Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics C

Nuclear Spin Transverse Response Function

W Uang

Published Jan 1, 1993• 0 citations
OpenAlex

Abstract

The spin transverse response functions for ~(40)Ca and ~(12)C in different approximations have been calculated. By using the coupled RPA equations for polarization propagator including the delta degree of freedom, the influence of the delta on the response function has been investigated. The results show that they are reduced explicitly. Introducing the energy dependent effective nucleon mass, which embodies the manybody ef ects, the satisfactory results are obtained.

Related papers

Elementary excitations of spin-aligned deuterium

R. D. Davé, J. W. Clark, Robert M. Panoff

The correlated-basis methods applied earlier to nuclear-spin-polarized liquid $^{3}\mathrm{He}$ are extended to electron-spin-aligned deuterium with one available nuclear spin state (D${\ensuremath{\downarrow}}_{1}$). Results are obtained for the linear response function and zero-sound mode using the local correlated random-phase approximation. The self-energy, single-particle spectrum and effective mass are calculated within the same framework.

Physical review. B, Condensed matter•Jan 1, 1990•5 citations

Spin-Density Response Function in a 2D Electron System under a Magnetic Field

Kanako Yoshizawa, Natsuko Hirano, Kazuo Takayanagi

We study the spin density response function in a two-dimensional electron system under a strong perpendicular magnetic field. The theoretical framework is the extended RPA which takes into account all the second order self-energies of particle-hole propagators. Our results reproduce the data obtained by a light scattering experiment. We clarify how the extended RPA explains the empirical findings which are different even qualitatively from the RPA response. Especially the important role played by the two-particle-two-hole degrees of freedom is stressed.

Physical Review Letters•Aug 8, 2003•4 citations

Spectral properties of nuclear matter

We review self-consistent spectral methods for nuclear matter calculations. The in-medium T −matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T −matrix approximation allows to address the pairing phenomenon in cold nuclear matter. A generalization of nuclear matter calculations to the superfluid phase is discussed and numerical results are presented for this case. The linear response of a correlated system going beyond the Hartree-Fock+ Random-Phase-Approximation (RPA) scheme is studied. The polarization is obtained by solving a consistent Bethe-Salpeter (BS) equation for the coupling of dressed nucleons to an external field. We find that multipair contributions are important for the spin(isospin) response when the interaction is spin(isospin) dependent. 1

•Jan 1, 2008•0 citations

Spectral properties of nuclear matter

Piotr Bożek

We review self-consistent spectral methods for nuclear matter calculations. The in-medium T -matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T -matrix approximation allows to address the pairing phenomenon in cold nuclear matter. A generalization of nuclear matter calculations to the super.uid phase is discussed and numerical results are presented for this case. The linear response of a correlated system going beyond the Hartree-Fock+ Random-Phase-Approximation (RPA) scheme is studied. The polarization is obtained by solving a consistent Bethe-Salpeter (BS) equation for the coupling of dressed nucleons to an external field. We find that multipair contributions are important for the spin(isospin) response when the interaction is spin(isospin) dependent.

arXiv:nucl-th/0508063•Journal of Physics Conference Series•Apr 1, 2006•0 citations

Nuclear dynamics in time-dependent picture

Takashi Nakatsukasa, Makoto Ito, Kazuhiro Yabana

Abstract. Using the time-dependent theory of quantum mechanics, we investigate nuclear electric dipole responses. The time evolution of a wave function is explicitly calculated in the coordinatespace representation. The particle continuum is treated with the absorbing boundary condition. Calculated time-dependent quantities are transformed into those of familiar energy representation. We apply the method to a three-body model for 11 Li and to the mean-field model for 22 O, then discuss properties of E1 response. TIME-DEPENDENT METHOD FOR NUCLEAR RESPONSES Atomic nuclei exhibit a variety of responses to different experimental probes; Coulomb and nuclear excitations, spin- and isospin-dependent probes, high- and low-energy reactions. In order to investigate properties of these nuclear excitations, it is useful to study response function for a probe (external) operator of interest. Normally, these quantum many-body problems are theoretically studied using the energy representation, in which calculations are carried out by either diagonalizing the Hamiltonian matrices or solving differential equations with a fixed energy. These approaches are advantageous when we are interested in states within a limited energy range. However, when we calculate

•Jan 1, 2006•0 citations

Finite velocity meson exchange in nuclei

Michael A. Crecca, G. E. Walker

Many-body techniques are used to develop a practical formalism for including an energy-transfer dependence in the nucleon-nucleon interaction used in nuclear linear response models. An energy-transfer dependence is naturally expected from the exchange of finite mass, finite velocity mesons. The formalism is applied in a Tamm-Dancoff approximation model structure calculation for $^{16}\mathrm{O}$. The importance of meson retardation effects on the structure calculation is studied as a function of the magnitude of unperturbed particle-hole energies. The relative importance of ring and ladder contributions is also investigated. It is found that retardation effects can become qualitatively important when particle-hole energies are comparable to the mass of the exchanged meson as would be the case for ${\mathit{N}}^{\mathrm{*}}$ particle-nucleon hole configurations. While ladder kernels exhibit a significant energy-transfer dependence, the actual results obtained including retardation when solving for the ladder polarization propagator follow closely the results obtained using an instantaneous ladder kernel. This result suggests a simple procedure for including retardation effects.

Physical Review C•Apr 1, 1991•2 citations
The spin transverse response functions for ~(40)Ca and ~(12)C in different approximations have been calculated. By using the coupled RPA equations for polarization propagator including the delta degree of freedom, the influence of the delta on the response function has been investigated. The results show that they are reduced explicitly. Introducing the energy dependent effective nucleon mass, which embodies the manybody ef ects, the satisfactory results are obtained.
The correlated-basis methods applied earlier to nuclear-spin-polarized liquid 3He^{3}\mathrm{He}3He are extended to electron-spin-aligned deuterium with one available nuclear spin state (D${\ensuremath{\downarrow}}_{1}$). Results are obtained for the linear response function and zero-sound mode using the local correlated random-phase approximation. The self-energy, single-particle spectrum and effective mass are calculated within the same framework.
We study the spin density response function in a two-dimensional electron system under a strong perpendicular magnetic field. The theoretical framework is the extended RPA which takes into account all the second order self-energies of particle-hole propagators. Our results reproduce the data obtained by a light scattering experiment. We clarify how the extended RPA explains the empirical findings which are different even qualitatively from the RPA response. Especially the important role played by the two-particle-two-hole degrees of freedom is stressed.
We review self-consistent spectral methods for nuclear matter calculations. The in-medium T −matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T −matrix approximation allows to address the pairing phenomenon in cold nuclear matter. A generalization of nuclear matter calculations to the superfluid phase is discussed and numerical results are presented for this case. The linear response of a correlated system going beyond the Hartree-Fock+ Random-Phase-Approximation (RPA) scheme is studied. The polarization is obtained by solving a consistent Bethe-Salpeter (BS) equation for the coupling of dressed nucleons to an external field. We find that multipair contributions are important for the spin(isospin) response when the interaction is spin(isospin) dependent. 1
We review self-consistent spectral methods for nuclear matter calculations. The in-medium T -matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T -matrix approximation allows to address the pairing phenomenon in cold nuclear matter. A generalization of nuclear matter calculations to the super.uid phase is discussed and numerical results are presented for this case. The linear response of a correlated system going beyond the Hartree-Fock+ Random-Phase-Approximation (RPA) scheme is studied. The polarization is obtained by solving a consistent Bethe-Salpeter (BS) equation for the coupling of dressed nucleons to an external field. We find that multipair contributions are important for the spin(isospin) response when the interaction is spin(isospin) dependent.
Abstract. Using the time-dependent theory of quantum mechanics, we investigate nuclear electric dipole responses. The time evolution of a wave function is explicitly calculated in the coordinatespace representation. The particle continuum is treated with the absorbing boundary condition. Calculated time-dependent quantities are transformed into those of familiar energy representation. We apply the method to a three-body model for 11 Li and to the mean-field model for 22 O, then discuss properties of E1 response. TIME-DEPENDENT METHOD FOR NUCLEAR RESPONSES Atomic nuclei exhibit a variety of responses to different experimental probes; Coulomb and nuclear excitations, spin- and isospin-dependent probes, high- and low-energy reactions. In order to investigate properties of these nuclear excitations, it is useful to study response function for a probe (external) operator of interest. Normally, these quantum many-body problems are theoretically studied using the energy representation, in which calculations are carried out by either diagonalizing the Hamiltonian matrices or solving differential equations with a fixed energy. These approaches are advantageous when we are interested in states within a limited energy range. However, when we calculate
Many-body techniques are used to develop a practical formalism for including an energy-transfer dependence in the nucleon-nucleon interaction used in nuclear linear response models. An energy-transfer dependence is naturally expected from the exchange of finite mass, finite velocity mesons. The formalism is applied in a Tamm-Dancoff approximation model structure calculation for 16O^{16}\mathrm{O}16O. The importance of meson retardation effects on the structure calculation is studied as a function of the magnitude of unperturbed particle-hole energies. The relative importance of ring and ladder contributions is also investigated. It is found that retardation effects can become qualitatively important when particle-hole energies are comparable to the mass of the exchanged meson as would be the case for N∗{\mathit{N}}^{\mathrm{*}}N∗ particle-nucleon hole configurations. While ladder kernels exhibit a significant energy-transfer dependence, the actual results obtained including retardation when solving for the ladder polarization propagator follow closely the results obtained using an instantaneous ladder kernel. This result suggests a simple procedure for including retardation effects.