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We discuss the general behavior of the scattering amplitude with channel couplings near the two-body threshold. It is known that the Flatt\'{e} amplitude, which is often used in the analysis of experimental data involving exotic hadrons,…

High Energy Physics - Phenomenology · Physics 2024-05-15 Katsuyoshi Sone , Tetsuo Hyodo

We discuss the general behavior of the near-threshold scattering amplitude with channel couplings. The signal of the exotic hadrons near the threshold may manifest as a dip structure in the cross section originated from a zero point of the…

High Energy Physics - Phenomenology · Physics 2025-03-04 Katsuyoshi Sone , Tetsuo Hyodo

We study the behavior of the cusp structures focusing on the isospin symmetry breaking effects. The properties of the exotic hadrons are reflected in the shape of the cusp structures. In realistic hadron scatterings, the threshold energies…

High Energy Physics - Phenomenology · Physics 2025-07-24 Katsuyoshi Sone , Tetsuo Hyodo

We study the behavior of the cusp structures focusing on the isospin-breaking effects. The properties of the near-threshold exotic hadrons are encoded in the shapes of the cusp structures. In hadron scattering, it is often the case that the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Katsuyoshi Sone , Tetsuo Hyodo

We analyzed the invariant mass spectrum of near-threshold exotic states for one-channel candidates with a deep neural network. It can extract the scattering length and effective range, which would shed light on the nature of given states,…

High Energy Physics - Phenomenology · Physics 2022-04-27 Jiahao Liu , Zhenyu Zhang , Jifeng Hu , Qian Wang

We describe an optical technique based on the statistical analysis of the random intensity distribution due to the interference of the near-field scattered light with the strong transmitted beam. It is shown that, from the study of the…

Optics · Physics 2009-11-10 Doriano Brogioli , Alberto Vailati , Marzio Giglio

Since 2003, plenty of resonant structures have been observed in the heavy quarkonium regime. Many of them are close to the thresholds of a few pairs of heavy hadrons. They are candidates of exotic hadrons and have attracted immense…

High Energy Physics - Phenomenology · Physics 2025-03-13 Zhen-Hua Zhang , Feng-Kun Guo

The impact of the form of the hadron potential at large distances on the behaviour of the hadron spin-flip amplitude at small angles is examined. The $t$-dependence of the spin-flip amplitude of high energy hadron elastic scattering is…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Predazzi , O. V. Selyugin

The doublet channel neutron-deuteron scattering amplitude is calculated in leading order effective field theory (EFT). It is shown that this amplitude does not depend on a constant contact interaction three-body force. Satisfactory…

Nuclear Theory · Physics 2009-11-07 B. Blankleider , J. Gegelia

The near-threshold exotic hadrons such as $T_{cc}$ and $X(3872)$ are naively considered as the hadronic molecular state from the viewpoint of the low-energy universality. However, it is also known that the elementary dominant state is not…

High Energy Physics - Phenomenology · Physics 2023-08-21 Tomona Kinugawa , Tetsuo Hyodo

We have proposed to use an effective theory to describe interactions of an $N\bar N$-system. The effective theory can be constructed in analogy to the existing effective theory for an $NN$-system. In this work we study the next-to-leading…

High Energy Physics - Phenomenology · Physics 2011-06-07 G. Y. Chen , J. P. Ma

An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

The observed enhancement of $p\bar p$-production near the threshold in radiative decays of $J/\psi$ and $e^+e^-$-annihilations can be explained with final state interactions among the produced $N\bar N$ system, where the enhancement is…

High Energy Physics - Phenomenology · Physics 2014-11-20 G. Y. Chen , H. R. Dong , J. P. Ma

Nuclear effective field theory is applied to the effective range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective range expansion in the same way as in the…

Nuclear Theory · Physics 2011-05-12 Ryoichi Seki , U. van Kolck

In this review, we present the current state of the art of our understanding of the spectrum of excited strongly interacting particles and discuss methods that allow for a systematic and model-independent calculation of the hadron spectrum.…

High Energy Physics - Phenomenology · Physics 2023-07-17 Maxim Mai , Ulf-G. Meißner , Carsten Urbach

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

We use the chiral effective field theory to study the lattice finite-volume energy levels from the meson-meson scattering. The hadron resonance properties and the scattering amplitudes at physical masses are determined from the lattice…

High Energy Physics - Lattice · Physics 2018-11-15 Zhi-Hui Guo , Liuming Liu , Ulf-G. Meissner , J. A. Oller , A. Rusetsky

A method is described for estimating effective scattering lengths via spectroscopy on a trapped pair of atoms. The method relies on the phenomena that the energy levels of two atoms in a harmonic trap are shifted by their collisional…

Quantum Physics · Physics 2009-11-11 S. Shresta , E. Tiesinga , C. J. Williams

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective…

Nuclear Theory · Physics 2008-11-26 U. van Kolck
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