New evaluation of the Baldin sum rule

Babusci, D.; Giordano, G.; Matone, G.

doi:10.1103/physrevc.57.291

Cited by 75 publications

(103 citation statements)

References 20 publications

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“…If the amplitude T 1 (ν, q 2 ) were to obey an unsubtracted dispersion relation, the Regge terms in the expression for L 1 (Q 2 ) could be dropped, so that the sum rule would reduce to the one proposed in [53]. Regge Table 1 Experimental values of the nucleon polarisabilities, in units of 10 −4 fm 3 , as determined from EFT extractions in Compton scattering [47,49,51] and analyses of the Baldin sum rule [48,50] (see also [37,52]). The latter results were imposed in [47,49], so that the quoted errors for α E and β M are anticorrelated …”

Section: Sum Rules For the Polarisabilitiesmentioning

confidence: 99%

Cottingham formula and nucleon polarisabilities

et al. 2015

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The difference between the electromagnetic selfenergies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections -provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

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Section: Sum Rules For the Polarisabilitiesmentioning

confidence: 99%

Cottingham formula and nucleon polarisabilities

et al. 2015

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“…Evidently, this expansion works poorly for these quantities: compare the HB (blue dashed) curves, which only for δ LT [26]. The data points at Q 2 = 0 correspond with Refs [27] and [28] (red and purple point, respectively) for the proton, and [28] for the neutron. The data point in the left upper panel at Q 2 = 0.3 GeV 2 is from Ref.…”

Section: Resultsmentioning

confidence: 99%

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory

2014

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We obtain leading-and next-to-leading order predictions of chiral perturbation theory for several prominent moments of nucleon structure functions. These free-parameter free results turn out to be in overall agreement with the available empirical information on nearly all of the considered moments, in the region of low-momentum transfer (Q 2 < 0.3 GeV 2 ). Especially surprising is the situation for the spin polarizability δ LT , which thus far was not reproducible in chiral perturbation theory for proton and neutron simultaneously. This problem, known as the "δ LT puzzle," is not seen in the present calculation.

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“…Experimental results are from Federspiel et al [23], Zieger et al [24], MacGibbon et al [26], and TAPS [27]. 'Sum Rule' indicates the Baldin sum rule constraint on α + β [28]. 'Global average' represents the PDG summary [29].…”

Section: Pos(cd09)095mentioning

confidence: 99%

An exemplary case of chiral EFT for resonances: Delta (1232)

Pascalutsa¹

2010

Proceedings of 6th International Workshop on Chiral Dynamics — PoS(CD09)

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Several conceptual points concerning the inclusion of the ∆(1232) resonance in the framework of chiral effective-field theory are discussed, with an emphasis on the problem of power counting in the baryon sector in general. I also formulate a new dispersion relation in the pion-mass squared (or, the quark mass) and make a link between the power counting and the analytic properties of chiral expansion. A controversy regarding the determination of the proton's magnetic polarizability from Compton-scattering data is stressed here as well.

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New evaluation of the Baldin sum rule

Cited by 75 publications

References 20 publications

Cottingham formula and nucleon polarisabilities

Cottingham formula and nucleon polarisabilities

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory

An exemplary case of chiral EFT for resonances: Delta (1232)

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