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We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $\delta$ functions. We also discuss…

Quantum Physics · Physics 2007-05-23 T. Shigehara , H. Mizoguchi , T. Mishima , Taksu Cheon

We present a model for quasielastic neutron scattering (QENS) by an aqueous solution of compact and inflexible molecules. This model accounts for time-dependent spatial pair correlations between the atoms of the same as well as of distinct…

Soft Condensed Matter · Physics 2017-07-18 André Kusmin , Ruep E. Lechner , Wolfram Saenger

Dense QCD matter can feature a moat regime, where the static energy of mesons is minimal at nonzero momentum. Valuable insights into this regime can be gained using low-energy models. This, however, requires a careful assessment of model…

High Energy Physics - Phenomenology · Physics 2026-04-15 Fabian Rennecke , Shi Yin

We review the analytic results for the phase shifts delta_{l}(k) in non-relativistic scattering from a spherical well. The conditions for the existence of resonances are established in terms of time-delays. Resonances are shown to exist for…

Mathematical Physics · Physics 2009-11-10 Piers Kennedy , Richard L. Hall , Norman Dombey

We study the relativistic quantum mechanical scattering of a bosonic particle by an infinite straight cosmic string, considering the non-minimal coupling between the bosonic field and the scalar curvature. In this case, an effective…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Spinelly , E. R. Bezerra de Mello , V. B. Bezerra

Novel relativistic expressions are used to calculate the weak decay constants of pseudoscalar and vector mesons within the constituent quark model. Meson wave functions satisfy the quasipotential equation with the complete relativistic…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Ebert , R. N. Faustov , V. O. Galkin

In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment $\mu$ in the cosmic string spacetime is reexamined by applying the von Neumann theory of self--adjoint extensions. Contrary to previous…

High Energy Physics - Theory · Physics 2017-02-01 Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

We derive a semiclassical equation of motion for a `composite' quark in strongly-coupled large-N_c N=4 super-Yang-Mills, making use of the AdS/CFT correspondence. The resulting non-linear equation incorporates radiation damping, and reduces…

High Energy Physics - Theory · Physics 2009-07-22 Mariano Chernicoff , J. Antonio Garcia , Alberto Guijosa

A new Hamiltonian model is introduced to study the spectrum of light hadrons. It combines relativistic field theory with elements of the constituent quark model. In addition to the standard linear confining and pseudoscalar meson exchange…

High Energy Physics - Phenomenology · Physics 2015-06-11 W. Xie , P. Wang

Quark-hadron duality is an interesting and potentially very useful phenomenon, as it relates the properly averaged hadronic data to a perturbative QCD result in some kinematic regions. While duality is well established experimentally, our…

High Energy Physics - Phenomenology · Physics 2014-11-17 Sabine Jeschonnek , J. W. Van Orden

Starting from the gauge-invariant quark-antiquark Green function the expression for the nonrelativistic meson scattering amplitude is obtained and the nonperturbative form of this amplitude is discussed.

High Energy Physics - Phenomenology · Physics 2009-10-30 V. I. Shevchenko

A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

Unphysical effects associated with finite lattice spacing and partial quenching generally lead to to the presence of unphysical terms in chiral extrapolation formulae, which must be removed to make physical predictions. We use mixed action…

Nuclear Theory · Physics 2007-05-23 A. Walker-Loud

Recent progress in modeling QCD for hadron physics through truncated Dyson-Schwinger equations is reviewed. Special emphasis is put upon comparison of dressed quark propagators and the dressed quark-gluon vertex with lattice-QCD results.

Nuclear Theory · Physics 2009-11-10 P. C. Tandy

The leading-twist distribution amplitude for the longitudinal rho-meson was studied using QCD Sum Rules with nonlocal condensates and a spectral density which includes next-to-leading order radiative corrections. The obtained profile is…

High Energy Physics - Phenomenology · Physics 2014-03-24 A. V. Pimikov , S. V. Mikhailov , N. G. Stefanis

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jun-Xu Lu , Li-Sheng Geng , Michael Doering , Maxim Mai

The effects of meson-exchange currents (MEC) are computed for the one-particle one-hole transverse response function for finite nuclei at high momentum transfers $q$ in the region of the quasielastic peak. A semi-relativistic shell model is…

Nuclear Theory · Physics 2010-04-06 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , C. Maieron , J. M. Udias

In these lectures, we present the behavior of conventional $\bar{q}q$ mesons, glueballs, and hybrids in the large-$N_{c}$ limit of QCD. To this end, we use an approach based on rather simple NJL-like bound-state equations. The obtained…

High Energy Physics - Phenomenology · Physics 2024-05-17 Francesco Giacosa

Mesons are made of quark-antiquark pairs held together by the strong force. The one channel spectator, Dirac, and Salpeter equations can each be used to model this pairing. We look at cases where the relativistic kernel of these equations…

Nuclear Theory · Physics 2014-11-18 Michael Uzzo , Franz Gross