Polynomiality sum rules for generalized parton distributions of spin-1 targets

“…In the case of the spin-1 hadrons, the relations between the GPDs and the GFFs are established in Refs. [20,21,41] and the GFFs of the vector mesons are evaluated in Refs. [27,42,43].…”

Section: Introductionmentioning

confidence: 99%

Gravitational form factors of a baryon with spin-3/2

Kim

Sun

2021

Eur. Phys. J. C

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The energy–momentum tensor (EMT) for a spin-3/2 baryon is related to seven mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $$\Delta $$ Δ GFFs within the SU(2) Skyrme model based on the large $$N_{c}$$ N c limit.

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“…Chiral-even and chiral-odd deuteron GPDs which are relevant for coherent exclusive electroproduction processes as considered here, have been defined [11,36,37] and modeled [11,27] in a convolution model including the dominant np Fock state of the deuteron lightfront wave function (LFWF). In the convolution model, the partondeuteron helicity amplitudes are computed as a convolution of the parton-nucleon helicity amplitudes and the deuteron LFWF for the initial and final deuteron state.…”

Section: B Nonperturbative Model Inputsmentioning

confidence: 99%

Diffractive two-meson electroproduction with a nucleon and deuteron target

2020

Self Cite

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The diffractive electro-or photoproduction of two mesons separated by a large rapidity gap gives access to generalized parton distributions (GPDs) in a very specific way. First, these reactions allow us to easily access the chiral-odd transversity quark GPDs by selecting one of the produced vector mesons to be transversely polarized. Second, they are only sensitive to the so-called Efremov-Radyushkin-Brodsky-Lepage region where GPDs are not much constrained by forward quark distributions. Third, the skewness parameter ξ is not related to the Bjorken x Bj variable, but to the size of the rapidity gap. We analyze different channels (ρ 0 L ρ L=T , ρ 0 L ω L=T and ρ 0 L π production) on nucleon and deuteron targets. The analysis is performed in the kinematical domain where a large momentum transfer from the photon to the diffractively produced vector meson introduces a hard scale (the virtuality of the exchanged hard Pomeron). This enables the description of the hadronic part of the process in the framework of collinear factorization of GPDs. We show that the unpolarized cross sections depend very much on the parametrizations of both chiral-even and chiral-odd quark distributions of the nucleon, as well as on the shape of the meson distribution amplitudes. The rates are shown to be in the range of the capacities of a future electron-ion collider.

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Polynomiality sum rules for generalized parton distributions of spin-1 targets

Cited by 20 publications

References 63 publications

Mechanical properties of particles

Mechanical properties of particles

Gravitational form factors of a baryon with spin-3/2

Diffractive two-meson electroproduction with a nucleon and deuteron target

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