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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 in these a
Externí odkaz:
http://arxiv.org/abs/2305.09100
Autor:
Karmanov, V. A.
As well known, the spectrum of a non-relativistic two-body system interacting by the Coulomb potential is the Balmer series $E_n=\frac{\alpha^2m}{4n^2}$ produced by the Schr\"odinger equation. In 1954, Wick and Cutkosky have found, in the Bethe-Salpe
Externí odkaz:
http://arxiv.org/abs/2209.09816
Autor:
Karmanov, V. A.
Publikováno v:
Universe 2022, 8, 95
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 nucleons in
Externí odkaz:
http://arxiv.org/abs/2202.04875
Autor:
Karmanov, V. A.
Publikováno v:
Phys. Rev. D 104, 056012 (2021)
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 this equati
Externí odkaz:
http://arxiv.org/abs/2108.01853
Publikováno v:
Phys.Rev. D101 (2020) 096018
The structure of the three-boson bound state in Minkowski space is studied for a model with contact interaction. The Faddeev-Bethe-Salpeter equation is solved both in Minkowski and Euclidean spaces. The results are in fair agreement for comparable qu
Externí odkaz:
http://arxiv.org/abs/2005.07943
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 into the Co
Externí odkaz:
http://arxiv.org/abs/2001.00401
Bethe-Salpeter equation, for massless exchange and large fine structure constant $\alpha>\pi/4$, in addition to the Balmer series, provides another (abnormal) series of energy levels which are not given by the Schr\"odinger equation. So strong field
Externí odkaz:
http://arxiv.org/abs/1903.02892
The scalar three-body Bethe-Salpeter equation, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities appearing in the propagators are treated properly by standard
Externí odkaz:
http://arxiv.org/abs/1903.01741
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms of a smooth weight function g. By using the generalized Stieltjes transform, we derive an integral equation for the Nakanishi function g for a bound state case. It has the s
Externí odkaz:
http://arxiv.org/abs/1802.05515
Autor:
Karmanov, V. A.1 (AUTHOR) karmanovva@lebedev.ru
Publikováno v:
European Physical Journal C -- Particles & Fields. Jan2024, Vol. 84 Issue 1, p1-10. 10p.