Separable Kernel

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S G Bondarenko - One of the best experts on this subject based on the ideXlab platform.

  • relativistic rank one Separable Kernel for helium 3 charge form factor
    Nuclear Physics, 2020
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    Abstract Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a Separable rank-one Kernel of the nucleon-nucleon interaction. The contribution of partial-wave states with nonzero orbital moment of a nucleon pair is investigated. The static approximation and additional relativistic corrections for the He 3 charge form factor are calculated for the momentum transfer squared up to 100 fm−2. The contribution of the D 1 3 partial-wave state and relativistic corrections are found to be sizable at high energies.

  • the rank one Separable interaction Kernel for nucleons with scalar propagator
    Physics of Particles and Nuclei Letters, 2018
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    In the paper the covariant Kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe–Salpeter equation for the T matrix is considered in the rank-one Separable Kernel. The parameters of the Kernel for the specific partial-wave channels explicitly connect with the observables low energy scattering parameters and phase shifts, deuteron binding energy. Covariant Separable Kernels for the partial-wave channels with total angular momentum J = 0 (1S0, 3P0) and J =1 (3S1 − 3D1, 1P1, 3P1) are constructed.

  • covariant relativistic Separable Kernel approach for electrodisintegration of the deuteron at high momentum transfer
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya
    Abstract:

    The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe-Salpeter approach with a Separable Kernel of nucleon-nucleon interactions. The results have been obtained using the relativistic plane wave impulse approximation and compared with experimental data and other models. The influence of nucleon electromagnetic form factors has been investigated.

  • covariant Separable Kernel of the deuteron
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, W Pauchy Y Hwang, E Rogochaya
    Abstract:

    The six-rank Separable Kernel of the neutron-proton interaction for the triplet coupled $^3S_1^+$-$^3D_1^+$ partial state within the covariant Bethe-Salpeter approach is constructed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the Kernel are considered. Parameters of the Kernel are defined from the description of phase shifts and low-energy characteristics in the elastic neutron-proton scattering. At the same time the half-off-shell behavior of the Kernel is controlled by the appropriate description of the Noyes-Kowalski function and the deuteron properties.

  • on the covariant relativistic Separable Kernel
    arXiv: Nuclear Theory, 2008
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya, Y Yanev
    Abstract:

    Two different methods of the covariant relativistic Separable Kernel construction in the Bethe-Salpeter approach are considered. One of them leads in the center-of-mass system of two particles to the quasipotential equation. The constructed 4-dimensional covariant functions are used to reproduce neutron-proton phase shifts for total angular momenta $J=0,1$. Obtained results are compared with other model calculations.

V V Burov - One of the best experts on this subject based on the ideXlab platform.

  • relativistic rank one Separable Kernel for helium 3 charge form factor
    Nuclear Physics, 2020
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    Abstract Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a Separable rank-one Kernel of the nucleon-nucleon interaction. The contribution of partial-wave states with nonzero orbital moment of a nucleon pair is investigated. The static approximation and additional relativistic corrections for the He 3 charge form factor are calculated for the momentum transfer squared up to 100 fm−2. The contribution of the D 1 3 partial-wave state and relativistic corrections are found to be sizable at high energies.

  • the rank one Separable interaction Kernel for nucleons with scalar propagator
    Physics of Particles and Nuclei Letters, 2018
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    In the paper the covariant Kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe–Salpeter equation for the T matrix is considered in the rank-one Separable Kernel. The parameters of the Kernel for the specific partial-wave channels explicitly connect with the observables low energy scattering parameters and phase shifts, deuteron binding energy. Covariant Separable Kernels for the partial-wave channels with total angular momentum J = 0 (1S0, 3P0) and J =1 (3S1 − 3D1, 1P1, 3P1) are constructed.

  • covariant relativistic Separable Kernel approach for electrodisintegration of the deuteron at high momentum transfer
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya
    Abstract:

    The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe-Salpeter approach with a Separable Kernel of nucleon-nucleon interactions. The results have been obtained using the relativistic plane wave impulse approximation and compared with experimental data and other models. The influence of nucleon electromagnetic form factors has been investigated.

  • covariant Separable Kernel of the deuteron
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, W Pauchy Y Hwang, E Rogochaya
    Abstract:

    The six-rank Separable Kernel of the neutron-proton interaction for the triplet coupled $^3S_1^+$-$^3D_1^+$ partial state within the covariant Bethe-Salpeter approach is constructed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the Kernel are considered. Parameters of the Kernel are defined from the description of phase shifts and low-energy characteristics in the elastic neutron-proton scattering. At the same time the half-off-shell behavior of the Kernel is controlled by the appropriate description of the Noyes-Kowalski function and the deuteron properties.

  • on the covariant relativistic Separable Kernel
    arXiv: Nuclear Theory, 2008
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya, Y Yanev
    Abstract:

    Two different methods of the covariant relativistic Separable Kernel construction in the Bethe-Salpeter approach are considered. One of them leads in the center-of-mass system of two particles to the quasipotential equation. The constructed 4-dimensional covariant functions are used to reproduce neutron-proton phase shifts for total angular momenta $J=0,1$. Obtained results are compared with other model calculations.

Ahmad Zuri Shaameri - One of the best experts on this subject based on the ideXlab platform.

  • adaptive optimal Kernel smooth windowed wigner ville distribution for digital communication signal
    EURASIP Journal on Advances in Signal Processing, 2008
    Co-Authors: Ahmad Zuri Shaameri
    Abstract:

    Time-frequency distributions (TFDs) are powerful tools to represent the energy content of time-varying signal in both time and frequency domains simultaneously but they suffer from interference due to cross-terms. Various methods have been described to remove these cross-terms and they are typically signal-dependent. Thus, there is no single TFD with a fixed window or Kernel that can produce accurate time-frequency representation (TFR) for all types of signals. In this paper, a globally adaptive optimal Kernel smooth-windowed Wigner-Ville distribution (AOK-SWWVD) is designed for digital modulation signals such as ASK, FSK, and M-ary FSK, where its Separable Kernel is determined automatically from the input signal, without prior knowledge of the signal. This optimum Kernel is capable of removing the cross-terms and maintaining accurate time-frequency representation at SNR as low as 0 dB. It is shown that this system is comparable to the system with prior knowledge of the signal.

  • Separable Kernel design for bilinear time frequency analysis of digital modulation signals
    International Symposium on Communications and Information Technologies, 2007
    Co-Authors: Tan Jo Lynn, Ahmad Zuri Shaameri
    Abstract:

    Time-frequency distributions (TFD's) are powerful tools to re present the energy content of time-varying signal in both time and frequency domain simultaneously. One of the limitations in this method is the presence of interference in the time-frequency representations (TFR's) caused by the cross terms. Various methods have been researched to remove these cross-terms. However, there is no single TFD with a fixed window or Kernel that could perform well for all type of signals. In this paper, Separable Kernel with its parameters determined mathematically from the digital modulated signal is designed. This optimum Kernel is capable of removing the cross-terms and maintaining accurate time-frequency representation for ASK, FSK and M-ary FSK signals. It is shown that signals with different parameters, such as frequencies and bit-duration, require different setting in order to get the optimum time-frequency representation. A simple guideline to determine the Separable Kernel parameters are presented.

Sergey Yurev - One of the best experts on this subject based on the ideXlab platform.

  • relativistic rank one Separable Kernel for helium 3 charge form factor
    Nuclear Physics, 2020
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    Abstract Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a Separable rank-one Kernel of the nucleon-nucleon interaction. The contribution of partial-wave states with nonzero orbital moment of a nucleon pair is investigated. The static approximation and additional relativistic corrections for the He 3 charge form factor are calculated for the momentum transfer squared up to 100 fm−2. The contribution of the D 1 3 partial-wave state and relativistic corrections are found to be sizable at high energies.

  • the rank one Separable interaction Kernel for nucleons with scalar propagator
    Physics of Particles and Nuclei Letters, 2018
    Co-Authors: S G Bondarenko, V V Burov, Sergey Yurev
    Abstract:

    In the paper the covariant Kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe–Salpeter equation for the T matrix is considered in the rank-one Separable Kernel. The parameters of the Kernel for the specific partial-wave channels explicitly connect with the observables low energy scattering parameters and phase shifts, deuteron binding energy. Covariant Separable Kernels for the partial-wave channels with total angular momentum J = 0 (1S0, 3P0) and J =1 (3S1 − 3D1, 1P1, 3P1) are constructed.

E Rogochaya - One of the best experts on this subject based on the ideXlab platform.

  • covariant relativistic Separable Kernel approach for electrodisintegration of the deuteron at high momentum transfer
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya
    Abstract:

    The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe-Salpeter approach with a Separable Kernel of nucleon-nucleon interactions. The results have been obtained using the relativistic plane wave impulse approximation and compared with experimental data and other models. The influence of nucleon electromagnetic form factors has been investigated.

  • covariant Separable Kernel of the deuteron
    arXiv: Nuclear Theory, 2010
    Co-Authors: S G Bondarenko, V V Burov, W Pauchy Y Hwang, E Rogochaya
    Abstract:

    The six-rank Separable Kernel of the neutron-proton interaction for the triplet coupled $^3S_1^+$-$^3D_1^+$ partial state within the covariant Bethe-Salpeter approach is constructed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the Kernel are considered. Parameters of the Kernel are defined from the description of phase shifts and low-energy characteristics in the elastic neutron-proton scattering. At the same time the half-off-shell behavior of the Kernel is controlled by the appropriate description of the Noyes-Kowalski function and the deuteron properties.

  • on the covariant relativistic Separable Kernel
    arXiv: Nuclear Theory, 2008
    Co-Authors: S G Bondarenko, V V Burov, E Rogochaya, Y Yanev
    Abstract:

    Two different methods of the covariant relativistic Separable Kernel construction in the Bethe-Salpeter approach are considered. One of them leads in the center-of-mass system of two particles to the quasipotential equation. The constructed 4-dimensional covariant functions are used to reproduce neutron-proton phase shifts for total angular momenta $J=0,1$. Obtained results are compared with other model calculations.