Light cone QCD sum rules analysis of the axial transition form factors

Aliev, T.; Azizi, K.; Özpineci, A.

doi:10.1016/j.nuclphysa.2007.11.006

Cited by 19 publications

(13 citation statements)

References 32 publications

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“…In the class of nucleon to resonance transitions the following processes were considered: The N → ∆ transition was studied in this framework in [53] (for a similar approach for Q 2 = 0 see, e.g., [54]), the axial part of the N → ∆ transition was calculated in [55]. Very recently the form factors of the N → N *(1535) transition were presented in [56].…”

Section: Light-cone Sum Rules For Form Factorsmentioning

confidence: 99%

Nucleon distribution amplitudes and their application to nucleon form factors and theN→Δtransition at intermediate values ofQ2

et al. 2009

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We compare a recent lattice determination of the nucleon distribution amplitudes with other approaches and models. We study the nucleon distribution amplitudes up to twist 6 in next-to-leading conformal spin and we also investigate conformal d-wave contributions to the leading-twist distribution amplitude. With the help of light-cone sum rules one can relate the distribution amplitudes to the form factors of the nucleon or the N ! Á transition at intermediate values of the momentum transfer. We compare our results with experimental data in the range 1 GeV 2 Q 2 10 GeV 2 . Keeping in mind that we are working only in leading order QCD and next-to-leading order QCD corrections might be sizeable, we already obtain a surprisingly good agreement for the nucleon form factors G

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Section: Light-cone Sum Rules For Form Factorsmentioning

confidence: 99%

Nucleon distribution amplitudes and their application to nucleon form factors and theN→Δtransition at intermediate values ofQ2

et al. 2009

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“…Explicit expressions of all DA'S and the values of eight nonperturbative parameters can be found in [8,11,10,13].…”

Section: Electromagnetic Form Factors Of Nucleon In Lcqsrmentioning

confidence: 99%

Nucleon electromagnetic form factors in QCD

et al. 2008

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“…There has also been a great theoretical interest in the axial nucleon ∆ transition form factors. Recently, they have been studied using quark models [6], Light Cone QCD Sum Rules [7], Lattice QCD [8] and Chiral Perturbation Theory (χPT) [9,10]. These form factors are of topical importance in the background analysis of some of the neutrino oscillation experiments (e.g.…”

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confidence: 99%

N−Δ(1232)axial form factors from weak pion production

Hernández¹,

Nieves²,

Valverde³

et al. 2010

Phys. Rev. D

160

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The N ∆ axial form factors are determined from neutrino induced pion production ANL & BNL data by using a state of the art theoretical model, which accounts both for background mechanisms and deuteron effects. We find violations of the off diagonal Goldberger-Treiman relation at the level of 2σ which might have an impact in background calculations for T2K and MiniBooNE low energy neutrino oscillation precision experiments.PACS numbers: 25.30. Pt,13.15.+g The ∆(1232) resonance is the lightest baryonic excitation of the nucleon. In addition, it couples very strongly to the lightest meson, the pion, and to the photon. As a consequence, the ∆(1232) is of the utmost importance in the description of a wide range of hadronic and nuclear phenomenology going from low and intermediate energy processes [1, 2] to the GZK cut-off of the cosmic ray flux [3,4]. On the other hand, despite its large width, it is well separated from other resonances what facilitates its experimental investigation. In particular, the electromagnetic nucleon to ∆(1232) excitation processes, induced by electrons and photons, have been extensively studied at many experimental facilities like LEGS, BATES, ELSA, MAMI, and J-LAB. For a recent review see Ref. [5], where also many of the recent theoretical advances in the understanding of the resonance have been addressed.There has also been a great theoretical interest in the axial nucleon ∆ transition form factors. Recently, they have been studied using quark models [6], Light Cone QCD Sum Rules [7], Lattice QCD [8] and Chiral Perturbation Theory (χPT) [9,10]. These form factors are of topical importance in the background analysis of some of the neutrino oscillation experiments (e.g. [11]). However, their experimental knowledge is less than satisfactory. Although the feasibility of their extraction in parityviolating electron scattering has been considered [12], the best available information comes from old bubble chamber neutrino scattering experiments at ANL [13,14] and BNL [15,16]. These experiments measured pion production in deuterium at relatively low energies where the dominant contribution is given by the ∆ pole (∆P ) mechanism: weak excitation of the ∆(1232) resonance and its subsequent decay into N π. Only very recently, π 0 production cross sections have been measured at low neutrino energies and with good statistics [17]. However, the target was mineral oil what implies large and difficult to disentangle nuclear effects. Thus, these data are less well suited for the extraction of the N ∆ axial form factors.Besides the original experimental publications, there are many studies of the ANL and/or the BNL data in the literature [18][19][20][21][22][23] with different advantages and shortcomings. Some of those studies are discussed below. In this letter, we analyze the ANL and BNL data incorporating the deuteron effects, with a proper consideration of statistical and systematical uncertainties and taking advantage of several recent developments: improved vector form factors and a new model fo...

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Light cone QCD sum rules analysis of the axial transition form factors

Cited by 19 publications

References 32 publications

Nucleon distribution amplitudes and their application to nucleon form factors and theN→Δtransition at intermediate values ofQ2

Nucleon distribution amplitudes and their application to nucleon form factors and theN→Δtransition at intermediate values ofQ2

Nucleon electromagnetic form factors in QCD

N−Δ(1232)axial form factors from weak pion production

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