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Extensive dynamical $N/D$ calculations are made in the study of $S_{11}$ channel low energy $\pi$N scatterings, based on various phenomenological model inputs of left cuts at tree level. The subtleties of the singular behavior of the…

Nuclear Theory · Physics 2022-04-25 Qu-Zhi Li , Yao Ma , Wen-Qi Niu , Yu-Fei Wang , Han-Qing Zheng

A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao

Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real…

High Energy Physics - Lattice · Physics 2024-03-07 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

pi pi scattering at low energy is sensitive to the structure of the QCD vacuum. I review the calculations of the pi pi scattering lengths and phases, and group them in three cathegories: 1. those based on very general theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gilberto Colangelo

A theoretical study of the low-energy scattering properties of two aligned identical bosonic and fermionic dipoles in the presence of isotropic spin-orbit coupling (SOC) is presented. A general treatment of particles with arbitrary…

Quantum Gases · Physics 2018-05-02 Jia Wang , Christiaan R. Hougaard , Brendan C. Mulkerin , Xia-Ji Liu

A simple heuristic argument to understand the existence of complex branch points in the $\pi N$ scattering amplitude is presented. It is based on a hypothesis that the singularity structure of the $\pi N$ scattering amplitude is a smooth…

Nuclear Theory · Physics 2014-03-21 Shin Nan Yang

Higgs Effective Field Theory can be used to study vector-boson elastic scattering at the high energies relevant for the LHC. For most of the parameter space, the scattering is strongly interacting, with the minimal Standard Model being a…

High Energy Physics - Phenomenology · Physics 2018-08-15 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

In this paper, We find that the angular distribution of two-body decay and scattering process that can be studied by introducing the helicity method.It has been argued that the angular distribution only depends on magnitude of the decaying…

High Energy Physics - Phenomenology · Physics 2022-07-06 Hang Chen

The master formula approach to chiral symmetry breaking is used to analyze the phase shifts for $\pi\pi$ scattering in the elastic region. The results are in excellent agreement with the data for the phase shifts up to the K-K bar…

High Energy Physics - Phenomenology · Physics 2009-10-28 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large $N_c$ $\pi\pi$ scatterings by making use of the partial wave $S$ matrix parametrization form. We find that the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Z. X. Sun , L. Y. Xiao , Z. G. Xiao , H. Q. Zheng , Z. Y. Zhou

Scattering processes featuring the strong interactions can be studied using lattice QCD by means of the L\"uscher formalism. This approach relies on analyticity and unitarity of the $S$-matrix to relate infinite-volume scattering amplitudes…

High Energy Physics - Lattice · Physics 2026-04-01 A. Dean. M. Valois , M. Dai , A. El-Khadra , E. Gámiz , S. Lahert , R. Merino

We have recently completed the one loop calculation of meson-meson scattering within Chiral Perturbation Theory. Once unitarized, these amplitudes provide simultaneously a remarkable description of the resonance region up to 1.2 GeV as well…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals…

Other Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko

The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always possible to find localized modes for…

Materials Science · Physics 2021-01-20 Dani Torrent , Marc Martí-Sabaté

A Roy equation analysis of the available $\pi\pi$ phase shift data is performed with the $I=0$ S- wave scattering length $a^0_0$ in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , P. Büttiker

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We study two body dipolar scattering with one dimension of confinement. We include the effects of confinement by expanding this degree of freedom in harmonic oscillator states. We then study the properties of the resulting multi-channel…

Atomic Physics · Physics 2011-10-20 Christopher Ticknor

We predict polarimetric line profiles for scattering off rotating disks using a Monte Carlo technique. We have discovered that there is a marked difference between scattering of line emission by a disk that reaches the stellar surface, and…

Astrophysics · Physics 2009-11-10 Jorick S. Vink , Tim J. Harries , Janet E. Drew

We have recently constructed a many-body theory for composite excitons, in which the possible carrier exchanges between $N$ excitons can be treated exactly through a set of dimensionless ``Pauli scatterings'' between two excitons. Many-body…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Combescot , O. Betbeder-Matibet , F. Dubin

We discuss an approach to compute two-particle scattering amplitudes for spinless particles colliding at Planckian centre-of-mass energies, with increasing momentum transfer away from the eikonal limit. For electrically neutral particles,…

High Energy Physics - Theory · Physics 2015-06-26 Saurya Das , Parthasarathi Majumdar