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We calculate the complete $T$ matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting the phase shifts and…

High Energy Physics - Phenomenology · Physics 2023-01-27 Bo-Lin Huang , Zi-Yang Lin , Kan Chen , Shi-Lin Zhu

We compute the I=2 pi-pi scattering length at pion masses of m_pi ~ 294, 348 and 484 MeV in fully-dynamical lattice QCD using Luscher's finite-volume method. The calculation is performed with domain-wall valence-quark propagators on…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Paulo F. Bedaque , Kostas Orginos , Martin J. Savage

We theoretically investigate one-dimensional (1D) SU($\kappa$) fermions in the regime of spin-incoherent Luttinger liquid. We specifically focus on the Tonks-Girardeau gas limit where its density is sufficiently low that effective…

Quantum Gases · Physics 2018-07-23 H. H. Jen , S. -K. Yip

The $I=\frac{3}{2}$ $\pi K$ $s$-wave scattering phase shift is computed by lattice quantum chromodynamics with $N_f=3$ flavors of Asqtad-improved staggered fermions. The energy-eigenvalues of $\pi K$ systems at one center of mass frame and…

High Energy Physics - Lattice · Physics 2026-02-06 Ziwen Fu , Qu-Zhi Li , Jun Wang

In this work, we perform a lattice QCD calculation of the branching ratios and the form factors of radiative leptonic decays $P \to \ell \nu_\ell \gamma$ ($P = \pi, K$) using $N_f=2+1$ domain wall fermion ensembles generated by the RBC and…

High Energy Physics - Lattice · Physics 2026-04-29 Peter Boyle , Norman H. Christ , Xu Feng , Taku Izubuchi , Luchang Jin , Christopher T. Sachrajda , Xin-Yu Tuo

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are…

High Energy Physics - Lattice · Physics 2021-02-24 J. Lozano , A. Agadjanov , J. Gegelia , U. -G. Meißner , A. Rusetsky

We investigate the multi-channel 4-body scattering system using regularized 2- and 3-body contact interactions. The analysis determines the sensitivity of bound-state energies, scattering phase shifts and cross sections on the cutoff…

Nuclear Theory · Physics 2024-11-04 Sourav Mondal , Rakshanda Goswami , Udit Raha , Johannes Kirscher

We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions $d=2$ and $3$. This requires to approximate first the scattering field, for some incident…

Numerical Analysis · Mathematics 2021-07-27 Juan A. Barceló , Carlos Castro

Using a scattering length parametrization of the BCS-BEC crossover as well as the local density approximation for the density profile, we calculate the momentum distribution of a harmonically trapped atomic Fermi gas at zero temperature.…

Condensed Matter · Physics 2016-08-31 L. Viverit , S. Giorgini , L. P. Pitaevskii , S. Stringari

In this paper we report on results for the s-wave scattering length of the $\pi$-$K$ system in the $I=3/2$ channel from $N_f=2+1+1$ Lattice QCD. The calculation is based on gauge configurations generated by the European Twisted Mass…

We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matrix. In the unitary limit the scattering…

Quantum Gases · Physics 2015-05-20 André LeClair

An integral part of scattering theory calculations in continuum quantum systems involves identifying appropriate boundary conditions in addition to writing down the correct Hamiltonian. In the simplest problem of scattering in one…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Abhiram Soori

The elastic scattering differential cross section is calculated for proton scattering from $^6$He at 717 MeV, using single scattering terms of the multiple scattering expansion of the total transition amplitude (MST). We analyse the effects…

Nuclear Theory · Physics 2009-11-11 R. Crespo , A. M. Moro , I. J. Thompson

We calculate the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, and physical susceptibilities for a model of two-dimensional (2D) fermions with a short ranged interaction at…

Strongly Correlated Electrons · Physics 2009-11-07 Gennady Y. Chitov , Andrew J. Millis

We propose a systematic method to block-diagonalize the finite volume effective Hamiltonian for two-particle systems with arbitrary spin in both the rest and moving frame. The framework is convenient and efficient for addressing the…

High Energy Physics - Lattice · Physics 2025-12-19 Kang Yu , Guang-Juan Wang , Jia-Jun Wu , Zhi Yang

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one-…

Strongly Correlated Electrons · Physics 2015-05-13 J. M. P. Carmelo

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

High Energy Physics - Lattice · Physics 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

Saturation field entropies of antiferromagnetic Ising models on quasi one-dimensional lattices (ladders) and the kagome lattice are calculated. The former is evaluated exactly by constructing the corresponding transfer matrices, while the…

Statistical Mechanics · Physics 2013-10-31 Vipin Kerala Varma

Decay constants of pseudoscalar mesons $D$, $D_s$, $\eta_c$ and vector mesons $D^*$, $D_s^*$, $J/\psi$ are determined from $N_f=2+1$ lattice QCD at a lattice spacing $a\sim0.08$ fm. For vector mesons, the decay constants defined by tensor…

High Energy Physics - Lattice · Physics 2024-11-05 Donghao Li , Ying Chen , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Tingxiao Wang

It is well-known that exact enumerations of close-packed dimers can be carried out for two-dimensional lattices. While details of results are now known for most lattices, due to the unique nature of the lattice structure, there has been no…

Statistical Mechanics · Physics 2007-05-23 Fa Wang , F. Y. Wu