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We establish bounds on the energy of a system of N identical bosons bound by attractive pair potentials and obeying the semirelativistic Salpeter equation. The lower bound is provided by a `reduction', with the aid of Jacobi relative…

Mathematical Physics · Physics 2009-10-12 Richard L. Hall , Wolfgang Lucha

We present a microscopic calculation of the 6He beta-decay into the ground state of 6Li. To this end, we use chiral perturbation theory at next-to-next-to-next-to-leading order to describe the nuclear weak-currents. The nuclear wave…

Nuclear Theory · Physics 2009-07-09 Sergey Vaintraub , Nir Barnea , Doron Gazit

We present indications of possible substructures from weak interactions, by inspecting LEP and LHC date and inferring threshold effects due to the production of pairs of composite heavy gauge bosons W+-, Z and their hypothetical partners…

High Energy Physics - Phenomenology · Physics 2013-05-01 Eef van Beveren , Susana Coito , George Rupp

In this paper we study the existence of weak solutions to an unsteady system describing the motion of micro-polar electrorheological fluids. The constitutive relations for the stress tensors belong to the class of generalized Newtonian…

Analysis of PDEs · Mathematics 2015-10-02 E. Baeumle , M. Ruzicka

Weak interaction contributions to the strong theta parameter are revisited in the frame of a large-Nc Chiral Perturbation Theory. Focusing on the hadronic (eta,etaprime) \to pi pi amplitudes, we express these second-order corrections in…

High Energy Physics - Phenomenology · Physics 2012-09-19 J. M. Gerard , P. Mertens

We study polarized $e^-e^-$ scattering into $\WW$, $\WZ$ and $\ZZ$ final states within the framework of the standard model of electroweak interactions. These mechanisms for producing pairs of weak gauge bosons are potential backgrounds to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Frank Cuypers , Karol Kolodziej , Reinhold Rueckl

We derive novel low--energy theorems for single pion production off nucleons through the isovector axial current. We find that the $k^2$-dependence of the multipole $L_{0+}^{(+)}$ at threshold is given by the nucleon scalar form factor,…

High Energy Physics - Phenomenology · Physics 2011-07-19 V. Bernard , N. Kaiser , Ulf-G. Meißner

Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial condition on the maximal existence interval of the latter. The…

Analysis of PDEs · Mathematics 2022-07-04 Philippe Laurençot , Bogdan-Vasile Matioc

The description of the massive vector- and pseudo-vector bosons is proposed, which allows the use of them as interaction carriers. The boson propagators guarantee the renormalizability of the theory with massive intermediate bosons. The…

General Physics · Physics 2019-04-10 Konstantin Karplyuk , Oleksandr Zhmudskyy

The aim of this work is to prove the weak-strong uniqueness principle for the compressible Navier-Stokes-Poisson system on an exterior domain, with an isentropic pressure of the type $p(\varrho)=a\varrho^{\gamma}$ and allowing the density…

Analysis of PDEs · Mathematics 2021-09-09 Danica Basarić

While the well-established $GW$ approximation corresponds to a resummation of the direct ring diagrams and is particularly well suited for weakly-correlated systems, the $T$-matrix approximation does sum ladder diagrams up to infinity and…

Chemical Physics · Physics 2022-04-28 Pierre-François Loos , Pina Romaniello

We present a novel version of the pion Bethe-Salpeter equation in the chiral limit, solved using as ingredients state-of-the-art QCD correlation functions. The constraints imposed by the axial Ward-Takahashi identities are exactly…

High Energy Physics - Phenomenology · Physics 2026-04-02 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou , J. M. Pawlowski

Weak neutral current interactions with charged leptons have offered unique opportunities to study novel aspects of hadronic structure and search for physics beyond the standard model. These studies in the medium energy community have been…

Nuclear Experiment · Physics 2018-06-13 S. Riordan

We consider a nonlinear SPDE approximation of the Dean-Kawasaki equation for independent particles. Our approximation satisfies the physical constraints of the particle system, i.e. its solution is a probability measure for all times…

Probability · Mathematics 2024-06-21 Ana Djurdjevac , Helena Kremp , Nicolas Perkowski

We prove the existence of weak solutions to a viscoelastic phase separation problem in two space dimensions. The mathematical model consists of a Cahn-Hilliard-type equation for two-phase flows and the Peterlin-Navier-Stokes equations for…

Analysis of PDEs · Mathematics 2022-08-31 Aaron Brunk , Maria Lukacova-Medvidova

We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to…

Analysis of PDEs · Mathematics 2018-01-03 Mark Allen

We consider the question of existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for homogeneous, shear-thinning fluids. For a shear rate exponent $p \in \big(\tfrac{2d}{d+1}, 2\big)$,…

Analysis of PDEs · Mathematics 2023-06-13 Julius Jeßberger , Michael Růžička

We prove the existence of weak solutions to an unsteady thermistor system with p-Laplacian type equation for the electrostatic potential, where the electrical conductivity of the thermistor material is a monotone function of the electric…

Analysis of PDEs · Mathematics 2016-09-07 Joachim Naumann

We develop an advanced method of solving homogeneous and inhomogeneous Bethe-Salpeter equations by using the expansion over the complete set of 4-dimensional spherical harmonics. We solve Bethe-Salpeter equations for bound and scattering…

Nuclear Theory · Physics 2011-04-26 S. S. Semikh , S. M. Dorkin , M. Beyer , L. P. Kaptari

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body…

High Energy Physics - Phenomenology · Physics 2009-02-19 V. A. Karmanov , P. Maris