The geometrical aspect of the gauge fields and the possibility of a general description of local and nonlocal interaction in QED

Kasatkin, Yu. A.

doi:10.1134/s1547477109010051

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…In order to write down the amplitude of the process 4 He(𝛾, d)d, we follow the approach described in [2]. In that paper, the problem of ensuring the gradient invariance of the amplitude was solved by choosing the following reaction mechanism: the contact diagram was added to the known field-theoretic row.…”

Section: Process 4 He(𝛾 D)dmentioning

confidence: 99%

“…Thus, there is the additional uninvestigated interaction in EM processes, which forms a bounded state and, at the same time, originates all difficulties in using the Lagrangian approach. A nonlocal nature of the strong interaction, which appears in vertices that describe the disintegration of a compound strongly coupled nuclear system into constituents, does not allow us to "add" properly 2 the EM field to the Lagrangian. As a result of this bewildering fact, a vast number of nonrelativistic approaches, which describe photonuclear reactions, appeared.…”

Section: Introductionmentioning

confidence: 99%

“…The approach that considers a possibility to construct an analogous Lagrangian that can describe a nonlocal and EM field interactions was proposed in papers [1,2]. It satisfies the universality principle.…”

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%

Section: Introductionmentioning

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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“…In papers [3,4] the possibility to involve the non-local matter fields into the standard quantum electrodynamics (QED) was generated. ) were calculated [5,6] on the basis of this approach.…”

Section: Introductionmentioning

confidence: 99%

⁴He(γ,d)dand³He(γ,p)dreactions in nonlocal covariant model

Kasatkin¹,

Kuznietsov²,

Koshchii

et al. 2014

EPJ Web of Conferences

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Abstract. Photonuclear reaction research is of great interest to obtain information about the structure of nuclei. The investigation of structural effects requires certain insights into the reaction mechanisms, that have to be identified on the basis of the fundamental principles of covariance and gauge invariance. The major achievement of the chosen model is the ability to reproduce the cross-section dependence using the minimal necessary set of parameters. We analyze the two-particle disintegration of ‫݁ܪ‬ ଷ nuclei by photons. Our interest was raised by the fact that ‫݁ܪ‬ ଷ is the simplest many-particle system which admits an exact solutions. We also consider the process ‫݁ܪ‬ሺߛ, ݀ሻ݀ ସ . This process comes at the expense of the quadrupole absorption of γ-rays, while the dipole transition is suppressed. This property is a consequence of the isospin selection as well as the identity of the particles in the final state. Obtained results describe the energy range from threshold (20 MeV) to 140 MeV. Therefore, the model mentioned in the paper has the peculiarity to be valid not only for the low-energy regime, but also for higher energies. Present paper is devoted to determine the roles of different reaction mechanisms and to solve problems above.

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