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We propose an effectively nonperturbative approach to calculating scattering amplitudes in the perturbative regime. We do this in a discretized momentum space by using the QSE method to calculate all the contributions (to all orders in…

High Energy Physics - Phenomenology · Physics 2018-07-20 Neil Christensen , Joshua Henderson , Santiago Pinto , Cory Russ

We present the first determination of $\rho \pi$ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 $\rho \pi$, we calculate…

High Energy Physics - Lattice · Physics 2018-07-16 Antoni J. Woss , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

Quartet n-d scattering lengths are calculated using second-generation nucleon-nucleon potential models. These results are compared to the corresponding quantity recently calculated using chiral perturbation theory.

Nuclear Theory · Physics 2014-11-18 J. L. Friar , D. Hüber , H. Witala , G. L. Payne

The $S$-wave scattering amplitudes of $J/\psi J/\psi$ with quantum numbers $J^{PC} = 0^{++}$ and $2^{++}$ are determined up to 6600\,MeV using lattice QCD calculations at $m_\pi \approx 420$ and 250\,MeV. The ${}^1S_0$ $J/\psi J/\psi$…

High Energy Physics - Lattice · Physics 2025-06-02 Geng Li , Chunjiang Shi , Ying Chen , Wei Sun

Using a variety of experimental results and lattice QCD calculations of $\pi\pi$ scattering lengths, while employing dispersive representations of the amplitude based on Roy equations, we compute the subthreshold parameters of this process.…

High Energy Physics - Phenomenology · Physics 2026-02-26 Marián Kolesár , Jaroslav Říha

We calculate the amplitude of pi-eta scattering in generalized chiral perturbation theory at the order O(p^4) and present preliminary results of the numerical analysis of the S-wave scattering length, which seems to be particularly…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Novotny , M. Kolesar

We study the effect of a finite volume for pion-pion scattering within Chiral Perturbation Theory (ChPT) and the Inverse Amplitude Method (IAM) in a $L^3$ box (rest frame). Our full ChPT calculation takes into account the discretization not…

High Energy Physics - Lattice · Physics 2026-01-13 A. Gómez Nicola , R. Molina , Julián A. Sánchez

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for…

High Energy Physics - Lattice · Physics 2015-12-02 Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa

We present preliminary results on the $\rho$ meson decay width from $N_f=2+1$ full QCD configurations generated by PACS-CS Collaboration. The decay width is estimated from the $P$-wave scattering phase shift for the isospin $I=1$ two-pion…

In this paper we investigate the effective scattering length $a$ of spin-polarized Ne*. Due to its anisotropic electrostatic interaction, its scattering length is determined by five interaction potentials instead of one, even in the…

Atomic Physics · Physics 2009-11-10 V. P. Mogendorff , E. J. D. Vredenbregt , B. J. Verhaar , H. C. W. Beijerinck

A dipole-dipole scattering amplitude is calculated exactly in the first two orders of perturbation theory. This amplitude is an analytic function of the relative energy and the dipoles' sizes. The cross section of the dipole-dipole…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alexander Babansky , Ian Balitsky

Using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, $KN$ scattering length in the I=1 channel is calculated within quenched approximation. The results are extrapolated towards the chiral and…

High Energy Physics - Lattice · Physics 2009-11-10 Guangwei Meng , Chuan Miao , Xining Du , Chuan Liu

The s-wave scattering length for elastic collisions between 87Rb atoms in the state |f,m_f>=|1,1> is measured in the vicinity of a Feshbach resonance near 1007 G. Experimentally, the scattering length is determined from the mean-field…

Condensed Matter · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Sebastian Ernst , Andreas Marte , Gerhard Rempe

We make use of the chiral two-loop representation of the pi K scattering amplitude [J. Bijnens, P. Dhonte and P. Talavera, JHEP 0405 (2004) 036] to investigate the isospin odd scattering length at next-to-next-to-leading order in the SU(3)…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. Schweizer

We consider two-component fermions with short-range interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion-fermion scattering…

Nuclear Theory · Physics 2017-03-15 Serdar Elhatisari , Kris Katterjohn , Dean Lee , Ulf-G. Meißner , Gautam Rupak

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

High Energy Physics - Lattice · Physics 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We extend the usual chiral perturbation theory framework ($\chi$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Soto , P. Talavera , J. Tarrús

The astrophysical $S$-factor for the radiative proton capture reaction on $^7$Be ($S_{17}$) at low energies is affected by the $s$-wave scattering lengths. We report the measurement of elastic and inelastic scattering cross sections for the…

We calculate the chiral corrections to the s-wave pseudoscalar meson octet-baryon scattering lengths $a_{MB}$ to ${\cal O}(p^3)$ in the SU(3) heavy baryon chiral perturbation theory (HB$\chi$PT). Hopefully the obtained analytical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yan-Rui Liu , Shi-Lin Zhu
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