Malwin Niehus , Martin Hoferichter , Bastian Kubis , Jacobo Ruiz de Elvira