Electromagnetic form factors at large momenta from lattice QCD

Chambers, A. J.; Dragos, Jack; Horsley, R.; Nakamura, Y.; Perlt, H.; Pleiter, D.; Rakow, P. E. L.; Schierholz, G.; Schiller, A.; Somfleth, Kim; Stüben, H.; Young, R.; Zanotti, J. M.

doi:10.1103/physrevd.96.114509

Cited by 55 publications

(50 citation statements)

References 58 publications

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“…Compared with the lattice data of the ∆ + and Ω − electric monopole form factors, we find that the present results fall off faster than those of the lattice calculation as Q 2 increases. However, the lattice calculations tend to provide the results of the electric monopole form factor of the proton, which decrease more slowly than the experimental data, in particular, when the unphysical value of the pion mass is used [91][92][93][94]. Even though the physical pion mass is employed, the lattice results fall off still more slowly than the experimental data [95].…”

Section: Resultsmentioning

confidence: 99%

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Kim

2019

Eur. Phys. J. C

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We investigate the electromagnetic form factors of the baryon decuplet within the framework of the SU(3) self-consistent chiral quark-soliton model, taking into account the 1/Nc rotational corrections and the effects of flavor SU(3) symmetry breaking. We first examine the valence-and sea-quark contributions to each electromagnetic form factor of the baryon decuplet and then the effects of the flavor SU(3) symmetry breaking. The present results are in good agreement with the recent lattice data. We also compute the charge radii, the magnetic radii, the magnetic dipole moments and the electric quadrupole moments, comparing their results with those from other theoretical works. We also make a chiral extrapolation to compare the present results with the lattice data in a more quantitative manner. The results show in general similar tendency to the lattice results. In particular, the results of the M 1 and E2 form factors are in good agreement with those of lattice QCD.

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Section: Resultsmentioning

confidence: 99%

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Kim

2019

Eur. Phys. J. C

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“…Lattice-QCD computations of the pions electromagnetic charge radius (green circles [38], red down-triangle [39], cyan cross [40]) as a function of m 2 π , compared with a continuum theory prediction [41] (blue curve within bands, which indicate response to reasonable parameter variation). The continuum analysis establishes fπrπ ≈ constant, from which it follows that the size of a Nambu-Goldstone mode decreases in inverse proportion to the active strength of the dominant mass generating mechanism.…”

Section: Mass Budgetsmentioning

confidence: 99%

“…Recent progress is illustrated in Fig. 2, which displays contemporary lQCD [38][39][40] and continuum computations [41]…”

Section: Mass Budgetsmentioning

confidence: 99%

“…Starting in the long-distance (small-Q 2 ) domain, where F π (Q 2 ) is characterized by r π , and moving to shorter distances (larger Q 2 ), where power-law scaling and logarithmic scaling violations, characteristic of hard gluon and quark degrees-offreedom, become visible in the Q 2 -dependence of F π (Q 2 ), but its magnitude is set by a light-front pion wave function which is dilated owing to DCSB [34]. Both lQCD and continuum methods are being developed in order to provide robust predictions for the breadth and character of this transition domain [38][39][40][41].…”

Section: Pion and Kaon Form Factorsmentioning

confidence: 99%

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Pion and kaon structure at the electron-ion collider

et al. 2019

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Understanding the origin and dynamics of hadron structure and in turn that of atomic nuclei is a central goal of nuclear physics. This challenge entails the questions of how does the roughly 1 GeV mass-scale that characterizes atomic nuclei appear; why does it have the observed value; and, enigmatically, why are the composite Nambu-Goldstone (NG) bosons in quantum chromodynamics (QCD) abnormally light in comparison? In this perspective, we provide an analysis of the mass budget of the pion and proton in QCD; discuss the special role of the kaon, which lies near the boundary between dominance of strong and Higgs mass-generation mechanisms; and explain the need for a coherent effort in QCD phenomenology and continuum calculations, in exa-scale computing as provided by lattice QCD, and in experiments to make progress in understanding the origins of hadron masses and the distribution of that mass within them. We compare the unique capabilities foreseen at the electron-ion collider (EIC) with those at the hadron-electron ring accelerator (HERA), the arXiv:1907.08218v2 [nucl-ex] Rikutaro Yoshida (ryoshida@jlab.org) INTRODUCTIONAtomic nuclei lie at the core of everything we can see; and at the first level of approximation, their atomic weights are simply the sum of the masses of all the neutrons and protons (nucleons) they contain. Each nucleon has a mass m N ∼ 1 GeV, i.e. approximately 2000-times the electron mass. The Higgs boson produces the latter, but what produces the masses of the neutron and proton? This is the crux: the vast majority of the mass of a nucleon is lodged with the energy needed to hold quarks together inside it; and that is supposed to be explained by QCD, the strong-interaction piece within the Standard Model.QCD is unique. It is a fundamental theory with the capacity to sustain massless elementary degrees-of-freedom, viz. gluons and quarks; yet gluons and quarks are predicted to acquire mass dynamically [1][2][3], and nucleons and almost all other hadrons likewise, so that the only massless systems in QCD are its composite NG bosons [4,5], e.g. pions and kaons. Responsible for binding systems as diverse as atomic nuclei and neutron stars, the energy associated with the gluons and quarks within these Nambu-Goldstone (NG) modes is not readily apparent. This is in sharp and fascinating contrast with all other "everyday" hadronic bound states, viz. systems constituted from up = u, down = d, and/or strange = s quarks, which possess nuclear-size masses far in excess of anything that can directly be tied to the Higgs boson. 1

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“…[42,43]. In that work the author shows how structure functions may be studied via equal-time matrix elements in the large momentum limit.…”

Section: A Deep Inelastic Scatteringmentioning

confidence: 99%

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

2017

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We present a new technique for extracting decay and transition rates into final states with any number of hadrons. The approach is only sensitive to total rates, in which all out-states with a given set of QCD quantum numbers are included. For processes involving photons or leptons, differential rates with respect to the non-hadronic kinematics may also be extracted. Our method involves constructing a finite-volume Euclidean four-point function, whose corresponding spectral function measures the decay and transition rates in the infinite-volume limit. This requires solving the inverse problem of extracting the spectral function from the correlator and also necessitates a smoothing procedure so that a well-defined infinite-volume limit exists. Both of these steps are accomplished by the Backus-Gilbert method and, as we show with a numerical example, reasonable precision can be expected in cases with multiple open decay channels. Potential applications include nucleon structure functions and the onset of the deep inelastic scattering regime, as well as semi-leptonic D and B decay rates.

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Electromagnetic form factors at large momenta from lattice QCD

Cited by 55 publications

References 58 publications

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Pion and kaon structure at the electron-ion collider

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD

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