Quantum Monte Carlo Methods in Few-Body Physics

Carlson, J.

doi:10.1007/978-3-7091-6798-4_1

Cited by 3 publications

(5 citation statements)

References 6 publications

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“…and take a functional form for ψ that reduces to the Hulthen form (difference of two Yukawa functions) in the nonrelativistic limit, and has an asymptotic 1/Q 2 dependence for large Q 2 , as expected from pQCD calculations of the electromagnetic form factors [21,22]. This form is…”

Section: Relativistic Nucleon Wave Functionmentioning

confidence: 98%

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PureS-wave covariant model for the nucleon

Gross

Ramalho

Peña³

2008

Phys. Rev. C

109

672

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Using the manifestly covariant spectator theory, and modeling the nucleon as a system of three constituent quarks with their own electromagnetic structure, we show that all four nucleon electromagnetic form factors can be very well described by a manifestly covariant nucleon wave function with zero orbital angular momentum. Since the concept of wave function depends on the formalism, the conclusions of light-cone theory requiring nonzero angular momentum components are not inconsistent with our results. We also show that our model gives a qualitatively correct description of deep inelastic scattering, unifying the phenomenology at high and low momentum transfer. Finally we review two different definitions of nuclear shape and show that the nucleon is spherical in this model, regardless of how shape is defined.

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Section: Relativistic Nucleon Wave Functionmentioning

confidence: 98%

“…The role of λ will be discussed later. The quark form factors (22) parameterize the charge and magnetic structure of the u and d CQ.…”

Section: Nucleon Electromagnetic Form Factorsmentioning

confidence: 99%

PureS-wave covariant model for the nucleon

Gross

Ramalho

Peña³

2008

Phys. Rev. C

109

672

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“…The analysis of the helicity transition amplitudes at large Q 2 imposes, however, a constraint stronger than (2.6) and (2.7). From the study of the asymptotic behavior of the helicity transition amplitudes [94,95], one concludes that the magnetic-type form factors are related for very large Q 2 by…”

Section: Perturbative Qcd Constraintsmentioning

confidence: 99%

“…One can now use the pQCD analysis from C. Carlson et al [94,95]. In the leading order amplitude (G + ) the electromagnetic interaction preserves the helicity of the initial state (helicity conservation) meaning that there is no spin flip of any quark.…”

Section: Electromagnetic Current and Form Factorsmentioning

confidence: 99%

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Electromagnetic form factors of the $Ω^-$ baryon in the spacelike and timelike regions

Ramalho

2020

Preprint

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We present complete calculations of the electromagnetic form factors of the Ω − in the spacelike region and in the timelike region. The four elastic form factors: electric charge (GE0), magnetic dipole (GM1), electric quadrupole (GE2) and magnetic dipole (GM3), are estimated within the covariant spectator quark model, in terms of the square momentum transfer q 2 . The free parameters of the Ω − wave function, including a S-wave state and two independent D-wave states radial wave functions and the admixture coefficients are fixed by the comparison with the lattice QCD data in the spacelike region (Q 2 = −q 2 ≤ 0) and with the recent e + e − → Ω − Ω+ data from CLEO in the timelike region (q 2 > 0). The estimates in the timelike region for square momentum transfer q 2 ≥ 4M 2 Ω , are based on large-q 2 asymptotic relations (MΩ is the Ω − mass). We examine also the impact of the large-Q 2 correlations between different form factors, and analyze the possible solutions. The electric quadrupole and the magnetic octupole moments of the Ω − , and the e + e − → Ω − Ω+ integrated cross sections for very large q 2 are estimated based on the model results.

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Large Lorentz scalar and vector potentials in nuclei

Furnstahl

Serot

2000

Nuclear Physics A

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Quantum Monte Carlo Methods in Few-Body Physics

Cited by 3 publications

References 6 publications

PureS-wave covariant model for the nucleon

PureS-wave covariant model for the nucleon

Electromagnetic form factors of the $Ω^-$ baryon in the spacelike and timelike regions

Large Lorentz scalar and vector potentials in nuclei

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