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We study the $S$-wave $D\bar{D}^*(I=0)$ scattering at four different pion masses $m_\pi$ ranging from 250 MeV to 417 MeV from $N_f=2$ lattice QCD. Three energy levels $E_{2,3,4}$ are extracted at each $m_\pi$. The analysis of $E_{2,3}$…

High Energy Physics - Lattice · Physics 2024-08-27 Haozheng Li , Chunjiang Shi , Ying Chen , Ming Gong , Juzheng Liang , Zhaofeng Liu , Wei Sun

We deliver a lattice study of $\rho$ resonance parameters with p-wave $\pi\pi$ scattering phases, which are extracted by finite-size methods at one center-of-mass frame and four moving frames for six MILC lattice ensembles with pion masses…

High Energy Physics - Lattice · Physics 2016-08-29 Ziwen Fu , Lingyun Wang

Elastic $I=1/2$, $s$- and $p$-wave $K\pi$ scattering amplitudes are simultaneously calculated using a L\"uscher style analysis on a single ensemble of dynamical Wilson-clover fermions at $m_\pi \sim 230$ MeV. Partial wave mixing due to the…

High Energy Physics - Lattice · Physics 2019-02-22 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar

Measurements of elastic scattering of 21.5 MeV pi+ and pi- by Si, Ca, Ni and Zr were made using a single arm magnetic spectrometer. Absolute calibration was made by parallel measurements of Coulomb scattering of muons. Parameters of a…

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

We extract to high statistical precision an excited spectrum of single-particle isoscalar mesons using lattice QCD, including states of high spin and, for the first time, light exotic JPC isoscalars. The use of a novel quark field…

High Energy Physics - Lattice · Physics 2011-06-24 Jozef J. Dudek , Robert G. Edwards , Balint Joo , Michael J. Peardon , David G. Richards , Christopher E. Thomas

Low energy proton-proton scattering is studied in pionless effective field theory. Employing the dimensional regularization and MS-bar and power divergence subtraction schemes for loop calculation, we calculate the scattering amplitude in…

Nuclear Theory · Physics 2008-11-26 Shung-ichi Ando , Jae Won Shin , Chang Ho Hyun , Seung Woo Hong

We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called…

High Energy Physics - Lattice · Physics 2016-11-01 Michael Döring , Bin Hu , Maxim Mai

The J-matrix method of scattering is used to obtain analytic expressions for the phase shift of two classes of relativistic exponential-type separable potentials whose radial component is either of the general form r^(n-1)exp(-r) or…

Mathematical Physics · Physics 2009-11-07 A. D. Alhaidari

We present a method for efficiently finding solutions of L\"uscher's quantisation condition, the equation which relates two-particle scattering amplitudes to the discrete spectrum of states in a periodic spatial volume of finite extent such…

High Energy Physics - Lattice · Physics 2020-07-01 Antoni J. Woss , David J. Wilson , Jozef J. Dudek

Phase shifts and resonance parameters can be obtained from finite-volume lattice spectra for interacting pairs of particles, moving with nonzero total momentum. We present a simple derivation of the method that is subsequently applied to…

High Energy Physics - Lattice · Physics 2012-11-07 M. Döring , U. -G. Meißner , E. Oset , A. Rusetsky

Pi-Pi scattering is investigated for the first time for Nf=2+1+1 dynamical quark flavours using Wilson twisted mass fermions. L\"uscher's finite size method is used to relate energy shifts in finite volume to scattering quantities like the…

High Energy Physics - Lattice · Physics 2014-12-02 Christopher Helmes , Christian Jost , Bastian Knippschild , Liuming Liu , Carsten Urbach , Markus Werner

We present results for the isospin-0 $\pi\pi$ s-wave scattering length calculated with Osterwalder-Seiler valence quarks on Wilson twisted mass gauge configurations. We use three $N_f = 2$ ensembles with unitary (valence) pion mass at its…

We evaluate energy levels of the K-pi system in the K* channel in finite volume using chiral unitary theory. We use these energy levels to obtain K-pi phase shifts, and then obtain the K* mass and its decay width. We investigate their…

High Energy Physics - Lattice · Physics 2015-05-15 Dan Zhou , Er-Liang Cui , Hua-Xing Chen , Li-Sheng Geng , Li-Hua Zhu

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

High Energy Physics - Lattice · Physics 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

We present a study using the distillation method to analyze the spectra of nucleon, nucleon-pion, and nucleon-pion-pion states in the positive-parity sector, as well as nucleon and nucleon-pion states in the negative-parity sector. The…

High Energy Physics - Lattice · Physics 2024-12-24 Andreas Hackl , Christoph Lehner

Luscher has shown that in single channel problem (elastic region below first inelastic threshold) there exists a direct link between the discrete value of the energy in a finite QCD volume and the scattering phase shift at the same energy.…

High Energy Physics - Phenomenology · Physics 2014-01-10 Alfred Svarc

Effective symmetry-based transition operators for resonant inelastic X-ray scattering (RIXS) are derived that show how the scattering between different states depends on the polarization of the incoming and outgoing X-rays. In spherical…

Strongly Correlated Electrons · Physics 2011-06-06 Michel van Veenendaal

We study the pion-nucleon system in s-wave in the framework of lattice QCD in order to gain new information on the nucleon excited states. We perform simulations for $n_f =2$ mass degenerate light quarks at a pion mass of 266 MeV. The…

High Energy Physics - Lattice · Physics 2013-04-19 C. B. Lang , V. Verduci

The ability to reliably measure the energy of an excited hadron in Lattice QCD simulations hinges on the accurate determination of all lower-lying energies in the same symmetry channel. These include not only single-particle energies, but…

High Energy Physics - Lattice · Physics 2015-05-18 J. Foley , J. Bulava , K. J. Juge , C. Morningstar , M. Peardon , C. H. Wong