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We present an algorithm to find invariant poynomial transformations of integer sequences, using the classical invariant theory approach.

Combinatorics · Mathematics 2012-10-02 Leonid Bedratyuk

In this paper, an approach is developed to solve the three body problem involving masses which posses spherical symmetry. The problem dates back to the times of Poincare, and is undoubtedly one of the oldest of unsolved problems of…

Mathematical Physics · Physics 2007-05-23 A. B. Mehmood , U. A. Shah , G. Shabbir

The translational invariant formulation of the coupled-cluster method is presented here at the complete SUB(2) level for a system of nucleons treated as bosons. The correlation amplitudes are solution of a non-linear coupled system of…

Nuclear Theory · Physics 2009-10-30 R. Guardiola , I. Moliner , J. Navarro , M. Portesi

A relativistic light front treatment of nuclei is developed by performing light front quantization for a chiral Lagrangian. The energy momentum tensor and the appropriate Hamiltonian are obtained. Three illustrations of the formalism are…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller

An overview of the recent developments in plurifine potential theory.

Complex Variables · Mathematics 2012-07-04 Jan Wiegerinck

A new method is introduced for studying boundary value problems for a class of linear PDEs with {\it variable} coefficients. This method is based on ideas recently introduced by the author for the study of boundary value problems for PDEs…

Analysis of PDEs · Mathematics 2007-05-23 A. S. Fokas

We discuss the recent progress in neutrino physics in the following fields: (i) interpretation of the short and long neutrino oscillation data in terms of neutrino flavor transitions; (ii) models for neutrino masses and mixings.

High Energy Physics - Phenomenology · Physics 2016-01-27 Davide Meloni

We discuss the phenomenological and theoretical implications of recent progresses in the evaluation of multi-Pomeron vertices in high-energy perturbative QCD.

High Energy Physics - Phenomenology · Physics 2008-11-26 Robi Peschanski

We solve the Faddeev equation in an exactly Poincare invariant formulation of the three-nucleon problem. The dynamical input is a relativistic nucleon-nucleon interaction that is exactly on-shell equivalent to the high precision CDBonn NN…

Nuclear Theory · Physics 2008-11-26 H. Witala , J. Golak , R. Skibinski , W. Glockle , W. N. Polyzou , H. Kamada

A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner Hamiltonian is shown to be uniquely determined by requiring global Poincar\'e invariance. The phase-space…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

In this paper, a formula for the solution of the Poincar\'{e} functional equation in algebra of formal power series and its application to continuous iteration are presented.

Combinatorics · Mathematics 2023-04-05 Sergei Kazenas

We revisit the classical problem of nucleated polymerisation and derive a range of exact results describing polymerisation in systems intermediate between the well-known limiting cases of a reaction starting from purely soluble material and…

Biological Physics · Physics 2011-07-08 Samuel I. A. Cohen , Michele Vendruscolo , Christopher M. Dobson , Tuomas P. J. Knowles

We use the middle convolution to obtain some old and new algebraic solutions of the Painlev\'e VI equations.

Algebraic Geometry · Mathematics 2007-05-23 Michael Dettweiler , Stefan Reiter

The group theoretical description of the three-particle problem provides successful techniques for the solution of different questions. We present here a review of this approach.

Mathematical Physics · Physics 2015-06-19 J. Nyiri , V. A. Nikonov

This talk reviews some recent trends in perturbative quantum chromodynamics, with emphasis on higher orders in perturbation theory, resummation and power corrections.

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman

Transient processes in a third-order radiophysical flow system are studied and a map of the transient process duration versus initial conditions is constructed and analyzed. The results are compared to the arrangement of submanifolds of the…

Chaotic Dynamics · Physics 2015-06-26 E. N. Egorov , A. A. Koronovskii , A. E. Hramov

Observables in few-nucleon scattering processes are sensitive probes to study the two and many-body interactions between nucleons in nuclei. In the past decades, several facilities provided a large data base to study in detail the…

Nuclear Experiment · Physics 2010-02-09 Johan Messchendorp

We review the status of three-neutrino mixing and the results of global analyses of short-baseline neutrino oscillation data in 3+1 and 3+2 neutrino mixing schemes.

High Energy Physics - Phenomenology · Physics 2015-06-17 M. Laveder , C. Giunti

This an article about some elementary geometric and combinatorial natures of various knot energies. A related "new" knot invariant -- the X-crossing number -- is introduced.

q-alg · Mathematics 2008-02-03 Xiao-Song Lin

Three-nucleon interactions are a frontier in understanding and predicting the structure of strongly-interacting matter in laboratory nuclei and in the cosmos. We present results and discuss the status of first calculations with microscopic…

Nuclear Theory · Physics 2011-04-11 A. Schwenk , J. D. Holt