Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei

Holt, Roy; Gilman, R.

doi:10.48550/arxiv.1205.5827

Cited by 1 publication

(1 citation statement)

References 171 publications

(218 reference statements)

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“…The predictions are in remarkable agreement with measurements. [30,31] 3.1 Holographic embedding and the spin-spin interaction [5] The pion and nucleon trajectories can be consistently described by the superconformal algebraic structure mapped to the light front [4]. A fundamental prediction is a massless pion in the limit of zero quark masses.…”

Section: The Eigenfunctions Of the Hamiltonianmentioning

confidence: 99%

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Brodsky

Téramond

Dosch

et al. 2016

Int. J. Mod. Phys. A

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Superconformal algebra leads to remarkable connections between the masses of mesons and baryons of the same parity -supersymmetric relations between the bosonic and fermionic bound states of QCD. Supercharges connect the mesonic eigenstates to their baryonic superpartners, where the mesons have internal angular momentum one unit higher than the baryons: L M = L B + 1. The dynamics of the superpartner hadrons also match; for example, the power-law fall-off of the form factors are the same for the mesonic and baryonic superpartners, in agreement with twist counting rules. An effective supersymmetric light-front Hamiltonian for hadrons composed of light quarks can be constructed by embedding superconformal quantum mechanics into AdS space. This procedure also generates a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry inside the graded algebra determines a unique quark-confining light-front potential for light hadrons in agreement with the softwall AdS/QCD approach and light-front holography. Only one mass parameter √ λ appears; it sets the confinement mass scale, a universal value for the slope of all Regge trajectories, the nonzero mass of the proton and other hadrons in the chiral limit, as well as the length scale which underlies their structure. The mass for the pion eigenstate vanishes in the chiral limit. When one includes the constituent quark masses using the Feynman-Hellman theorem, the predictions are consistent with the empirical features of the light-quark hadronic spectra. Our analysis can be consistently applied to the excitation spectra of the π, ρ, K, K * and φ meson families as well as to the N, ∆, Λ, Σ, Σ * , Ξ and Ξ * baryons. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass-squared of the light hadrons can be expressed in a universal and frame-independent decomposition of contributions from the constituent kinetic energy, the confinement potential, and spin-spin contributions. We also predict features of hadron dynamics, including hadronic light-front wavefunctions, distribution amplitudes, form factors, valence structure functions and vector meson electroproduction phenomenology. The mass scale √ λ can be connected to the parameter Λ M S in the QCD running coupling by matching the nonperturbative dynamics, as described by the light-front holographic approach. to the perturbative QCD regime. The result is an effective coupling defined at all momenta. The matching of the high and low momentum-transfer regimes determines a scale Q 0 proportional to √ λ which sets the interface between perturbative and nonperturbative hadron dynamics. The use of Q 0 to resolve the factorization scale uncertainty for structure functions and distribution amplitudes, in combi-2 nation with the scheme-independent Principle of Maximal Conformality (PMC) procedure for setting renormalization scales, can greatly improve the precision of perturbative QCD predictions.

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Section: The Eigenfunctions Of the Hamiltonianmentioning

confidence: 99%