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Using the point-form approach to relativistic quantum mechanics, a covariant framework is presented for the calculation of proton and neutron electromagnetic form factors. Results for charge radii, magnetic moments, and electric as well as…

Nuclear Theory · Physics 2016-11-23 M. Radici

Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique…

Computational Physics · Physics 2008-04-14 Jaan Kalda

We derive and prove an explicit formula for the sum of the fractional parts of certain geometric series. Although the proof is straightforward, we have been unable to locate any reference to this result. This summation formula allows us to…

Dynamical Systems · Mathematics 2021-09-15 J. J. P. Veerman , L. S. Fox , P. J. Oberly

We present our progress on the computation of the axial form factor of the nucleon with flavour structure $u+d-2s$ from lattice QCD. We employ a set of $N_f=2+1$ CLS ensembles with $O(a)$-improved Wilson fermions and the L\"uscher-Weisz…

The forced soliton equation is the starting point for semiclassical computations with solitons away from the small momentum transfer regime. This paper develops necessary analytical and numerical tools for analyzing solutions to the forced…

High Energy Physics - Theory · Physics 2025-01-07 Zachary J. Allamon , Quentin A. Hales , Andrew B. Royston , Douglas L. Rutledge , Erica A. Yozie

The extraction of the magnetic form factor of the nucleon at zero momentum transfer is usually performed by adopting a parametrization for its momentum dependence and fitting the results obtained at finite momenta. We present a position…

High Energy Physics - Lattice · Physics 2016-11-08 Constantia Alexandrou , Martha Constantinou , Giannis Koutsou , Konstantin Ottnad , Marcus Petschlies

We calculate electric and magnetic form factors of protons and neutrons in quenched Monte Carlo lattice QCD on a $16^3\times 24$ lattice at $\beta = 6.0$ using Wilson fermions. We employ a method which characterizes one of the nucleon…

High Energy Physics - Lattice · Physics 2008-11-26 Walter Wilcox , Terrence Draper , Keh-Fei Liu

We present a calculation of the $D\to K \ell \nu$ and $D\to\pi \ell \nu$ semileptonic form factors at $q^2=0$, which enable determinations of the CKM matrix elements $\lvert{V_{cs}}\rvert$ and $\lvert{V_{cd}}\rvert$, respectively. We use…

We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to \pi\ell\nu$, $B\to D \ell\nu$, $B_s\to K\ell \nu$, and $B_s\to D_s\ell\nu$ decays. Our calculation is based on…

High Energy Physics - Lattice · Physics 2019-12-23 Jonathan Flynn , Ryan Hill , Andreas Jüttner , Amarjit Soni , Justus Tobias Tsang , Oliver Witzel

Percolation models with multiple percolating clusters have attracted much attention in recent years. Here we use Monte Carlo simulations to study bond percolation on $L_{1}\times L_{2}$ planar random lattices, duals of random lattices, and…

Statistical Mechanics · Physics 2016-08-31 Hsiao-Ping Hsu , Simon C. Lin , Chin-Kun Hu

The confinement of critical fluctuations in soft media induces critical Casimir forces acting on the confining surfaces. The temperature and geometry dependences of such forces are characterized by universal scaling functions. A novel…

Statistical Mechanics · Physics 2008-01-10 O. Vasilyev , A. Gambassi , A. Maciolek , S. Dietrich

We present a 2+1--flavor lattice QCD calculation of the electromagnetic Dirac and Pauli form factors of the octet baryons. The magnetic Sachs form factor is extrapolated at six fixed values of $Q^2$ to the physical pseudoscalar masses and…

High Energy Physics - Lattice · Physics 2017-01-10 P. E. Shanahan , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben , A. W. Thomas , R. D. Young , J. M. Zanotti

Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique…

Computational Physics · Physics 2013-03-05 Indrek Mandre , Jaan Kalda

Form factors of composite operators in the SL(2) sector of N=4 SYM theory are studied up to two loops via the on-shell unitarity method. The non-compactness of this subsector implies the novel feature and technical challenge of an unlimited…

High Energy Physics - Theory · Physics 2017-01-06 Florian Loebbert , Christoph Sieg , Matthias Wilhelm , Gang Yang

We present a calculation of the vector-isovector timelike form-factors of the pion and the kaon using lattice quantum chromodynamics. We calculate two-point correlation functions with $m_\pi \sim 280$ MeV, extracting both the finite-volume…

High Energy Physics - Lattice · Physics 2024-07-31 Felipe Ortega-Gama , Jozef Dudek , Robert Edwards

We continue our investigation of the Baxter-Bazhanov-Stroganov or \tau^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive for the first time the factorized formula for…

Exactly Solvable and Integrable Systems · Physics 2008-04-14 G. von Gehlen , N. Iorgov , S. Pakuliak , V. Shadura , Yu. Tykhyy

Nucleon form factors have been extensively studied both experimentally and theoretically for many years. We report here on new results of a high statistics quenched lattice QCD calculation of vector and axial-vector nucleon form factors at…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , B. Klaus , H. Oelrich , H. Perlt , D. Petters , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , P. Stephenson

Monte Carlo techniques play a central role in statistical mechanics approaches for connecting macroscopic thermodynamic and kinetic properties to the electronic structure of a material. This paper describes the implementation of Monte Carlo…

Materials Science · Physics 2023-09-22 Brian Puchala , John C. Thomas , Anton Van der Ven

We calculate the kaon semileptonic form factors in lattice QCD with three flavors of dynamical overlap quarks. Gauge ensembles are generated at pion masses as low as 290 MeV and at a strange quark mass near its physical value. We precisely…

High Energy Physics - Lattice · Physics 2012-11-28 JLQCD Collaboration , T. Kaneko , S. Aoki , G. Cossu , X. Feng , H. Fukaya , S. Hashimoto , J. Noaki , T. Onogi

Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors - matrix elements of the spin operator in the basis of common eigenstates of the transfer matrix and translation…

Mathematical Physics · Physics 2011-04-19 N. Iorgov , O. Lisovyy
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