Effect Of Tensor Interaction Research Articles

Relativistic symmetry of position-dependent mass particles in a Coulomb field including tensor interaction

The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials, including a tensor interaction under the spin and pseudospin symmetric limits. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin—orbit quantum number κ. Some numerical results are also given, and the effect of tensor interaction on the bound states is presented. It is shown that tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under spin symmetric limit conditions in the absence of tensor interaction.

Relativistic spin symmetry of the generalized Morse potential including tensor interaction

The relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials. We have also reported some numerical results and figures to show the effect of tensor interaction.

Effect of tensor interaction in the Dirac-attractive radial problem under pseudospin symmetry limit

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential, including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number κ. By using the parametric generalization of the Nikiforov-Uvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.

Dirac particles in the presence of the Yukawa potential plus a tensor interaction in SUSYQM framework

Applying an appropriate approximation scheme to deal with the centrifugal term, pseudospin and spin symmetric solutions of the Dirac–Yukawa problem with tensor interaction are investigated based on supersymmetric quantum mechanics (SUSYQM) and shape invariance (SI) formalism. We show that the energy eigenvalues equation is simply obtained by using the methodology of SUSYQM and SI. The corresponding wave functions are obtained in terms of hypergeometric functions. Effects of tensor interaction on the bound states and eigenfunctions are also investigated numerically. Further, we compare our results with those given in the literature, which are obtained by using the Nikiforov–Uvarov and asymptotic iteration methods.

Effect of tensor interaction on deformation and shell structure of medium-heavy and superheavy nuclei

The effect of tensor interaction is studied on deformation and shell structure of various nuclei within the deformed Skyrme Hartree–Fock+BCS model. We discuss first the effect of tensor interaction on the deformations of Kr isotopes and 80Zr. Second, the same model is applied to investigate the role of tensor correlations on the evolution of shell structure in superheavy nuclei. To this end, we adopt four different Skyrme interactions: SLy5 without tensor interaction, and SLy5+T, T24 and T44 with tensor interaction. It is shown that the SLy5+T interaction gives the shape changes of the lowest configurations of Kr isotopes similar to experimental observations. The importance of the tensor correlations is also pointed out for the single-particle spectra of protons and neutrons in 249Bk and 251Cf, respectively. The large shell gaps of superheavy nuclei 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 shown that Z = 114 and N = 164 shell gaps are more pronounced by the tensor correlations of SLy5+T interaction. The effect of time-odd components of Skyrme energy density functionals is examined on the deformation and the stability of superheavy elements.

The Dirac–Yukawa problem in view of pseudospin symmetry

An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r2, to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.

Effects of tensor interaction on pseudospin energy splitting and shell correction

In the framework of a Skyrme-Hartree-Fock approach combined with BCS method, the role of the tensor force on the pseudospin energy splitting for tin isotope chain is investigated. The tensor force turns out to obviously affect the pseudospin energy splitting of the spin-unsaturated nuclei. Since the tensor force shifts the single-particle levels, it modifies the single-particle level density and the shell correction energy thereof. The influence of the tensor interaction on shell correction energy is considerable according to our analysis taking a magic nucleus $^{132}$Sn as well as a superheavy nucleus $^{298}114$ as examples. This modification of the shell correction energy due to the tensor component affects the stability of the superheavy nuclei.

SEARCHING FOR EFFECTS OF TENSOR FORCES IN NUCLEI

Effects of tensor interactions in nucleus are discussed from the experimental view points. Two recent studies, one is the mixing of s- and p- waves in 11 Li halo and the other is the high momentum component in the nucleon wave function from a transfer reaction. Preliminary results of 16 O ( p , d )15 O reaction show an abnormal relative enhancement of the transition to the positive parity state of 15 O , which is not a hole state, consistent with contents of high momentum nucleon expected from the tensor interactions. The importance of the inclusion of tensor force, that can not be described in the mean field model, is discussed.

EFFECT OF TENSOR INTERACTION ON HEAVY AND SUPERHEAVY NUCLEI

The effect of tensor interaction is discussed on the deformation and the shell structure of heavy and superheavy nuclei within the deformed Skyrme Hartree-Fock+BCS model. The importance of the tensor correlations is shown for the single particle spectra of protons in 249 Bk . The large shell gaps of superheavy nuclei 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 shown that Z = 114 and N = 164 shell gaps are more pronounced by the tensor correlations in the case of SLy 5+ T interaction.

Effects of the tensor force on the multipole response in finite nuclei

We present a thorough analysis of the effects of tensor interaction on the multipole response of magic nuclei, using the fully self-consistent random phase approximation model with Skyrme interactions. We disentangle the modifications to the static mean field induced by the tensor terms, and the specific features of the residual particle-hole (p-h) tensor interaction, for quadrupole (2(+)), octupole (3(-)), and also magnetic dipole (1(+)) responses. It is pointed out that the tensor force has a larger effect on the magnetic dipole states than on the natural parity states 2(+) and 3(-), especially at the mean-field level. Perspectives for a better assessment of the tensor force parameters are discussed.

Dibaryon Mass and Width Calculation with Tensor Interaction

The effect of tensor interaction due to gluon and Goldstone bosonexchange on the dibaryon mass and decay width has been studied inthe framework of the quark delocalization and colour screening model.The effective S–D wave transition interactions induced by gluon andGoldstone boson exchanges decrease quickly with the increasing channelstrangeness, and there is no six-quark state in the light flavour world,which can become a bound one by the help of these tensor interactions,except for the deuteron. The K and η meson exchange effect has beenshown to be negligible after a short-range truncation in this modelapproach. The partial D-wave decay widths, from the NΩ state tothe ΛΞ final states of spins 0 and 1, are 20.7 keV and63.1 keV respectively. This is a very narrow dibaryon resonance, that mightbe detected in the relativistic heavy ion reaction by the existing RHICdetectors through the reconstruction of the ΛΞ vertexmass and by the future COMPAS detector at CERN and the FAIR project in Germany.

CP violating transverse lepton polarizaion in B→Dℓ including tensor interactions

We give a model-independent analysis of CP violating lepton polarization in the exclusive semileptonic B decay of $B\to D^{(*)}\ell\bar\nu$ including dimension six four-fermion tensor interactions at the heavy quark limit. It is shown that the tensor interactions should not be neglected if the associated couplings are comparable to others. The effect of tensor interactions on the transverse lepton polarization appears more dramatically in $B\to D$ than in $B\to D^*$. In the leptoquark model, the average transverse lepton polarization is estimated to be $|\bar{P^\perp_D}|\simeq 0.26$ and $|\bar{P^\perp_{D^*}}|\simeq 0.076$ with commonly used model parameters.

Effects of tensor interaction in p-n breakup states on deuteron elastic scattering

The Reid soft core potential is employed for p-n continuum states in virtual-breakup components of deuteron elastic scattering. Compared to the previous calculation with central gaussian potentials, the new calculation produces small but non-negligible corrections to tensor analyzing powers and a remarkable change in a particular linear combination of polarization transfer coefficients, suggesting the latter to be a useful source of information on nuclear forces.

Tensor interaction effects in the 4He(2H, gamma )6Li capture reaction.

The spin dependence of the {sup 4}He({sup 2}H,{gamma}){sup 6}Li capture reaction is studied in a deuteron-alpha-particle direct capture model. Nucleon-nucleon tensor interaction effects, manifest through the deuteron and {sup 6}Li internal {ital D} states and through the deuteron-alpha-particle tensor interaction, are included within the {ital d}+{alpha} cluster model. The entrance channel tensor force, calculated from the folding model, is shown to produce relatively minor effects on the calculated reaction tensor analyzing powers compared to those of the {sup 6}Li {ital D} state for center-of-mass energies of proposed experiments ({approx}10 MeV).

Effects of tensor interactions and projectile excitations in the scattering of 7Li

The scattering of 7Li by nuclei is investigated by folding-model interactions, assuming 7Li to consist of an α-particle and a triton. For 58Ni targets, effects of tensor interactions which include excitations of 7Li are very important in explaining the measured cross sections and vector and tensor analyzing powers in elastic scattering, where normalizations of the interaction are not necessary.

Third Virial Coefficients for Mixtures of Nonspherical Molecules

The influence of a large number of tensor interactions on the third virial coefficient, in some cases through the third order of perturbation theory, is evaluated for gas mixtures. The spherically symmetric components of the potential functions are assumed to be either of the Lennard-Jones 12–6 or 18–6 form. Molecular asymmetries of very general types are described in this work by permanent electric multipole moments, induced dipole moments, and anisotropic dispersion forces. Permanent moment interactions involving dipoles and quadrupoles are considered through the third order. Other asymmetric interactions involving permanent multipole moment tensors up to and including the hexadecapole moment are considered through the second order of perturbation. Pairwise potential nonadditivity due to three-body induced moment interactions occur in the second-order results and are studied for molecules with permanent dipole and quadrupole moments. Numerical examples of the effects of tensor interactions are given for CO2, N2, and C6H6.

The tensor interaction and nuclear matter

The separation method of Moszkowski-Scott has been applied to the calculation of the properties of nuclear matter using two different nucleon-nucleon potentials, both in reasonable agreement with two-body data. Calculations with the potential of Brueckner-Gammel gave A E = −14.2 Mev at an equilibrium densitty corresponding to k f = 1.5 f −1. The difference from the results of B and G may be caused by slow convergence of the series (especially in the triplet-even state where the tensor interaction has a large second order contribution). An important factor in obtaining nuclear saturation is shown to be the weakening of tensor interaction effects by the Fermi sea. Evidence for this may also be seen from the results obtained using a different two nucleon potential which, however, still gives good fits to two body data. The potential chosen has a much weaker tensor component and shows no sign of saturation at normal densities (at k f = 1.5 f −1, A E = −23.4 Mev ). The difference in the two results appears to be much larger than can be accounted for either by higher order terms or by differences in the phase shift approximation to the reaction matrix.