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A set of wave equations with fractional loss operators in time and space are analyzed. It is shown that the fractional Szabo equation, the power law wave equation, and the fractional Laplacian wave equation in the causal and non-causal…

Classical Physics · Physics 2014-01-28 Sverre Holm , Sven Peter Näsholm

L\"uscher's method is routinely used to determine meson-meson, meson-baryon and baryon-baryon s-wave scattering amplitudes below inelastic thresholds from Lattice QCD calculations - presently at unphysical light-quark masses. In this work…

High Energy Physics - Lattice · Physics 2015-03-17 Thomas Luu , Martin J. Savage

A recent work on the resummation of fermionic in-medium ladder diagrams to all orders is extended by considering the effective range correction in the s-wave interaction and a (spin-independent) p-wave contact-interaction. A two-component…

Nuclear Theory · Physics 2015-06-11 N. Kaiser

We consider the behavior of the OPE density $c(\Delta,\ell)$ for conformal four-point functions in the flat-space limit where all scaling dimensions become large. We find evidence that the density reduces to the partial waves $f_\ell(s)$ of…

High Energy Physics - Theory · Physics 2024-03-08 Balt C. van Rees , Xiang Zhao

Particle fractionalization is believed to orchestrate the physics of many strongly correlated systems, yet its direct experimental detection remains a challenge. We propose a simple measurement for an ultracold matter system, in which…

Quantum Gases · Physics 2019-02-18 Seth M. Davis , Matthew S. Foster

The approximated partial wave decomposition method to the discrete data on a cubic lattice, developed by C. W. Misner, is applied to the calculation of $S$-wave hadron-hadron scatterings by the HAL QCD method in lattice QCD. We consider the…

High Energy Physics - Lattice · Physics 2020-04-29 Takaya Miyamoto , Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takumi Doi , Shinya Gongyo , Kenji Sasaki

A new technique for constructing the relativistic wave equation for the two-body system composed of the spin-1/2 and spin-0 particles is proposed. The method is based on the extension of the SL(2,C) group to the Sp(4,C) one. The obtained…

High Energy Physics - Theory · Physics 2008-11-26 D. A. Kulikov , R. S. Tutik

The two-fermion relativistic wave equations of Constraint Theory are reduced, after expressing the components of the $4\times 4$ matrix wave function in terms of one of the $2\times 2$ components, to a single equation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Mourad , H. Sazdjian

Motivated by experimental observations of exotic standing wave patterns in the two-frequency Faraday experiment, we investigate the role of normal form symmetries in the pattern selection problem. With forcing frequency components in ratio…

patt-sol · Physics 2009-10-31 Mary Silber , Anne C. Skeldon

Rotations on the 3-dimensional Euclidean vector-space can be represented by real quaternions, as was shown by Hamilton. Introducing complex quaternions allows us to extend the result to elliptic and hyperbolic rotations on the Minkowski…

Optics · Physics 2024-07-17 Pierre Pellat-Finet

We investigate the effects of new physics scenarios containing a high mass vector resonance on top pair production at the LHC, using the polarization of the produced top. In particular we use kinematic distributions of the secondary lepton…

High Energy Physics - Phenomenology · Physics 2010-04-20 Rohini M Godbole , Saurabh D Rindani , Kumar Rao , Ritesh K Singh

We present the first applications of the second random-phase-approximation model with the finite-range Gogny interaction. We discuss the advantages of using such an interaction in this type of calculations where 2 particle-2 hole…

Nuclear Theory · Physics 2015-06-05 D. Gambacurta , M. Grasso , V. De Donno , G. Co' , F. Catara

A study of the coupling between lattice ion vibrations and electron waves in a piezoelectric semiconductor quantum plasma is presented. The nonlinearities have been analyzed, and solitons have been studied. The theory is built using the…

Plasma Physics · Physics 2025-04-04 Abhishek Yadav , Punit Kumar

We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume

In one dimension the coupling of electrons to phonons leads to a transition from a metallic to a Peierls distorted insulated state if the coupling exceeds a critical value. On the other hand, in two dimensions the electron-phonon…

Superconductivity · Physics 2009-11-13 S. Sykora , A. Hübsch , K. W. Becker

The in-plane acoustic behavior of non-centrosymmetric lattices having nodes endowed with mass and gyroscopic inertia and connected by massless ligaments with asymmetric elastic properties has been analysed through a discrete model and a…

Materials Science · Physics 2016-11-07 Andrea Bacigalupo , Luigi Gambarotta

We present an interacting theory of a $U(1)$ gauge boson with a quadratic dispersion relation, which we call the "nonlinear Lifshitz photon theory.'' The Lifshitz photon is a three-dimensional generalization of the Tkachenko mode in…

Strongly Correlated Electrons · Physics 2024-01-23 Yi-Hsien Du , Cenke Xu , Dam Thanh Son

We resum the ladder diagrams for the calculation of the energy density $\cal{E}$ of a spin 1/2 fermion many-body system in terms of arbitrary vacuum two-body scattering amplitudes. The partial-wave decomposition of the in-medium two-body…

Nuclear Theory · Physics 2022-01-19 J. M. Alarcón , J. A. Oller

We consider the reaction dynamics of bosons with negative parity and spin $0$ or $1$ and fermions with positive parity and spin $\frac{1}{2}$ or $\frac{3}{2}$. Such systems are of central importance for the computation of the baryon…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yonggoo Heo , Matthias F. M. Lutz

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A…

Strongly Correlated Electrons · Physics 2009-11-10 R. Lopez-Sandoval , G. M. Pastor