Effect Of Tensor Interaction Research Articles

Effects of two-particle–two-hole configurations and tensor force on β decay of magic nuclei

The $\ensuremath{\beta}$-decay half-lives of four semimagic and magic nuclei, $^{34}\mathrm{Si}, ^{68,78}\mathrm{Ni}$, and $^{132}\mathrm{Sn}$, have been investigated using the self-consistent Hartree-Fock (HF) plus subtracted second random-phase approximation (SSRPA) model with Skyrme energy density functions (EDFs). The inclusion of the two-particle--two-hole (2p-2h) configurations in SSRPA model shifts low-lying Gamow-Teller (GT) states downward. It leads to an increase of the $\ensuremath{\beta}$-decay phase space, which ensures the half-lives of the four nuclei are finite and reduces the $\ensuremath{\beta}$-decay half-lives dramatically. The effect of tensor interaction on the $\ensuremath{\beta}$-decay half-life in the SSRPA model is to change the half-lives greatly by about one to two orders of magnitude with respect to the ones obtained without tensor force.

Gamow-Teller transitions in magic nuclei calculated by the charge-exchange subtracted second random-phase approximation

The Gamow-Teller (GT) transitions in four magic nuclei, $^{48}\mathrm{Ca}, ^{90}\mathrm{Zr}, ^{132}\mathrm{Sn}$, and $^{208}\mathrm{Pb}$, are studied using a self-consistent Hartree-Fock (HF) plus charge-exchange subtracted second random-phase approximation (SSRPA) model with several Skyrme energy density functions (EDFs). These calculations show that SSRPA improves systematically the description of main GT strength distributions in terms of the excitation energy and the peak height. The quenching factors are evaluated to be 13--20% of the Ikeda sum rule for $^{48}\mathrm{Ca}, ^{90}\mathrm{Zr}$, and $^{132}\mathrm{Sn}$, due to the couplings to two-particle--two-hole (2p-2h) configurations. Also examined are the effects of tensor interactions on the excitation energies and the quenching factors of GT strength distributions.

Understanding Effect of Tensor Interactions on Structure of Light Atomic Nuclei

Understanding Effect of Tensor Interactions on Structure of Light Atomic Nuclei

Tensor Interaction Effects on Stellar Electron Capture and Beta-Decay Rates

The Gamow–Teller strength functions as well as electron capture and $$\beta$$ decay rates for $${}^{56,78}$$ Ni in hot stellar environment are calculated within a thermodynamically consistent approach based on the thermal quasiparticle RPA. We present a thorough analysis of the tensor interaction effects on the GT strength functions at zero and finite temperatures. To this aim we use self-consistent calculations with the Skyrme interaction. Several Skyrme interactions are used in order to verify the sensitivity of the obtained results to the Skyrme force parameters. It is pointed out that finite temperature amplifies the effect of tensor correlations on the GT strength functions. Our calculations of electron capture and $$\beta$$ decay rates demonstrate the importance of the tensor interaction for simulation of supernova weak-interaction processes.

Contributions of optimized tensor interactions on the binding energies of nuclei

The tensor parts of Skyrme interactions are constrained from the collective charge-exchange spin–dipole and Gamow–Teller excitation energies in $$^{90}$$Zr and $$^{208}$$Pb, together with the isotopic dependence of energy splitting between proton $$h_{11/2}$$ and $$g_{7/2}$$ single-particle orbits along the $$Z=50$$ isotopes. With the optimized tensor interactions, the binding energies of spherical or weakly deformed nuclei with $$A=54{-}228$$ are studied systematically. The present results show that the global effect of tensor interaction is attractive and systematically increases the binding energies of all these nuclei and makes the nuclei more bound. The root mean squared deviation of the calculated binding energies from the experimental values is significantly improved by the optimized tensor interactions, and the contribution of the tensor interaction to the binding energy is estimated.

Effects of Tensor Interaction and Neutron--Proton Pairing on Beta-decay Characteristics of $^{130,132}$Cd

Effects of Tensor Interaction and Neutron--Proton Pairing on Beta-decay Characteristics of $^{130,132}$Cd

Approximate bound and scattering solutions of Dirac equation for the modified deformed Hylleraas potential with a Yukawa-type tensor interaction

Analytical bound and scattering state solutions of Dirac equation are investigated for the modified deformed Hylleraas potential with a Yukawa-type tensor interaction. The energy equation, phase shifts and normalization constants of the pseudospin and spin symmetry limits are represented. Since the modified deformed Hylleraas potential reduces to the Poschl–Teller, Hulthen and deformed Hylleraas potential, we have obtained energy equation and scattering properties of the Dirac equation for these potentials within a Yukawa-type tensor interaction. We have also reported some numerical results to show the effect of tensor interaction.

Relativistic Dirac-attractive radial problem with Yukawa-like tensor interaction via SUSYQM

We present the solution of Dirac equation with an attractive potential in the presence of a Yukawa-like tensor interaction. The bound-state energy spectra and the radial wave functions are approximately obtained in the case of spin and pseudospin symmetries. We have also reported some numerical results and figures to show the effect of tensor interaction.

The Effect of Tensor Interaction in Splitting the Energy Levels of Relativistic Systems

We solve approximately Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of spin and pseudospin symmetry fork≠0. The formula method is used to obtain the energy eigenvalues and wave functions. We also discuss the energy eigenvalues and the Dirac spinors for Eckart plus Hulthen potentials with formula method. To show the accuracy of the present model, some numerical results are shown in both pseudospin and spin symmetry limits.

Tensor correlations and the β-decay half-life of 132Sn

The effect of tensor interaction on the β-decay properties of the neutron-rich 132Sn nucleus is studied based on Skyrme forces. It is demonstrated within the random phase approximation that an enhancement of the neutron-proton tensor interaction leads to an increase in the energy of Gamow-Teller transitions and a reduction in the half-life period.

Effect of tensor interactions in 16O studied via (p,d) reaction

The differential cross sections of the 16O(p,d) reaction populating the ground state and several low-lying excited states in 15O were measured using 198-, 295- and 392-MeV proton beams at the Research Center for Nuclear Physics (RCNP), Osaka University, to study the effect of the tensor interactions in 16O. Dividing the cross sections for each excited state by the one for the ground state and comparing the ratios over a wide range of momentum transfer, we found a marked enhancement of the ratio for the positive-parity state(s). The observation is consistent with large components of high-momentum neutrons in the ground-state configurations of 16O due possibly to the tensor interactions.

Dirac–Hulthén Problem Within Coulomb–Hulthén Tensor Interaction Via SUSYQM

We solve the Dirac equation for the Hulthen potential with Coulomb–Hulthen tensor interaction for arbitrary spin–orbit coupling quantum number κ by using the supersymmetric quantum mechanics and a proper approximation to the centrifugal term. The effect of tensor interaction and parameters of potential on the energy of the system are also discussed.

Solutions to the Dirac equation for symmetric and asymmetric trigonometric Rosen-Morse potential using SUSYQM

In this paper, we calculate the energy spectra and the corresponding wavefunction for the symmetric and asymmetric trigonometric Rosen-Morse potential of the Dirac equation within the framework of spin and pseudospin symmetry limits including the tensor interaction using the supersymmetric quantum mechanics (SUSYQM) formalism. We have also reported some numerical results and figures to show the effect of tensor interaction.

Generalized tensor interaction and relativistic spin and pseudospin symmetries with the Manning-Rosen potential

We have investigated the Manning-Rosen potential under the framework of spin and pseudospin symmetries with generalized tensor interaction (GTI) using the parametric generalization of Nikiforov-Uvarovmethod. We have obtained the energy eigenvalues and the corresponding eigenfunction. We have also reported some numerical results and figures to show the effect of tensor interaction. The role of GTI is investigated in details. It is seen that the degenerate doublets in spin and pseudospin are changed due to the presence of GTI.

Pseudospin and spin symmetry of Dirac equation under Deng–Fan potential and Yukawa potential as a tensor interaction

In this paper, we have presented approximately analytical solution of Dirac equation under the pseudospin and spin symmetry for Deng–Fan potential. We have considered Yukawa potential as a tensor interaction. Some numerical results for energy eigenvalues and the corresponding wave functions of Dirac equation in both pseudospin and spin symmetry are reported. The effect of tensor interaction has been also investigated.

Pseudospin and spin symmetric solutions for Schiöberg molecular potential including the Yukawa tensor interaction

We solve the Dirac equation for the Schiöberg empirical potential including the Yukawa tensor interaction under pseudospin and spin symmetry limits with arbitrary spin–orbit coupling quantum number κ. The Nikiforov–Uvarov method is used to obtain analytical solutions of the Dirac equation. We obtain bound state energy eigenvalues and the corresponding two-component spinor wavefunctions. Effects of tensor interaction on the bound states and eigenfunctions are investigated numerically.

Dirac equation under the Deng-Fan potential and the Hulthén potential as a tensor interaction via SUSYQM

Based on the concept of the SUSYQM approach and the functional analysis method, we have obtained the energy eigenvalues and the corresponding eigenfunctions of the Dirac equation under the Deng-Fan potential with the Hulthen potential as tensor interaction. We have reported the results in pseudospin and spin symmetry limits and the effect of tensor interaction is discussed. We have also discussed some special cases of Deng-Fan potential.

Probing effect of tensor interactions in 16O via (p, d) reaction

We have measured the 16O(p, d) reaction using 198-, 295- and 392-MeV proton beams to search for a direct evidence on an effect of the tensor interactions in light nucleus. Differential cross sections of the one-neutron transfer reaction populating the ground states and several low-lying excited states in 15O were measured. Comparing the ratios of the cross sections for each excited state to the one for the ground state over a wide range of momentum transfer, we found a marked enhancement of the ratio for the positive-parity state(s). The observation is consistent with large components of high-momentum neutrons in the initial ground-state configurations due to the tensor interactions.

Tensor interaction and its influence on evolution of nuclear shells

Abstract Using Skyrmeʼs density dependent interaction the evolution of nuclear shells has been studied by Hartree–Fock theory. Optimization of the effect of tensor interaction has been done by reproducing the observed splitting of shell model states of 40,48Ca, 56Ni and 208Pb. Splitting of spin–orbit partners in Ca isotopes, 56Ni, 90Zr, N = 82 isotones, Sn isotopes have been studied and evolution of gaps in Z , N = 8 , 20 , 28 have been reanalyzed with the inclusion of tensor interaction. Magic gaps for shell closed nuclei have been evaluated. For doubly shell closed nuclei it has been observed that tensor interaction is sensitive to spin saturation of nuclear shells. Spin–orbit splitting of single particle states evaluated through tensor interaction act as pointers of shell structures.

Effect of tensor force on the shell structure of superheavy nuclei

We study the effect of tensor interaction on the shell structure of superheavy nuclei in the frame of the deformed Skyrme Hartree-Fock+BCS model. To this end, we adopt four different Skyrme interactions; SLy5 without tensor interaction, and SLy5+T, T24 and T44 with tensor interaction. The calculation with SLy5+T interaction reproduce the single particle spectra of protons and neutrons in 249Bk and 251Cf, better than the other calculations with SLy5, T24 or T44 interaction. The large shell gaps of superheavy nuclei (SHE) are found at Z=114 and Z=120 for protons and N=184 for neutrons with the spherical shape irrespective of the tensor correlations. It is also found that Z=114 and N=164 shell gaps are more pronounced by SLy5+T interaction with the tensor correlations.