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We present a brief review on the Impulse Approximation method to study processes of scattering off composite particles. We first construct the model in a non-relativistic fashion that enables us to extend the model to a covariant Impulse…

Nuclear Theory · Physics 2007-05-23 Maurizio De Sanctis , Mario A. Acero , Diego A. Milanes , Carlos E. Sandoval

The formalism to describe the scattering of a weakly bound projectile nucleus by a heavy target is investigated, using the Uncorrelated Scattering Approximation. The main assumption involved is to neglect the correlation between the…

Nuclear Theory · Physics 2009-11-10 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

We review the description of classical gravitational scatterings of two compact objects by means of the eikonal framework. This encodes via scattering amplitudes both the motion of the bodies and the gravitational-wave signals that such…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Carlo Heissenberg , Rodolfo Russo

A geometrical interpretation of Schr\"odinger's kinetic and potential energy operators is proposed, allowing for a covariant momentum space formulation of the dynamics that is relevant for the theories with the deformation of the momentum…

General Physics · Physics 2023-02-01 Boris Ivetic

Collapse of the rotating spheroid is approximated by a system of ordinary differential equations describing its dynamics. The gravitational potential is approximated by the one of the iniform Maclaurin spheroid. Developement of…

Astrophysics · Physics 2016-08-30 G. S. Bisnovatyi-Kogan

The junction conditions between static and non-static space-times are studied for analyzing gravitational collapse in the presence of a cosmological constant. We have discussed about the apparent horizon and their physical significance. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ujjal Debnath , Soma Nath , Subenoy Chakraborty

In this paper, we have discussed the gravitational collapse and expansion of charged anisotropic cylindrically symmetric gravitating source. To this end, the generating solutions of Einstein-Maxwell field equations for the given source and…

General Physics · Physics 2015-04-22 T. Mahmood , S. M. Shah , G. Abbas

We take a step towards the non-perturbative description of a two-dimensional dilaton-gravity theory which has a vanishing cosmological constant and contains black holes. This is done in terms of a double-scaled Hermitian random matrix model…

High Energy Physics - Theory · Physics 2023-04-19 Arjun Kar , Lampros Lamprou , Charles Marteau , Felipe Rosso

We construct a perturbative S-matrix for interacting massive scalar fields in global de Sitter space. Our S-matrix is formulated in terms of asymptotic particle states in the far past and future, taking appropriate care for light fields…

High Energy Physics - Theory · Physics 2013-07-11 Donald Marolf , Ian A. Morrison , Mark Srednicki

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

This paper is a sequel in which we further analyze the recently derived quantum gravity equations which apply in accelerating cosmological spacetimes and whose solutions should be equivalent to all order re-summations of the perturbative…

General Relativity and Quantum Cosmology · Physics 2026-01-21 S. P. Miao , N. C. Tsamis , R. P. Woodard

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Sergio Giardino

A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is…

This pedagogical review addresses several issues related to statistical description of gravitating systems in both static and expanding backgrounds, focusing on the latter. After briefly reviewing the results for the static background, I…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

We propose a novel method for analysis of experimental data obtained at relativistic nucleus-nucleus collisions. The method, based on the ideas of Random Matrix Theory, is applied to detect systematic errors that occur at measurements of…

High Energy Physics - Experiment · Physics 2009-11-11 E. I. Shahaliev , R. G. Nazmitdinov , A. A. Kuznetsov , M. K. Suleymanov , O. V. Teryaev

We define an $S$-matrix for massive scalar fields on a fixed de Sitter spacetime, in the expanding patch co-ordinates relevant for early Universe cosmology. It enjoys many of the same properties as its Minkowski counterpart, for instance:…

High Energy Physics - Theory · Physics 2023-09-14 Scott Melville , Guilherme L. Pimentel

Three-nucleon scattering equations with irreducible three-nucleon force are solved in momentum-space. The Coulomb interaction between the two protons is included using the method of screening and renormalization. The need for the…

Nuclear Theory · Physics 2010-05-07 A. Deltuva

We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained by the existence of a UV completion. In the…

High Energy Physics - Theory · Physics 2021-02-05 Joan Elias Miro , Andrea L. Guerrieri , Aditya Hebbar , Joao Penedones , Pedro Vieira

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

High Energy Physics - Lattice · Physics 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas