Spin content of quantum solitons

Dubikovsky, A. I.; Sveshinikov,

doi:10.1016/0370-2693(94)90330-1

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…For the quantities like charge and spin, which should be also shared by vacuum shells if the spontaneous emission takes place, there are much less questions due to extended models of baryons as topological quantum solitons, including skyrmeons [33], chiral quark-pion models [34] and/or chiral bags [35]. Apart from charge and spin, which can be defined as extended quantities for a quantum soliton in a general framework [24,36], these models define also the baryon number by means of the non-trivial topology of underlying σ-fields as a conserved quantity with extended spatial distribution. But the lepton number is different, since so far leptons show up as point-like particles with no indications on existence of any kind intrinsic structure.…”

Section: Discussionmentioning

confidence: 99%

Lepton Number vs Coulomb Super-Criticality

Krasnov¹,

Sveshnikov²

2022

Preprint

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The non-perturbative effects of QED-vacuum reconstruction under influence of a supercritical EM-source (Z > Zcr,1) are considered in view of lepton number conservation. The question is here that if the vacuum shells formation and spontaneous positron emission, associated with discrete levels diving into the lower continuum, exist in reality, then it by no means should be a signal of new physics. The reason is that the emitted positrons carry away the lepton number equal to (−1)×their total number, and so the corresponding amount of positive lepton number should be shared by VP-density, concentrated in vacuum shells. In this case instead of integer lepton number of real particles there should appear the lepton number VP-density. Otherwise either the lepton number conservation in such processes must be broken, or the spontaneous positron emission prohibited. The conditions, under which the emission of vacuum positrons can be unambiguously detected on the nuclear conversion pairs background, are also discussed.1 In recent papers [4,6] the nuclear conversion pairs are denoted as created by dynamical pair-production mechanism, while the vacuum positrons as coming from the spontaneous one. It should be noted, however, that these two processes are quite different, since the conversion produces real e − from the lowest K , L , . . . atomic shells and/or real e + e − pairs, whereas the spontaneous one results in positron emission combined with vacuum shells formation.

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Section: Discussionmentioning

confidence: 99%

Lepton Number vs Coulomb Super-Criticality

Krasnov¹,

Sveshnikov²

2022

Preprint

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Non-perturbative effects in the QED-vacuum energy exposed to the supercritical Coulomb field

Krasnov

Sveshnikov

2022

Mod. Phys. Lett. A

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Non-perturbative effects of the QED-vacuum reconstruction exposed to the supercritical Coulomb field are considered with emphasis on the behavior of the vacuum energy [Formula: see text]. It is shown that in the supercritical region [Formula: see text] turns out to be a decreasing function of the Coulomb source, resulting in decay into the negative range as [Formula: see text], and that it is indeed the decline of [Formula: see text], which provides the required energy for (presumably possible) positron emission. The properties of the resonance decay, found this way, are in agreement with those achieved by other methods. The additional problems of spontaneous emission, caused by lepton number conservation, are also discussed.

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Space Symmetries and Quantum Behavior of Finite Energy Configurations in Su(2)-Gauge Theory

Shurgaia

Müller-Kirsten

2007

Int. J. Mod. Phys. A

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The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant g is constructed, taking into account the conservation laws of momentum and angular momentum (invariance of the action with respect to the group of motion M (3) of 3dimensional Euclidean space) rigorously in every order of perturbation theory.

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Spin content of quantum solitons

Cited by 3 publications

References 17 publications

Lepton Number vs Coulomb Super-Criticality

Lepton Number vs Coulomb Super-Criticality

Non-perturbative effects in the QED-vacuum energy exposed to the supercritical Coulomb field

Space Symmetries and Quantum Behavior of Finite Energy Configurations in Su(2)-Gauge Theory

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