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We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice…

High Energy Physics - Lattice · Physics 2019-01-01 Y. Namekawa , T. Yamazaki

An explicit derivation of the four-dilatino scattering amplitude from type II superstring theory is presented. This is obtained by using the Kawai-Lewellen-Tye relations for closed string scattering amplitudes in terms of the product of two…

High Energy Physics - Theory · Physics 2025-03-26 Lucas Martin , Martin Parlanti , Martin Schvellinger

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of…

High Energy Physics - Theory · Physics 2022-10-04 David A. Kosower , Ricardo Monteiro , Donal O'Connell

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

High Energy Physics - Theory · Physics 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A…

High Energy Physics - Theory · Physics 2020-08-26 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to…

High Energy Physics - Theory · Physics 2019-03-27 David A. Kosower , Ben Maybee , Donal O'Connell

We present novel techniques for the computation of three-loop four-parton scattering amplitudes in full color, non-planar gauge theories. We elaborate on how the analytic results for these amplitudes can be used to confirm the conjectured…

High Energy Physics - Phenomenology · Physics 2022-08-18 Amlan Chakraborty , Giulio Gambuti

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two- and three-body…

Nuclear Theory · Physics 2015-12-09 Johannes Kirscher , Nir Barnea , Doron Gazit , Francesco Pederiva , Ubirajara van Kolck

We use the configuration-space Faddeev formalism to study scattering of three particles in the double continuum where all particles are free. All scattering processes, starting from and ending in both single and double continua, are…

Quantum Physics · Physics 2026-04-15 Romain Guérout

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

The recently introduced anomaly-free twistor string in 4 dimensions is further explored. The spectrum based on the physical states and its Minkowski interpretation are examined. Scattering amplitudes with vertex operators involving…

High Energy Physics - Theory · Physics 2021-04-14 Christian Kunz

We determine scattering phase shifts for S,P,D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Luscher's finite volume method to determine infinite volume phase shifts from a set of…

High Energy Physics - Lattice · Physics 2015-11-10 Amy Nicholson , Evan Berkowitz , Enrico Rinaldi , Pavlos Vranas , Thorsten Kurth , Balint Joo , Mark Strother , Andre Walker-Loud

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

Condensed Matter · Physics 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Moeller , Peter West

We give a prove of evidence that the original power counting by Weinberg can be applied to estimate the contributions of the operators contributing to the pi-deuteron scattering length. As a consequence, pi-deuteron observables can be used…

Nuclear Theory · Physics 2009-11-11 A. Nogga , C. Hanhart

The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current…

High Energy Physics - Theory · Physics 2018-08-29 Joseph A. Farrow

We sketch a derivation of abstract scattering theory from the microscopic first principles defined by Bohmian mechanics. We emphasize the importance of the flux-across-surfaces theorem for the derivation, and of randomness in the impact…

Quantum Physics · Physics 2009-11-06 Detlef Duerr , Sheldon Goldstein , Stefan Teufel , Nino Zanghi

In this paper we consider some analytic properties of the high--energy quark--quark scattering amplitude, which, as is well known, can be described by the expectation value of two lightlike Wilson lines, running along the classical…

High Energy Physics - Theory · Physics 2007-05-23 Enrico Meggiolaro
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