The Method of Unitary Clothing Transformations in Quantum Field Theory: Applications in the Theory of Nuclear Forces and Reactions

V., A.

doi:10.5772/37563

Cited by 4 publications

(2 citation statements)

References 32 publications

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“…This value surprisingly coincides with those estimations given in [7] (see formula (1.1) therein). In order to verify such a coincidence beyond the perturbation theory, we are addressing the partial wave decomposition of the positronium eigenvectors that has been successful when finding the u and w components of the deuteron wave function (WF) [8].…”

Section: H|p-ps(p)〉 = E|p-ps(p)〉mentioning

confidence: 99%

QED in the clothed-particle representation: a fresh look at positronium properties treatment

Kostylenko

Arslanaliev

2020

SciPost Phys. Proc.

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We have extended our previous applications of the method of unitary clothing transformations (UCTs) in mesodynamics [1,2] to quantum electrodynamics (QED) [3,4]. An analytical expression for the QED Hamiltonian in the clothed-particle representation (CPR) has been derived. Its distinctive feature is the appearance of a new family of the Hermitian and energy independent interaction operators built up in the e^2e2-order for the clothed electrons and positrons instead the primary canonical interaction between electromagnetic and electron-positron fields. The problem of describing the bound states in QED in case of the positronium system has been considered. The first correction to the energy of the ground state of the para-positronium and its decay rate to two photons has been calculated by using the new interaction operators.

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Section: H|p-ps(p)〉 = E|p-ps(p)〉mentioning

confidence: 99%

QED in the clothed-particle representation: a fresh look at positronium properties treatment

Kostylenko

Arslanaliev

2020

SciPost Phys. Proc.

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“…where c † is the creation operator for the clothed photon. Similarly to (8), we separate offenergy-shell part which goes to zero if energy conservation law satisfied…”

Section: Analytical Expressionsmentioning

confidence: 99%

Report on scipost_201910_00018v1

2019

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We have extended our previous applications of the method of unitary clothing transformations (UCTs) in mesodynamics [1, 2] to quantum electrodynamics (QED) [3, 4]. An analytical expression for the QED Hamiltonian in the clothed-particle representation (CPR) has been derived. Its distinctive feature is the appearance of a new family of the Hermitian and energy independent interaction operators built up in the e 2 -order for the clothed electrons and positrons instead the primary canonical interaction between electromagnetic and electron-positron fields. The problem of describing the bound states in QED in case of the positronium system has been considered. The first correction to the energy of the ground state of the para-positronium and its decay rate to two photons has been calculated by using the new interaction operators.

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Possible Extension of the Three-body Force by the Unitary Clothing Transformations Method in the Faddeev Equations

et al. 2021

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The Method of Unitary Clothing Transformations in Quantum Field Theory: Applications in the Theory of Nuclear Forces and Reactions

Cited by 4 publications

References 32 publications

QED in the clothed-particle representation: a fresh look at positronium properties treatment

QED in the clothed-particle representation: a fresh look at positronium properties treatment

Report on scipost_201910_00018v1

Possible Extension of the Three-body Force by the Unitary Clothing Transformations Method in the Faddeev Equations

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