V. A. Karmanov
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View article: Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory Open
A bstract We compute the gravitational form factors A i , D i and $$ {\overline{c}}_i $$ of the scalar Yukawa theory using both the light-cone and covariant perturbation theory at the one-loop level. The light-cone formalism provides…
View article: Abnormal solutions of Bethe--Salpeter equation with massless and massive exchanges
Abnormal solutions of Bethe--Salpeter equation with massless and massive exchanges Open
We summarize the main properties of the so called ''abnormal solutions'' of the Wick--Cutkosky model, i.e. two massive scalar particles interacting via massless scalar exchange ("photons"), within the Bethe--Salpeter equation. These soluti…
View article: Abnormal states with unequal constituent masses
Abnormal states with unequal constituent masses Open
The Bethe–Salpeter equation for system of two oppositely charged particles not only reproduces the Coulomb spectrum, but, for enough large coupling constant $${\mathcal C}>\frac{\pi }{4}$$ , predicts additional levels not predicted …
View article: Abnormal states with unequal constituent masses
Abnormal states with unequal constituent masses Open
The Bethe-Salpeter equation for system of two oppositely charged particles not only reproduces the Coulomb spectrum, but, for enough large coupling constant ${\cal C}>\fracπ{4}$, predicts additional levels not predicted by the Schrödinger …
View article: On cancellation of non-adiabatic and off-shell effects in the antiproton annihilation in deuteron
On cancellation of non-adiabatic and off-shell effects in the antiproton annihilation in deuteron Open
As known, some approximate approaches to the hadron scattering from nuclei work rather well far beyond the limits of their applicability. This was explained by cancellation of the contributions (non-adiabatic and off-shell effects) omitted…
View article: Abnormal Bound Systems
Abnormal Bound Systems Open
It is taken for granted that bound systems are made of massive constituents that interact through particle exchanges (charged particles interacting via photon exchanges, quarks in elementary particles interacting via gluon exchanges, and n…
View article: New form of kernel in equation for Nakanishi function
New form of kernel in equation for Nakanishi function Open
The Bethe-Salpeter amplitude $\Phi(k,p)$ is expressed, by means of the Nakanishi integral representation, via a smooth function $g(\gamma,z)$. This function satisfies a canonical equation $g=Ng$. However, calculations of the kernel $N$ in …
View article: Three-boson bound states in Minkowski space with contact interactions
Three-boson bound states in Minkowski space with contact interactions Open
The structure of the three-boson bound state in Minkowski space is studied\nfor a model with contact interaction. The Faddeev-Bethe-Salpeter equation is\nsolved both in Minkowski and Euclidean spaces. The results are in fair\nagreement for…
View article: Structure and EM form factors of purely relativistic systems
Structure and EM form factors of purely relativistic systems Open
The Bethe-Salpeter equation for two massive scalar particles interacting by scalar massless exchange has solutions of two types, which differ from each other by their behavior in the non-relativistic limit: the normal solutions which turn …
View article: Studies of three-body bound states with zero-range interaction in Minkowski space
Studies of three-body bound states with zero-range interaction in Minkowski space Open
The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, has been solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities appearing in the propagators were handl…
View article: Bethe-Salpeter approach to three-body bound states with zero-range interaction
Bethe-Salpeter approach to three-body bound states with zero-range interaction Open
The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities occuring in the propagators are treated prope…
View article: Bound state equation for the Nakanishi weight function
Bound state equation for the Nakanishi weight function Open
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi using a\ntwo-dimensional integral representation, in terms of a smooth weight function\n$g$, which carries the detailed dynamical information. A similar, but\none-dimensio…
View article: Bound state structure and electromagnetic form factor beyond the ladder approximation
Bound state structure and electromagnetic form factor beyond the ladder approximation Open
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View article: Euclidean to Minkowski Bethe–Salpeter amplitude and observables
Euclidean to Minkowski Bethe–Salpeter amplitude and observables Open
\n We propose a method to reconstruct the Bethe–Salpeter amplitude in Minkowski space given the Euclidean Bethe–Salpeter amplitude – or alternatively the light-front wave function – as input. The method is based on the numerical inversion …
View article: Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations Open
The light-front Tamm-Dancoff method of finding the nonperturbative solutions in field theory is based on the Fock decomposition of the state vector, complemented by the sector-dependent nonperturbative renormalization scheme. We show in de…
View article: Zero energy scattering calculation in Euclidean space
Zero energy scattering calculation in Euclidean space Open
We show that the Bethe-Salpeter equation for the scattering amplitude in the\nlimit of zero incident energy can be transformed into a purely Euclidean form,\nas it is the case for the bound states. The decoupling between Euclidean and\nMin…