Post-Newtonian waveforms from spinning scattering amplitudes

We derive the classical gravitational radiation from an aligned spin binary black hole on closed orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a graviton. We show explicitly the agreement of the transverse-traceless components of the radiative linear metric perturbations — and the corresponding gravitational wave energy flux — at future null infinity, derived from the scattering amplitude and those derived utilizing an effective worldline action in conjunction with multipolar post-Minkowskian matching. At the tree-level, this result holds at leading orders in the black holes’ velocities and up to quadratic order in their spins. At sub-leading order in black holes’ velocities, we demonstrate a matching of the radiation field for quasi-circular orbits in the no-spin limit. At the level of the radiation field, and to leading order in the velocities, there exists a one-to-one correspondence between the binary black hole mass and current quadrupole moments, and the scalar and linear-in-spin scattering amplitudes, respectively. Therefore, we show explicitly that waveforms, needed to detect gravitational waves from inspiraling binary black holes, can be derived consistently, to the orders considered, from the classical limit of quantum scattering amplitudes.

Magnetic properties and phase diagrams of the mixed spin-(1 2, 3 2) Ising–Heisenberg model in the mean field approximation

In this paper, the effects of the longitudinal [Formula: see text] and the transverse [Formula: see text] crystal fields on the mixed spin-[Formula: see text] Ising–Heisenberg model have been studied. The thermodynamic properties of the model are obtained by using a new approach of the mean field approximation (MFA). The thermal variations of the order-parameters and the total magnetic susceptibility of the model are carefully investigated to obtain the phase diagrams on the [Formula: see text] planes for [Formula: see text] and on the [Formula: see text] planes for [Formula: see text] and 6. The existence of compensation temperatures between the sublattice magnetizations, [Formula: see text], and the two components of the quadrupole moments, [Formula: see text], are observed. Our results are compared with other existing works in the literature and reliable agreements are found.

STATIC PROPERTIES OF THE 6Li NUCLEUS IN THE THREE-CLUSTER MODEL

This scientific work is devoted to a deep study of the structure of the weakly bound light 6Li nucleus in the framework of the three-cluster α+p+n-model. The realistic Reid soft core potential (RSC-potential) have been utilized as the nucleon-nucleon interaction. The potential with even-odd splitting in waves is used for describing the interaction of the alpha-particle and nucleons. The spectrum of low-lying energy levels of the 6Li nucleus has been calculated, and realistic wave functions of the relative motion of the clusters in this nucleus have been defined. The matrix elements and operators of the main static characteristics of the 6Li nucleus are presented. In particular, the root-mean-square charge and material radii, magnetic dipole and electric quadrupole moments of the 6Li nucleus have been calculated.

CALCULATIONS OF RADII FOR STRONTIUM ISOTOPES( 78-100SR) USING DEFORMATION COEFFICIENTS

In this study, to calculate the isotope radii of strontium ( 78-100Sr), the deformation coefficients which depend on (b2,d) and the root mean square radius ( )are calculated. The main and secondary elliptical parts( a, b) , with the difference between them (ΔR)are taken. These parameters are calculated for the even-paired of78-100Sr isotopes (Z =38).The low transition probability B(E2) and the deformation parameters δ which in turn depend on the electric quadrupole moments arecalculated using the equations of the deformed coat model. The variety of shapes of the nuclei for the selected isotopes is observed by drawing three-dimensional (axially symmetric) shapes and two-dimensional shapes of strontium isotopes to distinguish between them using quasi-large (a) and quasi-small (b) Axes.

Realization of quasicrystalline quadrupole topological insulators in electrical circuits

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported in a series of artificial materials, such as photonic crystals, acoustic crystals, and electrical circuits. In all these cases, the underlying structures have discrete translational symmetry and thus are periodic. Here we experimentally realize two-dimensional aperiodic-quasicrystalline quadrupole-topological insulators by constructing them in electrical circuits, and observe the spectrally and spatially localized corner modes. In measurement, the modes appear as topological boundary resonances in the corner impedance spectra. Additionally, we demonstrate the robustness of corner modes on the circuit. Our circuit design may be extended to study topological phases in higher-dimensional aperiodic structures.

Solid-State NMR of Spin-9/2 Nuclei 115In and 209Bi in Functional Inorganic Complex Oxides

Indium and bismuth are technologically important elements, in particular as oxides for optoelectronic applications. ¹¹⁵In and ²⁰⁹Bi are both I = 9/2 nuclei with high natural abundances and moderately high frequencies but large nuclear electric quadrupole moments. Leveraging the quadrupolar interaction as a measure of local symmetry and polyhedral distortions for these nuclei could provide powerful insights on a range of applied materials. However, the absence of reported NMR parameters on these nuclei, particularly in oxides, hinders their use by the broader materials community. In this contribution, solid-state ¹¹⁵In and ²⁰⁹Bi NMR of three recently discovered quaternary bismuth or indium oxides are reported, supported by density functional theory calculations, numerical simulations, diffraction, and additional multinuclear (²⁷Al, ^69,71Ga, ¹²¹Sb) solid-state NMR measurements. The compounds LiIn₂SbO₆, BiAlTeO₆, and BiGaTeO₆ are measured without special equipment at 9.4 T, demonstrating that wideline techniques such as the QCPMG pulse sequence and frequency-stepped acquisition can enable straightforward extraction of quadrupolar tensor information in I = 9/2 ¹¹⁵In and ²⁰⁹Bi even in sites with large quadrupolar coupling constants. Relationships are described between the NMR observables and local site symmetry. These are amongst the first reports of the NMR parameters of ¹¹⁵In, ¹²¹Sb, and ²⁰⁹Bi in oxides.

Solid-State NMR of Spin-9/2 Nuclei 115In and 209Bi in Functional Inorganic Complex Oxides

Indium and bismuth are technologically important elements, in particular as oxides for optoelectronic applications. ¹¹⁵In and ²⁰⁹Bi are both I = 9/2 nuclei with high natural abundances and moderately high frequencies but large nuclear electric quadrupole moments. Leveraging the quadrupolar interaction as a measure of local symmetry and polyhedral distortions for these nuclei could provide powerful insights on a range of applied materials. However, the absence of reported NMR parameters on these nuclei, particularly in oxides, hinders their use by the broader materials community. In this contribution, solid-state ¹¹⁵In and ²⁰⁹Bi NMR of three recently discovered quaternary bismuth or indium oxides are reported, supported by density functional theory calculations, numerical simulations, diffraction, and additional multinuclear (²⁷Al, ^69,71Ga, ¹²¹Sb) solid-state NMR measurements. The compounds LiIn₂SbO₆, BiAlTeO₆, and BiGaTeO₆ are measured without special equipment at 9.4 T, demonstrating that wideline techniques such as the QCPMG pulse sequence and frequency-stepped acquisition can enable straightforward extraction of quadrupolar tensor information in I = 9/2 ¹¹⁵In and ²⁰⁹Bi even in sites with large quadrupolar coupling constants. Relationships are described between the NMR observables and local site symmetry. These are amongst the first reports of the NMR parameters of ¹¹⁵In, ¹²¹Sb, and ²⁰⁹Bi in oxides.

Calculation of quadrupole deformation parameter β2 from reduced transition probability B(E2) for 0+1 → 2+1 transitions at even-even 62-68Zn isotopes

In this work the excited energy levels, reduced transition probabilities B(E2)↑, intrinsic quadrupole moments, and deformation parameters have been calculated for 62-68Zn isotopes with neutrons number N = 32, 34, 36 and 38. NuSheIIX code has been applied for all energy states of fp-shell nuclei. Shell-model calculations for the zinc isotopes have been carried out with active particles distributed in the lp3/2, 0f5/2, and lp1/2 orbits outside doubly magic closed 56Ni core nucleus. By using f5p model space and f5pvh interaction, the theoretical results have been obtained and compared with the available experimental results. The excited energies values, electric transition probability B(E2), intrinsic quadrupole moment Q0, and deformation parameters β2 have appeared in complete agreement with the experimental values. As well as, the energy levels have been confirmed and determined for the angular momentum and parity of experimental values that have not been well established and determined experimentally. On the other hand, it has been predicted some of the new energy levels and electric transition probabilities for the 62-68Zn isotopes under this study which were previously unknown in experimental information.