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In contrast to the common wisdom, we discover that, instead of the exponential fall-off of the form factors with Regge-pole structure, the high-energy scattering amplitudes of string scattered from Domain-wall behave as power-law with…

High Energy Physics - Theory · Physics 2007-05-23 Chuan Tsung Chan , Jen-Chi Lee , Yi Yang

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

With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the $d\sigma/dt$ data at $\sqrt{s}$= 13 TeV for all values of the momentum transfer, with…

High Energy Physics - Phenomenology · Physics 2021-03-25 E. Ferreira , A. K. Kohara , T. Kodama

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

Mathematical Physics · Physics 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group,…

High Energy Physics - Theory · Physics 2019-05-01 Rishabh Jha , Chethan Krishnan , K. V. Pavan Kumar

We study the AdS Virasoro-Shapiro amplitude in the limit of fixed-angle high energy scattering. A recent representation as a world-sheet integral allows to compute the amplitude in this regime by saddle point techniques, very much as in…

High Energy Physics - Theory · Physics 2024-02-16 Luis F. Alday , Tobias Hansen , Maria Nocchi

We obtain global well-posedness, scattering, and global $L_t^4H_{x}^{1,4}$ spacetime bounds for energy-space solutions to the energy-subcritical nonlinear Schr\"odinger equation \[iu_t+\Delta u=u(e^{4\pi |u|^2}-1)\] in two spatial…

Analysis of PDEs · Mathematics 2015-11-12 Alexander Adam Azzam

A very review of string scattering amplitudes in two important high energy limits: hard scattering and Regge scattering. Recent results of the symmetries in string theory by studying high energy string scattering anplitudes are showed.

High Energy Physics - Theory · Physics 2011-12-30 Yi Yang , Jenchi Lee

We consider a dual $S$-matrix Bootstrap approach in $d\geq 3$ space-time dimensions which relies solely on the rigorously proven analyticity, crossing, and unitarity properties of the scattering amplitudes. As a proof of principle, we…

High Energy Physics - Theory · Physics 2022-01-05 Andrea Guerrieri , Amit Sever

The measurements of high energy \bar p p and pp elastic at ISR, SPS and Tevatron colliders have provided usefull informations on the behavior of the scattering amplitude. A large step in energy domain is accomplished with the LHC collider…

High Energy Physics - Phenomenology · Physics 2015-06-15 Jacques Soffer

We analyze the behaviour of the high-energy scattering amplitude within the brane world scenario in extra dimensions. We argue that contrary to the popular opinion based on the Kaluza-Klein approach, the cross-section does not increase with…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. I. Kazakov , G. S. Vartanov

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

The analysis of the procedure of the determining the parameters of the hadron elastic scattering amplitude at high energy is presented. The exponential and non-exponential form of the scattering amplitude are taken into account. Especially,…

High Energy Physics - Experiment · Physics 2013-10-22 O. V. Selyugin

We formulate scattering in one dimension due to the coupled Schr\"{o}dinger equation in terms of the $S$ matrix, the unitarity of which leads to constraints on the scattering amplitudes. Levinson's theorem is seen to have the form $\eta(0)…

Quantum Physics · Physics 2014-11-18 K. A. Kiers , W. van Dijk

We prove the general theorem that the real part of the forward two-body scattering amplitude is positive at sufficiently high energies if, above a certain energy, the total cross section increases monotonically to infinity at infinite…

High Energy Physics - Phenomenology · Physics 2018-01-31 André Martin , Tai Tsun Wu

We analyze the recently discovered phenomena in elastic proton-proton scattering at the LHC, challenging the standard Regge-pole theory: the low-$|t|$ "break" (departure from the exponential behavior of the diffraction cone), the…

High Energy Physics - Phenomenology · Physics 2019-04-10 István Szanyi , Norbert Bence , László Jenkovszky

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

In this talk we describe the application of the AdS/CFT correspondence for a confining background to the study of high energy scattering amplitudes in gauge theory. We relate the energy behaviour of scattering amplitudes to properties of…

High Energy Physics - Theory · Physics 2007-05-23 Romuald A. Janik

We calculate bosonic massive closed string states at arbitrary mass levels scattered from Orientifold planes in the high-energy, fixed angle limit. For the case of O-particle scatterings, we obtain infinite linear relations among…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

In studies of high energy $pp$ and $\bar pp$ scattering, the odd (under crossing) forward scattering amplitude accounts for the difference between the $pp$ and $\bar pp$ cross sections. Typically, it is taken as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin M. Block , Kyungsik Kang