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We present a lattice QCD study of the puzzling positive-parity nucleon channel, where the Roper resonance $N^*(1440)$ resides in experiment. The study is based on an ensemble of gauge configurations with $N_f=2+1$ Wilson-clover fermions…

高能物理 - 格点 · 物理学 2018-07-12 Luka Leskovec , Christian B. Lang , M. Padmanath , Sasa Prelovsek

We study the dependence of the pion-pion scattering phase shifts on the light quark mass in both standard and unitarized SU(2) Chiral Perturbation Theory (ChPT) to one and two loops. We then use unitarized SU(3) ChPT to study the elastic…

高能物理 - 唯象学 · 物理学 2015-05-20 J. Nebreda , J. R. Pelaez

We present an exploratory lattice QCD calculation of the neutrinoless double beta decay $\pi\pi\to ee$. Under the mechanism of light-neutrino exchange, the decay amplitude involves significant long-distance contributions. The calculation…

高能物理 - 格点 · 物理学 2019-01-23 Xu Feng , Lu-Chang Jin , Xin-Yu Tuo , Shi-Cheng Xia

We consider the low-energy particle-particle scattering properties in a periodic simple cubic crystal. In particular, we investigate the relation between the two-body scattering length and the energy shift experienced by the lowest-lying…

量子气体 · 物理学 2016-05-25 Manuel Valiente , Nikolaj Thomas Zinner

The $I=1$ $p$-wave and $I=2$ $s$-wave elastic $\pi$-$\pi$ scattering amplitudes are calculated from a first-principles lattice QCD simulation using a single ensemble of gauge field configurations with $N_{\mathrm{f}} = 2+1$ dynamical…

高能物理 - 格点 · 物理学 2016-08-24 John Bulava , Brendan Fahy , Ben Hörz , Keisuke J. Juge , Colin Morningstar , Chik Him Wong

We show that information about scattering data of a quantum field theory can be obtained from studying the system at finite density and low temperatures. In particular we consider models formulated on the lattice which can be exactly…

高能物理 - 格点 · 物理学 2015-12-16 Falk Bruckmann , Christof Gattringer , Thomas Kloiber , Tin Sulejmanpasic

In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

高能物理 - 格点 · 物理学 2023-09-20 Peng Guo , Vladimir Gasparian

We address the issue of bound state in the two-nucleon system in lattice QCD with the quenched approximation at the lattice spacing of a =0.128 fm using a heavy quark mass corresponding to m_pi = 0.8 GeV. To distinguish a bound state from…

高能物理 - 格点 · 物理学 2019-08-14 T. Yamazaki

In the Unitarity Limit, the NN S-wave binding energies are zero, the scattering lengths infinite, Physics is universal, i.e. insensitive to details of the interactions, and observables display richer symmetries, namely invariance under both…

核理论 · 物理学 2025-05-19 Harald W. Griesshammer

In this paper we propose to interpret the large discretization artifacts affecting the neutral pion mass in maximally twisted lattice QCD simulations as O(a^2) effects whose magnitude is roughly proportional to the modulus square of the…

高能物理 - 格点 · 物理学 2010-04-30 P. Dimopoulos , R. Frezzotti , C. Michael , G. C. Rossi , C. Urbach

We derive the leading exponential finite volume corrections in two dimensional integrable models for non-diagonal form factors in diagonally scattering theories. These formulas are expressed in terms of the infinite volume form factors and…

高能物理 - 理论 · 物理学 2019-09-04 Zoltan Bajnok , Marton Lajer , Balint Szepfalvi , Istvan Vona

Two-photon decays probe the structure of mesons and represent an important contribution to hadronic light-by-light scattering. For the neutral pion, the decay amplitude tests the effects of the chiral anomaly; for a heavy quarkonium state,…

高能物理 - 格点 · 物理学 2015-06-15 Harvey B. Meyer

This work presents a determination of potential short-distance contributions to the unphysical $\pi^-\rightarrow\pi^+ e^- e^-$ decay through lattice QCD calculations. The hadronic contributions to the transition amplitude are described by…

高能物理 - 格点 · 物理学 2023-05-17 William Detmold , William I. Jay , David J. Murphy , Patrick R. Oare , Phiala E. Shanahan

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 \times N_\tau lattices for…

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

We study nuclear and neutron matter by combining chiral effective field theory with non-perturbative lattice methods. In our approach nucleons and pions are treated as point particles on a lattice. This allows us to probe larger volumes,…

核理论 · 物理学 2009-11-10 Dean Lee , Bugra Borasoy , Thomas Schaefer

We study $\phi^4$ lattice field theory at finite chemical potential $\mu$ in two and four dimensions, using a worldline representation that overcomes the complex action problem. We compute the particle number at very low temperature as a…

高能物理 - 格点 · 物理学 2018-09-10 Oliver Orasch , Christof Gattringer , Mario Giuliani

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

高能物理 - 格点 · 物理学 2007-05-23 Andre Walker-Loud

We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

高能物理 - 格点 · 物理学 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

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…

高能物理 - 格点 · 物理学 2011-09-12 Keiko Murano , Noriyoshi Ishii , Sinya Aoki , Tetsuo Hatsuda

We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is…

高能物理 - 格点 · 物理学 2010-01-21 Sinya Aoki , Oliver Bar , Benedikt Biedermann