Transverse zeeman effect for ions in uniaxial crystals with and without mirror plane symmetry

Intra-configuration electric dipole transitions may occur for an ion in a crystal at a site that is not a center of inversion. When an external magnetic field is directed perpendicularly to the principal crystal symmetry axis c, intensity variations in the optical spectrum due to transitions between Zeeman states may appear as the crystal is rotated about c or as the direction of polarization of the incident light is changed with respect to the Zeeman field direction. The electric dipole selection rules giving rise to these intensity fluctuations are derived by consideration of Earney's mirror plane symmetry, and are shown to be identical to those obtained by other means.     

Small-angle photon scattering on complex nuclei

Photons of 3 GeV and 5 GeV were scattered on 7 different elements, ranging from Be to Au, and detected with a pair spectrometer. The angular distributions show diffractive patterns consistent with known nuclear sizes. Forward cross sections are 20–30% lower than expected from an A² dependence. This shadowing effect is qualitatively explained by photon interactions via intermediate hadronic states.     

Q-moment and Nuclear radius in light mirror nuclei

Electric quadrupole (E2) moments in light mirror nuclei are studied by shell model calculations with the proton-neutron formalism. Our calculations describe successfully theQ-moments of both loosely-bound andwell-bound nuclei when the effect of the separation energies is taken into consideration in the Woods-Saxon wave functions. The large enhancement of theQ-moments in⁸B and¹⁷F shows a clear evidence of the proton halos.JSPS Fellow for Japanese Junior Scientists.     

Quantum photon emission from a moving mirror in the nonperturbative regime

We consider the coupling of the electromagnetic vacuum field with an oscillating perfectly-reflecting mirror in the nonrelativistic approximation. As a consequence of the frequency modulation associated to the motion of the mirror, low frequency photons are generated. We calculate the photon emission rate by following a nonperturbative approach, in which the coupling between the field sidebands is taken into account. We show that the usual perturbation theory fails to account correctly for the contribution of TM-polarized vacuum fluctuations that propagate along directions nearly parallel to the plane surface of the mirror. As a result of the modification of the field eigenfunctions, the resonance frequency for photon emission is shifted from its unperturbed value.     

Analysis of the magnetic moments of mirror nuclei

The analyses of magnetic moments of mirror nuclei originally carried out by Sugimoto are brought up to date. Numerous new measurements strengthen and extend the earlier conclusions. Comparisons are made with the current large shellmodel calculations in the p and s-d shells.Visitor, Spring 1984, Centre de Recherches Nucléaires, Strasbourg.     

Magnetic moments of mirror nuclei with tilted-foil polarization

We report here on an ongoing experimental program initiated at the ISOLDE facility at CERN for the measurement of magnetic moments of short-lived radionuclides, with the emphasis on magnetic moments of mirror nuclei in far-from-stability regions. The nuclei are polarized by the tilted foil technique and the resulting 0–180^○ βasymmetry is monitored as a function of rf frequency applied in an NMR setup. In order to achieve sufficiently high energy for transmission through the foils, the experimental setup is mounted on a high voltage platform. The first experiment in this program was the measurement of the βasymmetry and the NMR resonance for the ground state of ²³Mg (I=3/2, T_1/2=11.3 s), yielding μ=−0.533(6) nm. Improvements to the experimental setup are presently being designed, to be used in conjunction with the new developments at ISOLDE for obtaining high charge-state ions from the EBIS (REX-ISOLDE) ion source. This will help pave the way for measurements of magnetic moments of T=3/2 nuclei in the s–d shell and of T=1/2 f-shell nuclei. The study of relaxation times and other solid-state phenomena in semiconductors and other materials of interest using this technique is also contemplated. This revised version was published online in July 2006 with corrections to the Cover Date.     

Ab initio calculations of mirror energy difference in sd-shell nuclei

Mirror energy difference is a key observable in isospin symmetry breaking, containing rich information about nuclear structure. Understanding the mechanisms underlying mirror energy difference is important in nuclear physics. In the present work, we extensively investigated mirror energy difference using ab initio valence-space inmedium similarity renormalization group approach, focusing specifically on sd-shell nuclei. The low-lying spectra of Al isotopes and N = 8 isotones, together with their...     

On mirror states of negative parity in mass 15 nuclei

Mirror relations between levels of¹⁵N and¹⁵O below 11 MeV are derived from the¹⁶O(d,τ)¹⁵N and¹⁶O(d,τ)¹⁵O reactions. These relations and the resulting negative parity assignments disagree with previous work.     

The effect of quark exchange in A = 3 mirror nuclei and neutron/proton structure functions ratio

By using the quark-exchange formalism, the realistic Faddeev wave function and the Fermi motion effect, we investigate the deep inelastic electron scattering from A = 3 mirror nuclei in the deep-valence region. The initial valence quark input is taken from the GRV's (Glück, Reya and Vogt) fitting procedure and the next-to-leading-order QCD evolution on F₂^p(x, Q²) which gives a very good fit to the available data in the (x, Q²)-plane. It is shown that the free neutron to proton structure functions ratio can be extracted from the corresponding EMC ratios for ³He and ³H mirror nuclei by using the self-consistent iteration procedure and the results are in good agreement with the other theoretical models as well as the present available experimental data and especially the projected data expected from the proposed 11GeV Jefferson Laboratory in the near future.     

Core polarization and the Coulomb energy difference of mirror nuclei

The effect of the core polarization on the Coulomb displacement energies of mirror nuclei with a LS doubly closed shell plus or minus one nucleon is studied. Using the Kallio-Kolltveit interaction it is found that the first-order configuration mixing including 2p-2h core excitations is too small and sometimes of the wrong sign to explain the Nolen-Schiffer anomaly.     

Neutron and proton asymptotic coefficients for symmetric and mirror nuclei

The parameters of the bound-state potential and the corresponding asymptotic coefficients of the wave functions for a number of symmetric and mirror nuclei of the 1d shell have been obtained within the single-particle approximation by solving the Schrödinger equation under the condition of equivalence of the nuclear potentials of the proton and neutron of one pair (EPN condition). The criterion for selecting the parameters was the equality of the calculated and experimental values of the nuclear radius. It is shown that, as a result of application of the EPN condition and the well-depth procedure, the ratio of the squares of the asymptotic coefficients for the neutron and proton of one pair becomes a constant, insensitive to variation in the parameters.     

Transverse field effect in graphene ribbons

It is shown that a graphene ribbon, a ballistic strip of carbon monolayer, may serve as a quantum wire whose electronic properties can be continuously and reversibly controlled by an externally applied transverse voltage. The electron bands of armchair-edge ribbons undergo dramatic transformations: The Fermi surface fractures, Fermi velocity and effective mass change sign, and excitation gaps are reduced by the transverse field. These effects are manifest in the conductance plateaus, van Hove singularities, thermopower, and activated transport. The control over one-dimensional bands may help enhance effects of electron correlations, and be utilized in device applications.     

Binding energies of proton-rich nuclei determined from their mirror pairs

In addition to the Coulomb displacement energy, the residual differences between the binding energies of mirror nuclei (a pair of nuclei with the same mass number plus interchanged proton and neutron numbers) contribute to the shell effect via the valence scheme in this study. To this end, one linear combining type of valence nucleon number, namely, \begin{document}$ \alpha N_p+\beta N_n $\end{document}, is chosen to tackle this shell correction, in which \begin{document}$ N_p $\end{document} and \begin{document}$ N_n $\end{document} are the valence proton and neutron numbers with respect to the nearest shell closure, respectively. The mass differences of mirror nuclei, as the sum of the empirical Coulomb displacement energy and shell effect correction, are then used to obtain the binding energies of proton-rich nuclei through the available data of their mirror partners to explore the proton dripline of the nuclear chart.     

Transverse acoustoelectric effect in ferromagnetic superconductors

A longitudinal ultrasonic wave in a type-II superconductor with a ferromagnetic subsystem and negligible Hall effect carries the vortex structure in its propagation direction and generates a constant transverse electric (acoustoelectric) field. This field has a maximum in temperature and external magnetic field. The magnitudes and positions of these maxima depend on the magnitude and direction of the internal ferromagnetic moment of the superconductor. It is shown that experimental investigation of the temperature dependence of the acoustoelectric field in a fixed external magnetic field or at a fixed temperature on the external magnetic field strength makes it possible to measure the magnetic moment and magnetic susceptibility of the superconductor ferromagnetic subsystem and the viscosity coefficient of the vortex structure.     

Structure of the mirror nuclei21Ne and21Na

Theγ-decay of levels in²¹Ne up to 10 MeV excitation energy has been investigated byn — γ coincidence measurements initiated with the¹⁸O(α, nγ) reaction at 12, 13, 14.5 and 15.4 MeV bombarding energies. Spin(-parity) assignments of excited states are obtained by combining then — γ angular correlation measurements performed atE _α=11, 11.82 and 13.6 MeV with a consideration of lifetimes, neutron penetrabilities of the unbound states, and information from the mirror nucleus²¹Na. The resulting values of E_x[keV]?J ^π are as follows: 4525-5⁺, 4686-3⁺, 5431-7⁺, 5549-3⁺, 5819-7^?, 6175-7⁺, 6268-9⁺, 6550-9, 6639-9, 7006-7⁺, 7041-9, 7356-7 or 9, 7422-11^(?), 7648-7⁺, 7981-11 or (7⁺), 8154-9, 8240-11, 8664-9^? or 11 or 13^?, 9401-13^?, 9867-13^? or 15⁺, 9941-13^? or 15 or 17⁺. The assignment of mirror levels in²¹Ne —²¹Na has been extended to the 6175 keV level of²¹Ne. Excitation energies, electromagnetic properties, Gamow?Teller matrix elements and spectroscopic factors of positive parity states are compared with the results of shell-model calculations which employ a unifieds—d shell Hamiltonian and the unrestricted configuration space of the 0d _5/2 —1s _1/2—0d_3/2 shell. Collective properties contained in shell model wave functions are explored up to the termination of bands atJ=17/2 or 19/2. The spectrum of intruder states in²¹Ne is observed to begin with a 5628 keV,J ^π=7/2⁺ state. The 7422, 8664 and 9401 keV levels are assigned as members of previously established negative-parity rotational bands.     

Halo or skin in the excited states of some light mirror nuclei

The properties of three pairs of mirror nuclei ¹³N- ¹³C, ¹⁵N- ¹⁵O and ²¹Na- ²¹Ne (these mirror nuclei are all made of a good inert core plus an unpaired valence nucleon) are investigated by using the nonlinear relativistic mean-field (RMF) theory. It is found that the calculated binding energies with two different parameter sets are very close to the experimental ones for both the ground states and the excited states except for the large deformed nuclei. The calculations show that the 2s_1/2 excited states of ¹⁵N and of ²¹Na are both weakly bound with a proton halo and a proton skin (or a pigmy proton skin), respectively. In addition, the 1d_5/2 excited state of ¹³C and the 2s_1/2 excited state of ¹⁵O are also weakly bound with a neutron skin, respectively. The ratio of the valence nucleon radius to matter radius is deduced and it can be regarded as an additional criterion for the existence of exotic structure. The unbound 2s_1/2 and 1d_5/2 excited states of ¹³N are also discussed.     

Unusual isospin-breaking and isospin-mixing effects in the A=35 mirror nuclei

Excited states have been studied in 35Ar following the 16O(24Mg,1alpha1n)35Ar fusion-evaporation reaction at 60 MeV using the Ge-detector array GASP. A comparison with the mirror nucleus 35Cl shows two remarkable features: (i) A surprisingly large energy difference for the 13/2(-) states, in which the hitherto overlooked electromagnetic spin-orbit term is shown to play a major role, and (ii) a very different decay pattern for the 7/2(-) states, which provides direct evidence of isospin mixing.     

Excitation of nuclei by photon beams carrying orbital angular momentum

A drop in the efficiency of nuclear excitation through transitions of high multipolarity is related to the increase in the angular momentum difference between the nuclear states involved in the excitation transition. Such transitions need photons with a high angular momentum. It is well known that photon beams carrying a well-defined and arbitrarily high value of angular momentum about the beam axis can be produced. We discuss some features in the excitation of nuclei with the beams.