Additional requirements for consistent description of nonlocal interactions in QED

Kasatkin, Yu. A.

doi:10.1134/s1547477110020056

Cited by 3 publications

(8 citation statements)

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“…3. 4 He(𝛾, p)T and 4 He(𝛾, n) 3 He Reactions To estimate the differential cross-section of the processes 4 He(𝛾, N)T, where N is a nucleon (either p or n) and T is either 3 He or . 4 He(𝛾, d)d differential cross section at 𝐸𝛾 = 40 MeV, solid lines take the contact part into account, dash lines don't take the contact part into account, curves 1, 2 were calculated, by using the Argonne parametrization, curves 3, 4 were calculated, by using the Urbana parametrization, and * -experimental data [24] Fig.…”

Section: Process 4 He(𝛾 D)dmentioning

confidence: 99%

“…If the vertex function of the strong interaction is constant, then the regular part of the amplitude turns to a zero. At the same time, the pole part is determined by Yukawa asymptotic behavior 3 . For a decreasing function, its derivative is negative.…”

Section: Introductionmentioning

confidence: 99%

“…As a result of these operations, it was succeeded to harmonize the 4-momentum and charge conservation laws in the amplitude of processes. In papers [2,3] with the use of generalized Feynman rules, the mentioned approach was applied to the description of the photodisintegration of a deuteron.…”

Section: Introductionmentioning

confidence: 99%

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Two-Particle Photodisintegration of 4He: 4He(γ,d)d, 4He(γ,p)T, 4He(γ,n)3He

Koshchii

Kuznietsov

2014

Ukr. J. Phys.

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Using a covariant diagram technique and the concept of a nucleus as an elementary particle, we calculated the differential cross-sections for two-particle photodisintegration reactions of 4 He. The only functional parameter is the vertex structure function, which describes the "collapse" of 4 He nucleus and the nucleon remnants. The interaction of a real photon is determined by the value of particles charge, since the electromagnetic (EM) form factors are calculated at the photon point. The inseparability property of the electric charge from the particle mass allowed us to match the energy-momentum and charge conservation laws in the interaction. Therefore, the requirement of gauge symmetry is immediately satisfied. The covariant amplitude of the process equals to the sum of pole diagrams and the regular part, which is added to fulfil the EM current conservation requirement. K e y w o r d s: gauge invariance, vertex function, photodisintegration of 4 He, regular amplitude.

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Section: Process 4 He(𝛾 D)dmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two-Particle Photodisintegration of 4He: 4He(γ,d)d, 4He(γ,p)T, 4He(γ,n)3He

Koshchii

Kuznietsov

2014

Ukr. J. Phys.

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“…This amplitude corresponds to disintegration process of nonlocal scalar field into two scalar fragments [2]. Such amplitude has the shape as in fig.…”

Section: Electro-breakup Amplitude Limit In Photon Pointmentioning

confidence: 99%

“…It can be made by inclusion of generalized Minkowskii space supplemented by "charged" tangent space [2]. This operation is made on the basis of universality principle of EM interaction and inseparability property of mass and charge for fundamental particles.…”

Section: Introductionmentioning

confidence: 99%

Electron scattering disintegration processes on light nuclei in covariant approach

Kuznietsov

Kasatkin

Клепиков

2016

EPJ Web of Conferences

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We provide general analysis of electro-break up process of compound scalar system. We use covariant approach with conserved EM current, which gives the ability to include strong interaction into QED. Therefore, we receive the ability to describe disintegration processes on nonlocal matter fields applying standard Feynman rules of QED. Inclusion of phase exponent into wave function receives a physical sense while we deal with the dominance of strong interaction in the process. We apply Green's function (GF) formalism to describe disintegration processes. Generalized gauge invariant electro-break up process amplitude is considered. One is a sum of traditional pole series and the regular part. We explore the deposits of regular part of amplitude, and its physical sense. A transition from virtual to real photon considered in photon point limit . The general analysis for electro-break up process of component scalar system is given. Precisely conserved nuclear electromagnetic currents at arbitrary square of transited momentum are received. The only undefined quantity in theory is vertex function. Therefore, we have the opportunity to describe electron scattering processes taking into account minimal necessary set of parameters.

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