arXiv subjects

S. S. Semikh

Publications and source records attributed to S. S. Semikh.

12 recordsLinked to original sources

arXiv2008

A Novel Approach in Solving the Spinor-Spinor Bethe-Salpeter Equation

To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is suitable for a representation of the vertex functions. We present a numerical algorithm to solve the Bethe-Salpeter equation and investigate in detail the properties of the solution for the scalar, pseudoscalar and vector meson exchange kernels including the stability of bound states. We also compare our results to the non relativistic ones and to the results given by light front dynamics.

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arXiv2007

Two-Fermion Bound States within the Bethe-Salpeter Approach

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arXiv2006

Peculiarities in the Structure of Two-Particle States within the Bethe-Salpeter Approach

The two-fermion bound system is an attractive subject of atomic and sub-atomic physics. Despite these systems are rather simple the study of two-particle bound states is challenging and still remains a source of progress in quantum theory. Here we present a new method of solving the Bethe Salpeter equations for the bound states of spinor particles by using the expansion of the vertex functions over the complete set of four-dimensional hyperspherical harmonics. Within this method the BS equation is treated in a ladder approximation for the cases of scalar, pseudoscalar and vector meson exchanges with corresponding form factors. This method is shown to be effective and stable.

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arXiv2004

Solving the inhomogeneous Bethe-Salpeter equation

We develop an advanced method of solving homogeneous and inhomogeneous Bethe-Salpeter equations by using the expansion over the complete set of 4-dimensional spherical harmonics. We solve Bethe-Salpeter equations for bound and scattering states of scalar and spinor particles for the case of one meson exchange kernels. Phase shifts calculated for the scalar model are in agreement with the previously published results. We discuss possible manifestations of separability for one meson exchange interaction kernels.

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arXiv2002

Tagging the p n -> d phi reaction by backward protons in p d -> d phi p_{sp} processes

The reaction p d -> d phi p_{sp} is studied within the Bethe-Salpeter formalism. Under special kinematical conditions (slow backward spectator proton p_{sp} and fast forward deuteron) relevant for forthcoming experiments at COSY, the cross section and a set of polarization observables factorize in the contribution of the pure subprocess p n -> d phi and a contribution stemming from deuteron quantities and kinematical factors. This provides a theoretical basis for studying threshold-near processes at quasi-free neutrons.

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arXiv2002

Relativistic effects in proton-induced deuteron break-up at intermediate energies with forward emission of a fast proton pair

Recent data on the reaction pD -> (pp) n with a fast forward pp pair with very small excitation energy is analyzed within a covariant approach based on the Bethe-Salpeter formalism. It is demonstrated that the minimum non-relativistic amplitude is completely masked by relativistic effects, such as Lorentz boost and the negative-energy P components in the 1S_0 Bethe-Salpeter amplitude of the pp pair.

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arXiv2002

Exclusive charge exchange reaction pD->n(pp) within the Bethe-Salpeter formalism

The exclusive charge exchange reaction pD->n(pp) at intermediate and high energies is studied within the Bethe-Salpeter formalism. The final state interaction in the detected pp pair at nearly zero excitation energy is described by the 1S0 component of the Bethe-Salpeter amplitude. Results of numerical calculations of polarization observables and differential cross-section persuade that, as in the non-relativistic case, this reaction (i) can be utilized as a ``relativistic deuteron polarimeter'' and (ii) delivers further information about the elementary nucleon-nucleon charge-exchange amplitude.

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arXiv2002

Final State Interaction within the Bethe-Salpeter Approach in Charge Exchange pD->n(pp) process

The exclusive charge exchange reaction pD->n(pp) at intermediate and high energies is studied within the Bethe-Salpeter formalism. The final state interaction in the detected at zero-near excitation energy pp-pair is described by the 1S0 component of the Bethe-Salpeter amplitude. Results of numerical calculations of polarization observables and differential cross-section persuade that, as in the non relativistic case, this reaction can be utilized for a relativistic deuteron tensor polarimeter and as a source of information about the elementary nucleon-nucleon charge exchange amplitude.

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arXiv2001

Charge-Exchange Reaction pD->n(pp) in the Bethe-Salpeter Approach

The deuteron charge - exchange reaction pD->n(pp) for the low values of momentum transfer and small excitation energies of final pp - pair is considered in the framework of Bethe - Salpeter approach. The method of calculation of the observables is developed for the case, when the pp - pair is in $^1S_0$ - state. The methodical numerical calculations of the differetial cross sections and tensor analysing powers are presented. The reaction under consideration is predicted to be a solid base for construction of the deuteron tensor polarimeter at high energies, and also to obtain some additional information about elementary nucleon - nucleon charge - exchange amplitude.

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arXiv1998

Pion Exchange Effects in Elastic Backward Proton-Deuteron Scattering

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the cross section and polarization observables are investigated in explicit form. Results of numerical calculations for the cross section, tensor analyzing power and spin transfers are presented. The one-pion exchange contribution is essential for describing the spin averaged cross section, while in polarization observables it is found to be less important.

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arXiv1997

Elastic Proton-Deuteron Backward Scattering: Relativistic Effects and Polarization Observables

The elastic proton-deuteron backward reaction is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Lorentz boost and other relativistic effects in the cross section and spin correlation observables, like tensor analyzing power and polarization transfer etc., are investigated in explicit form. Results of numerical calculations for a complete set of polarization observables are presented.

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arXiv1996

Relativistic Description of Exclusive Deuteron Breakup Reactions

The exclusive deuteron break-up reaction is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Relativistic effects in the cross section, tensor analyzing power and polarization transfer are investigated in explicit form. Results of numerical calculations are presented for kinematical conditions in forthcoming p + D reactions at COSY.

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