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Understanding the short-range nucleon-nucleon interaction is essential for the interpretation of correlation femtoscopy measurements in high-energy hadronic and nuclear collisions. We present an analytical treatment of the strong…

Nuclear Theory · Physics 2026-02-12 Gleb Romanenko , Francesca Bellini

We compute anomalous dimensions of higher spin operators in Conformal Field Theory at arbitrary space-time dimension by using the OPE inversion formula of \cite{Caron-Huot:2017vep}, both from the position space representation as well as…

High Energy Physics - Theory · Physics 2018-12-05 Carlos Cardona , Kallol Sen

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which…

High Energy Physics - Phenomenology · Physics 2022-01-04 R. R. Luz , Caroline S. R. Costa , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim , R. A. S. Paiva

We introduce a positive phase-space representation for fermions, using the most general possible multi-mode Gaussian operator basis. The representation generalizes previous bosonic quantum phase-space methods to Fermi systems. We derive…

Other Condensed Matter · Physics 2009-11-10 J. F. Corney , P. D. Drummond

In [1], two of the present authors along with P. Raman attempted to extend the Amplituhedron program for scalar field theories [2] to quartic scalar interactions. In this paper we develop various aspects of this proposal. Using recent…

High Energy Physics - Theory · Physics 2020-06-12 P B Aneesh , Pinaki Banerjee , Mrunmay Jagadale , Renjan Rajan John , Alok Laddha , Sujoy Mahato

Understanding the behavior of interacting fermions is of fundamental interest in many fields ranging from condensed matter to high energy physics. Developing numerically efficient and accurate simulation methods is an indispensable part of…

Strongly Correlated Electrons · Physics 2017-08-03 Shainen M. Davidson , Dries Sels , Anatoli Polkovnikov

An analytical form has been derived using Ostrogradski's integration method for the interaction between two thin rods of finite lengths in arbitrary relative configurations in a 3-dimensional space, each treated as a line of material points…

Soft Condensed Matter · Physics 2024-05-08 Junwen Wang , Gary Seidel , Shengfeng Cheng

The exchange of spin-0 or spin-1 bosons between fermions or spin-polarised macroscopic objects gives rise to various spin-dependent potentials. We derive the coordinate-space non-relativistic potentials induced by the exchange of such…

High Energy Physics - Phenomenology · Physics 2019-03-06 Pavel Fadeev , Yevgeny V. Stadnik , Filip Ficek , Mikhail G. Kozlov , Victor V. Flambaum , Dmitry Budker

Let $G$ be an even orthogonal quasi-split group defined over a local non-archimedean field $F$. We describe the subspace of smooth vectors of the minimal representation of $G(F),$ realized on the space of square-integrable functions on a…

Representation Theory · Mathematics 2023-04-28 Nadya Gurevich , David Kazhdan

The supersymmetric analysis of spinning cosmic string spacetime, involving an electron in magnetic fields, has been conducted. We examined the Dirac system within extended special functions known as exceptional orthogonal polynomials.…

Mathematical Physics · Physics 2024-05-01 O. Yesiltas , B. B. Oner

Space-time multivectors in Clifford algebra (space-time algebra) and their application to nonlinear electrodynamics are considered. Functional product and infinitesimal operators for translation and rotation groups are introduced, where…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Chernitskii

A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this property is preserved under knot insertion. The interest in such kind of spaces is justified by the fact that, similarly as for polynomial…

Numerical Analysis · Mathematics 2021-11-12 Carolina Vittoria Beccari , Giulio Casciola , Lucia Romani

An expression of partial wave expansion of three-baryon interactions in chiral effective field theory is presented. The derivation follows the method by Hebeler et al. [Phys. Rev. C{\bf 91}, 044001 (2015)], but the final expression is more…

Nuclear Theory · Physics 2022-12-07 M. Kohno , H. Kamada , K. Miyagawa

We present a review of recent developments of simulations of the Vlasov-Maxwell system of equations using a Fourier transform method in velocity space. In this method, the distribution functions for electrons and ions are Fourier…

Plasma Physics · Physics 2011-07-26 Bengt Eliasson

We propose a new method for the construction of a consistent meson exchange current in $r$-space for the spin-isospin dependent central and tensor part of phenomenological nucleon-nucleon potentials by using a Laplace transformation, which…

Nuclear Theory · Physics 2009-11-07 Hartmuth Arenhoevel , Michael Schwamb

The problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar Coulomb potentials which have equal or opposite signs is investigated. We explore all the possible signs of the…

High Energy Physics - Theory · Physics 2015-04-09 Luis B. Castro , Antonio S. de Castro , Pedro Alberto

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for…

High Energy Physics - Theory · Physics 2015-06-15 Claudio Coriano , Luigi Delle Rose , Emil Mottola , Mirko Serino

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase…

Nuclear Theory · Physics 2026-05-13 Renjie Zou , Sheng Xiao , Zhi Qin , Zhigang Xiao

We consider a composite spin-half particle moving in spatially-varying scalar and vector fields. The vector field is assumed to couple to a conserved charge, but no assumption is made about either the structure of the composite or its…

Nuclear Theory · Physics 2008-11-26 D. R. Phillips , M. C. Birse , S. J. Wallace