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Related papers: Relativistic bound-state calculations in Light Fro…

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We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics.…

The main aim of this paper is to demonstrate the method called "the Bosonization of Nonlocal Currents" (BNC), used for calculations of bound states in a quark model, within the simplest relativistic quantum field model of two scalar fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. V. Efimov

A computational method is proposed to calculate bound and resonant states by solving the Klein-Gordon and Dirac equations for real and complex energies, respectively. The method is an extension of a non-relativistic one, where the potential…

Quantum Physics · Physics 2023-12-06 D. Wingard , B. Kónya , Z. Papp

We present the first numerical QCD bound state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martina Brisudova , Robert Perry

We present a QCD bound-state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining interactions. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Martina Brisudova

We have calculated the electromagnetic elastic form factor of a two body scalar bound state. The Bethe-Salpeter equation is solved directly in the Minkowski space using the Perturbation Theory Integral Representation. At soft coupling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Sauli

A light front field theory for finite temperature and density is currently being developed. It will be used here to describe the transition region from quark matter to nuclear matter relevant in heavy ion collisions and in the early…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Beyer

In quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy…

High Energy Physics - Phenomenology · Physics 2011-04-15 Wolfgang Lucha , F. F. Schoberl

The Relativistic formulation of the three-boson model interacting via a zero-range two-body force in the null-plane is given in 2+1 and 1+1 space-time dimension. The bound state energy is calculed as function of the two-body boson binding…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. B. C de Melo , A. E. A. Amorim , Lauro Tomio , T. Frederico

In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional…

High Energy Physics - Theory · Physics 2009-10-22 T. Heinzl , E. Werner

The difficulties that typically prevent numerical solutions from being obtained to finite-energy, two-body, bound-state Bethe-Salpeter equations can often be overcome by expanding solutions in terms of basis functions that obey the boundary…

Mathematical Physics · Physics 2021-02-24 G. B. Mainland

Flavored mesons containing quarks of unequal masses are studied. The appropriate tool is the Bethe-Salpeter formalism, but its inherent complexity leads to series of difficulties mostly related to the central role played in it by the…

High Energy Physics - Phenomenology · Physics 2020-08-26 Mikhail N. Sergeenko

Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , Stanley J. Brodsky

We determine the lowest bound-state pole of the density-density correlator in the scalar Wick-Cutkosky model where two equal-mass constituents interact via the exchange of mesons. This is done by employing the worldline representation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Barro-Bergflödt , R. Rosenfelder , M. Stingl

Quantum field theories in front-form dynamics are not manifestly rotationally invariant. We study a model bound-state equation in 3+1 dimensional front-form dynamics, which was shown earlier to reproduce the Bohr and hyperfine structure of…

High Energy Physics - Theory · Physics 2009-10-30 Uwe Trittmann , Hans-Christian Pauli

Recently developed methods allowing to find the solutions of the Bethe-Salpeter equations in Minkowski space, both for the bound and scattering states, are reviewed. For the bound states, one obtains the bound state mass and the…

High Energy Physics - Phenomenology · Physics 2015-06-18 V. A. Karmanov

The bound state of constituent quarks forming a $Qqq$ composite baryon is investigated in a QCD-inspired effective light-front model. The light-front Faddeev equations are derived and solved numerically. The masses of the spin 1/2 low-lying…

High Energy Physics - Phenomenology · Physics 2014-11-17 E. F. Suisso , J. P. B. C. de Melo , T. Frederico

The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if…

High Energy Physics - Lattice · Physics 2016-09-01 Shoichi Sasaki , Takeshi Yamazaki

Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of…

High Energy Physics - Theory · Physics 2009-10-30 Billy D. Jones , Robert J. Perry

We use an alternative method to the Bethe-Salpeter equation, the N-Quantum approximation (NQA), for studying bound states in motion. We use this method to find a relativistic equation for weakly bound states of two constituents with…

High Energy Physics - Phenomenology · Physics 2011-07-06 Steven Cowen