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Properties of the proton and neutron are studied in partially-quenched chiral perturbation theory at finite lattice spacing. Masses, magnetic moments, the matrix elements of isovector twist-2 operators and axial-vector currents are examined…

High Energy Physics - Lattice · Physics 2009-11-10 Silas R. Beane , Martin J. Savage

We present recent Monte Carlo data for the axial charge of the nucleon obtained by the QCDSF-UKQCD collaboration for N_f=2 dynamical quarks. We compare them with formulae from chiral perturbation theory in finite and infinite volume and…

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

Quenched lattice QCD simulations and quenched chiral perturbation theory are used together for this study of strangeness in the nucleon. Dependences of the matrix elements on strange quark mass, valence quark mass and momentum transfer are…

High Energy Physics - Phenomenology · Physics 2009-11-07 Randy Lewis , W. Wilcox , R. M. Woloshyn

It is shown that the strong volume-dependence of the axial charge of the nucleon seen in lattice QCD calculations can be understood quantitatively in terms of the pion-induced interactions between neighbouring nucleons. The associated wave…

High Energy Physics - Lattice · Physics 2012-05-09 N. L. Hall , A. W. Thomas , R. D. Young , J. M. Zanotti

Excited-state contamination is one of the dominant uncertainties in lattice calculations of the nucleon axial-charge, $g_A$. Recently published results in leading-order chiral perturbation theory (ChPT) predict the excited-state…

High Energy Physics - Lattice · Physics 2018-03-14 Maxwell T. Hansen , Harvey B. Meyer

We calculate the scalar and tensor charges of the nucleon in 2+1-flavor lattice QCD, for which the systematics of the renormalization of the disconnected diagram is well controlled. Numerical simulations are performed at a single lattice…

High Energy Physics - Lattice · Physics 2018-09-27 Nodoka Yamanaka , Shoji Hashimoto , Takashi Kaneko , Hiroshi Ohki

We present a quenched lattice calculation of the nucleon isovector vector and axial-vector charges gV and gA. The chiral symmetry of domain wall fermions makes the calculation of the nucleon axial charge particularly easy since the…

High Energy Physics - Lattice · Physics 2019-08-15 Shoichi Sasaki , Kostas Orginos , Shigemi Ohta , Tom Blum

We study lattice QCD with staggered sea and Ginsparg-Wilson valence quarks. The Symanzik effective action for this mixed lattice theory, including the lattice spacing contributions of O(a^2), is derived. Using this effective theory we…

High Energy Physics - Lattice · Physics 2009-11-11 Oliver Baer , Claude Bernard , Gautam Rupak , Noam Shoresh

We determine the nucleon axial, scalar and tensor charges within lattice Quantum Chromodynamics including all contributions from valence and sea quarks. We analyze three gauge ensembles simulated within the twisted mass formulation at…

High Energy Physics - Lattice · Physics 2020-10-07 C. Alexandrou , S. Bacchio , M. Constantinou , K. Hadjiyiannakou , K. Jansen , G. Koutsou , A. Vaquero Aviles-Casco

We present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and…

Nuclear Theory · Physics 2018-10-24 Ning Li , Serdar Elhatisari , Evgeny Epelbaum , Dean Lee , Bing-Nan Lu , Ulf-G. Meißner

We present a dedicated analysis of the influence of excited states on the calculation of nucleon matrix elements. This calculation is performed at a fixed value of the lattice spacing, volume and pion mass that are typical of contemporary…

High Energy Physics - Lattice · Physics 2015-05-30 Simon Dinter , Constantia Alexandrou , Martha Constantinou , Vincent Drach , Karl Jansen , Dru B. Renner

We investigate the quark mass dependence of the nucleon mass M_N. An interpolation of this observable, between a selected set of fully dynamical two-flavor lattice QCD data and its physical value, is studied using relativistic baryon chiral…

High Energy Physics - Lattice · Physics 2009-11-10 M. Procura , T. R. Hemmert , W. Weise

In these proceedings we discuss recent progress in nucleon structure using lattice QCD simulations at or near the physical value of the pion mass. Main focus will be given in observables such as the nucleon axial charge and the first…

High Energy Physics - Lattice · Physics 2017-01-12 Martha Constantinou

Matrix elements of six-quark operators are needed to extract new physics constraints from experimental searches for neutron-antineutron oscillations. This work presents in detail the first lattice quantum chromodynamics calculations of the…

High Energy Physics - Lattice · Physics 2019-05-20 Enrico Rinaldi , Sergey Syritsyn , Michael L. Wagman , Michael I. Buchoff , Chris Schroeder , Joseph Wasem

We summarize developments concerning the quark mass dependence of nucleon magnetic moments and the axial-vector coupling constant g_A. The aim is to explore the feasibility of chiral effective field theory methods for the extrapolation of…

High Energy Physics - Lattice · Physics 2009-11-10 Thomas R. Hemmert , Massimiliano Procura , Wolfram Weise

We determine the nucleon axial, scalar and tensor charges and the nucleon $\sigma$-terms using twisted mass fermions. We employ three ensembles with approximately equal physical volume of about 5.5~fm, three values of the lattice spacing,…

High Energy Physics - Lattice · Physics 2024-12-03 C. Alexandrou , S. Bacchio , J. Finkenrath , C. Iona , G. Koutsou , Y. Li , G. Spanoudes

We extend chiral perturbation theory to include linear dependence on the lattice spacing $a$ for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass $m_q$ and lattice spacing $a$. We present…

High Energy Physics - Lattice · Physics 2009-11-07 Gautam Rupak , Noam Shoresh

Complete flavour decompositions of the scalar, axial and tensor charges of the proton, deuteron, diproton and $^3$He at SU(3)-symmetric values of the quark masses corresponding to a pion mass $m_\pi\sim806$ MeV are determined using lattice…

The nuclear lattice effective field theory (NLEFT) is an efficient tool for solving nuclear many-body problems, which takes high-fidelity lattice chiral interactions as input and computes nuclear low-energy observables via quantum Monte…

Nuclear Theory · Physics 2026-01-07 Chengxin Wu , Teng Wang , Bing-Nan Lu , Ning Li
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