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We consider the light-front wave function for the valence quark state of mesons using the AdS/CFT correspondence, as has been suggested by Brodsky and Teramond. Two kinds of wave functions, obtained in different holographic Soft-Wall…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alfredo Vega , Ivan Schmidt , Tanja Branz , Thomas Gutsche , Valery Lyubovitskij

We discuss the light-front wave function for the valence quark state of mesons using the AdS/CFT correspondence. We consider two kinds of wave functions obtained in different holographic Soft-Wall approaches

High Energy Physics - Phenomenology · Physics 2015-05-18 Alfredo Vega , Ivan Schmidt , Tanja Branz , Thomas Gutsche , Valery E. Lyubovitskij

We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a small-sized basis function representation. Unlike in a standard Hamiltonian formalism, the Hamiltonian in this method is implicit, and the…

High Energy Physics - Phenomenology · Physics 2022-11-30 Meijian Li , Yang Li , Guangyao Chen , Tuomas Lappi , James P. Vary

In this work, we consider an extension to the matching procedure proposed by Brodsky and de Teramond to obtain the two-body wave functions in the light-front formalism for holographic models. We compute the light-front wave function (LFWF)…

High Energy Physics - Phenomenology · Physics 2020-08-26 Alfredo Vega , Miguel Angel Martin Contreras

We calculate light-front wave functions of mesons, baryons and pentaquarks in a model including constituent mass (representing chiral symmetry breaking), harmonic confining potential, and 4-quark local interaction of 't Hooft type. The…

High Energy Physics - Phenomenology · Physics 2019-12-18 Edward Shuryak

In previous papers we developed the light front formulation for Hamiltonians and wave functions (WFs) for mesons and baryons, with both confinement and chiral symmetry breaking. For baryons limited to the lowest Fock component with three…

High Energy Physics - Phenomenology · Physics 2025-11-04 Nicholas Miesch , Edward Shuryak , Ismail Zahed

We had previously obtained an integral equation for mesons in transverse lattice QCD, in the limit of large number of colours and strong transverse lattice gauge coupling [1]. This equation is a generalisation of the 't Hooft equation [2],…

High Energy Physics - Lattice · Physics 2007-05-23 Apoorva D. Patel , Raghunath Ratabole

We study the light-unflavored mesons as relativistic bound states in the nonperturbative Hamiltonian formalism of the basis light-front quantization (BLFQ) approach. The dynamics for the valence quarks of these mesons is specified by an…

Nuclear Theory · Physics 2020-12-30 Wenyang Qian , Shaoyang Jia , Yang Li , James P. Vary

We investigate the $M1$ radiative transitions between light vector $\mathcal{V}$ and pseudoscalar $\mathcal{P}$ mesons in the 1S and 2S states in the light-front quark model. To this end, we use the light-front wave functions (LFWFs)…

High Energy Physics - Phenomenology · Physics 2025-07-08 Muhammad Ridwan , Ahmad Jafar Arifi , Terry Mart

We construct a Schrodinger-like equation for the longitudinal wave function of a meson in the valence qq-bar sector, based on the 't Hooft model for large-N two-dimensional QCD, and combine this with the usual transverse equation from…

High Energy Physics - Phenomenology · Physics 2015-06-05 S. S. Chabysheva , J. R. Hiller

The correspondence between theories in anti-de Sitter space and field theories in physical space-time leads to an analytic, semiclassical model for strongly-coupled QCD which has scale invariance at short distances and color confinement at…

High Energy Physics - Phenomenology · Physics 2015-05-27 Stanley J. Brodsky , Guy F. de Teramond

The light-front wave functions of hadrons allow us to calculate a wide range of physical observables; however, the wave functions themselves cannot be measured. We discuss recent results for quarkonia obtained in basis light-front…

Nuclear Theory · Physics 2020-11-03 Pieter Maris , Shaoyang Jia , Meijian Li , Yang Li , Shuo Tang , James P. Vary

Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $\Lambda_b$ baryon and its isospin triplet counterparts $\Sigma_b^+$, $\Sigma_b^0$, and $\Sigma_b^-$ using a light-front…

High Energy Physics - Phenomenology · Physics 2025-03-18 Lingdi Meng , Tian-Cai Peng , Zhi Hu , Siqi Xu , Jiangshan Lan , Chandan Mondal , Guo-Li Wang , Xingbo Zhao , James P. Vary

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

Mesonic baryon resonance decays are calculated from constituent quark models along a Poincar\'e-invariant generalization of the elementary emission model. Covariant results of pionic decay widths are presented for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Melde , R. F. Wagenbrunn , W. Plessas

Starting from the bound state Hamiltonian equation of motion in QCD, we derive relativistic light-front wave equations in terms of an invariant impact variable $\zeta$ which measures the separation of the quark and gluonic constituents…

High Energy Physics - Phenomenology · Physics 2014-11-20 Guy F. de Teramond , Stanley J. Brodsky

We study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front…

High Energy Physics - Phenomenology · Physics 2016-05-12 Yang Li , Pieter Maris , Xingbo Zhao , James P. Vary

We developed a model for the pion light-front wave function (LFWF) that incorporates valence, sea and gluon degrees of freedom. Using the LFWF overlap representation, we derived parametrizations for the pion parton distribution functions…

High Energy Physics - Phenomenology · Physics 2023-07-21 Simone Venturini , Barbara Pasquini , Simone Rodini

Basis Light-front Quantization (BLFQ) is a nonperturbative approach to quantum field theory. In this paper, we report our recent progress in applying BLFQ to the positronium system in QED and to the meson and the baryon system in QCD. We…

Nuclear Theory · Physics 2020-04-07 Xingbo Zhao , Kaiyu Fu , Hengfei Zhao , Jiangshan Lan , Chandan Mondal , Siqi Xu , James P. Vary

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
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