Null-plane dynamics for few-quark systems

Singh, N. Nimai; Mathur, Y. K.; Mitra, A. N.

doi:10.1007/bf01075291

Cited by 26 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Numerous light-front phenomenologies have been developed for heavy quarkonium (see e.g. [38][39][40][41][42][43][44] and the references therein). Our approach shares some similarity with these models.…”

Section: Introductionmentioning

confidence: 99%

Heavy quarkonium in a holographic basis

et al. 2016

View full text Add to dashboard Cite

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 wavefunction (LFWF) as our basis function and solve the non-perturbative dynamics by diagonalizing the Hamiltonian matrix. We obtain the mass spectrum for charmonium and bottomonium. With the obtained LFWFs, we also compute the decay constants and the charge form factors for selected eigenstates. The results are compared with the experimental measurements and with other established methods.including the electron anomalous magnetic moment [16,17], non-linear Compton scattering [18,19] and the positronium spectrum [20,21]. In this paper, we apply the BLFQ approach to the heavy quarkonium.Working with the full QCD Hamiltonian is a formidable task. In practice, we truncate the Fock space to a finite number of particles. The leading-order truncation |qq + |qqg introduces the one-gluon exchange which produces correct short-distance physics as well as the spin-dependent interaction needed for the fine and hyperfine structures. The Abelian version of this interaction was extensively used in the literature [20,[22][23][24][25] to calculate the QED bound-state spectrum in LFD. However, the one-gluon exchange itself is not sufficient to reproduce the hadron spectrum since confinement is also needed. Holographic QCD provides an appealing approximation to confinement.

show abstract

Section: Introductionmentioning

confidence: 99%

Heavy quarkonium in a holographic basis

et al. 2016

View full text Add to dashboard Cite

show abstract

“…The formalism developed can be used for the treatment of a wide class of elementary particle and nuclear physics problems (see, e.g., [72]- [74]).…”

Section: Equation For the Many-body Bound State Wave Functionmentioning

confidence: 99%

“…Note that construction of relativistic form factors of composite systems in other versions of relativistic description of bound states is considered in Refs. [72], [80]- [82].…”

Section: Elastic Form Factor In the Impulse Approximationmentioning

confidence: 99%

Light front formalism for composite systems and some of its applications in particle and relativistic nuclear physics

et al. 2008

View full text Add to dashboard Cite

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are reviewed. Elastic form factors in the impulse approximation are calculated. Scattering amplitudes for relativistic bound states are constructed. Some model cases for transition amplitudes are considered. Deep inelastic form factors (structure functions) are expressed through light front wave functions. It is shown that taking into account of transverse motion of partons leads to the violation of Bjorken scaling and structure functions become square of transverse momentum dependent. Possible explanation of the EMC-effect is given. Problem of light front relativization of wave functions of lightest nuclei is considered. Scaling properties of deuteron, 3 He and 4 He light front wave functions are checked in a rather wide energy range.

show abstract

“…With the steps given above, we obtain from Eqs. (8,15) and with the additional notation Λ 2 = i(2π) 5 λ HO (17) the final equation for the s-wave in momentum space…”

Section: Solution For the S-statementioning

confidence: 99%

Quenching of the Deuteron in Flight

Dillig

Rothleitner

2007

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

We investigate the Lorentz contraction of a deuteron in flight. Our starting point is the Blankenbecler-Sugar projection of the Bethe-Salpeter equation to a 3-dimensional quasi potential equation and apply it for the deuteron bound in an harmonic oscillator potential (for an analytical result) or by the Bonn NN potential for a more realistic estimate. We find substantial quenching with increasing external momentum and a significant modification of the high momentum spectrum of the deuteron.

show abstract

Null-plane dynamics for few-quark systems

Cited by 26 publications

References 18 publications

Heavy quarkonium in a holographic basis

Heavy quarkonium in a holographic basis

Light front formalism for composite systems and some of its applications in particle and relativistic nuclear physics

Quenching of the Deuteron in Flight

Contact Info

Product

Resources

About