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Detailed information of the low-energy interaction between the charmonia ({\eta}c and J/{\psi}) and the nucleon is indispensable for exploring the formation of charmonium bound to nuclei. In order to investigate the charmonium-nucleon…

High Energy Physics - Lattice · Physics 2011-04-20 Taichi Kawanai , Shoichi Sasaki

The nucleon-nucleon (NN) t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in…

Nuclear Theory · Physics 2009-11-06 I. Fachruddin , Ch. Elster , W. Glöckle

Based on the Lippmann-Schwinger equation approach, a generalized L\"uscher's formula in 1+1 dimensions for two particles scattering in both the elastic and coupled-channel cases in moving frames is derived. A 2D coupled-channel scattering…

High Energy Physics - Lattice · Physics 2013-08-09 Peng Guo

We analyze the peripheral structure of the nucleon-nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts $(L+1/2)…

Nuclear Theory · Physics 2018-03-14 I. Ruiz Simo , J. E. Amaro , E. Ruiz Arriola , R. Navarro Perez

Lattice quantum chromodynamics (LQCD) has the promise of constraining low-energy constants (LECs) of nuclear effective field theories (EFTs) from first-principles calculations that incorporate the dynamics of quarks and gluons. Given the…

High Energy Physics - Lattice · Physics 2022-05-25 Zohreh Davoudi , Saurabh V. Kadam

Lattice quantum chromodynamics is used to constrain the interactions of two octet baryons at the SU(3) flavor-symmetric point, with quark masses that are heavier than those in nature (equal to that of the physical strange quark mass and…

Scattering processes featuring the strong interactions can be studied using lattice QCD by means of the L\"uscher formalism. This approach relies on analyticity and unitarity of the $S$-matrix to relate infinite-volume scattering amplitudes…

High Energy Physics - Lattice · Physics 2026-04-01 A. Dean. M. Valois , M. Dai , A. El-Khadra , E. Gámiz , S. Lahert , R. Merino

We discuss the extraction of the electromagnetic and spin polarisabilities of nucleons from lattice QCD. We show that the external field method can be used to measure all the electromagnetic and spin polarisabilities including those of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Detmold , B. C. Tiburzi , A. Walker-Loud

We present a generalization of the relativistic, finite-volume, three-particle quantization condition for non-identical pions in isosymmetric QCD. The resulting formalism allows one to use discrete finite-volume energies, determined using…

High Energy Physics - Lattice · Physics 2021-01-01 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

We investigate the feasibility of extracting infinite volume scattering phase shift on quantum computers in a simple one-dimensional quantum mechanical model, using the formalism established in Ref.~\cite{Guo:2023ecc} that relates the…

Quantum Physics · Physics 2026-03-09 Peng Guo , Paul LeVan , Frank X. Lee , Yong Zhao

We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_\pi\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and…

Nuclear Theory · Physics 2016-07-20 V. Baru , E. Epelbaum , A. A. Filin

Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the $\pi^+\pi^+$ scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here…

High Energy Physics - Lattice · Physics 2022-08-31 Norman Christ , Xu Feng , Joseph Karpie , Tuan Nguyen

We investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of $\beta$ and $ma$ at the lattice size…

High Energy Physics - Lattice · Physics 2015-07-29 Rui Wang , Ying Chen , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Xiang-Fei Meng , Jian-Bo Zhang

Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable…

Nuclear Theory · Physics 2021-06-09 Xiu-Lei Ren , Chun-Xuan Wang , Kai-Wen Li , Li-Sheng Geng , Jie Meng

Standard Model determinations of properties of strongly interacting systems of hadrons have become possible with the powerful method of lattice quantum chromodynamics (LQCD), a method with growing applicability and reliability. While growth…

High Energy Physics - Lattice · Physics 2019-01-01 Zohreh Davoudi

We use lattice QCD simulations, with MILC configurations (including vacuum polarization from u, d, and s quarks), to update our previous determinations of the QCD coupling constant. Our new analysis uses results from 6 different lattice…

High Energy Physics - Lattice · Physics 2009-01-08 C. T. H. Davies , K. Hornbostel , I. D. Kendall , G. P. Lepage , C. McNeile , J. Shigemitsu , H. Trottier

This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L\"uscherlike finite volume formula for it. The latter…

High Energy Physics - Lattice · Physics 2007-05-23 Johan Bijnens , Niclas Danielsson , Karim Ghorbani , Timo Lähde

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…

By the quenched lattice QCD simulation for two nucleons with finite scattering energy, validity of the delivative expansion of the general nucleon-nucleon potential U(r,r') = V(r, {\nabla}_r) \delta^3(r-r') is studied. The relative kinetic…

High Energy Physics - Lattice · Physics 2011-09-12 Keiko Murano , Noriyoshi Ishii , Sinya Aoki , Tetsuo Hatsuda

We report isovector form factors and low moments of isovector structure functions of nucleon from the coarse RIKEN-BNL-Columbia (RBC) and UKQCD joint dynamical (2+1)-flavor domain-wall fermions (DWF) ensembles. The lattice cut off is…

High Energy Physics - Lattice · Physics 2008-10-02 Shigemi Ohta , Takeshi Yamazaki