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In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times…

核理论 · 物理学 2013-05-30 Joan Soto , Jaume Tarrús

Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved…

高能物理 - 格点 · 物理学 2015-06-04 Kathryn Polejaeva , Akaki Rusetsky

In a recent paper by Xiu-Li Gao, Zhi-Hui Guo, Zhiguang Xiao, and Zhi-Yong Zhou, Phys. Rev. D 105, 094002 (2022), here referred to as I, $S$-wave $\pi\pi$ scattering phase shifts obtained in a lattice-QCD calculation are analyzed using…

高能物理 - 唯象学 · 物理学 2023-03-10 Eef van Beveren , George Rupp

Various aspects of the application of Effective Field Theory (EFT) to the Nucleon-Nucleon (NN) interaction are considered. We look for contributions beyond One Pion Exchange which are predicted by Chiral Symmetry. Using the formalism of the…

高能物理 - 唯象学 · 物理学 2007-05-23 Keith G. Richardson

We calculate the two-pion wave function in the ground state of the I=2 $S$-wave system and find the interaction range between two pions, which allows us to examine the validity of the necessary condition for the finite-volume method for the…

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

核理论 · 物理学 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

We study the lattice cutoff ($a$) and quark mass dependences of pion masses and decay constants in the $N_f = 2$ twisted mass QCD, using the Wilson chiral perturbation theory to the next leading order (NLO). In order to investigate the…

高能物理 - 格点 · 物理学 2011-11-02 Satoru Ueda , Sinya Aoki

We compute the perturbative expression of Wilson loops up to order $g^4$ for SU($N$) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible…

高能物理 - 格点 · 物理学 2017-08-03 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

In the absence of a genuine solution to the sign problem, lattice studies at imaginary quark chemical potential are an important tool to constrain the QCD phase diagram. We calculate the values of the tricritical quark masses in the…

高能物理 - 格点 · 物理学 2020-01-23 Owe Philipsen , Alessandro Sciarra

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…

高能物理 - 格点 · 物理学 2009-11-10 M. Procura , T. R. Hemmert , W. Weise

Based on the operatorial formulation of the perturbation theory, the exciton-phonon problem is revisited for investigating exciton-mediated energy flow in a finite-size lattice. Within this method, the exciton-phonon entanglement is taken…

化学物理 · 物理学 2015-06-12 Vincent J. C. Pouthier

We study the scaling of meson-meson scattering amplitudes with the number of colors, $N_\text{c}$. We use lattice calculations in a theory with $N_\text{f}=4$ degenerate flavors, with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 560$ MeV.…

高能物理 - 格点 · 物理学 2025-09-04 Jorge Baeza-Ballesteros , Pilar Hernández , Fernando Romero-López

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}.…

核理论 · 物理学 2010-12-16 M. Lutz

One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}$, is the distortion due to a finite spatial volume.…

高能物理 - 格点 · 物理学 2020-11-25 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

The study of real-time evolution of lattice quantum field theories using classical computers is known to scale exponentially with the number of lattice sites. Due to a fundamentally different computational strategy, quantum computers hold…

量子物理 · 物理学 2022-11-22 Christopher Kane , Dorota M. Grabowska , Benjamin Nachman , Christian W. Bauer

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N_sigma^3 X N_tau lattices for N_tau…

高能物理 - 格点 · 物理学 2009-10-31 Rajiv V. Gavai

We study vector-boson scattering of the physical, gauge-invariant states in a reduced standard-model setup on the lattice for various parameter sets. To this end, the phase shift in the scalar channel is determined using a L\"uscher-type…

高能物理 - 格点 · 物理学 2022-07-05 Patrick Jenny , Axel Maas , Bernd Riederer

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are…

核理论 · 物理学 2020-03-18 X. -L. Ren , E. Epelbaum , J. Gegelia

A calculational scheme for obtaining the electric polarizability of the neutron in lattice QCD with dynamical quarks is developed, using the background field approach. The scheme differs substantially from methods previously used in the…

高能物理 - 格点 · 物理学 2008-11-26 Michael Engelhardt

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…

核理论 · 物理学 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner