Magnetic rotation and chiral symmetry breaking

The deformed mean field of nuclei exhibits various geometrical and dynamical symmetries which manifest themselves as various types of rotational and decay patterns. Most of the symmetry operations considered so far have been defined for a situation wherein the angular momentum coincides with one of the principal axes and the principal axis cranking may be invoked. New possibilities arise with the observation of rotational features in weakly deformed nuclei and now interpreted as magnetic rotational bands. More than 120 MR bands have now been identified by filtering the existing data. We present a brief overview of these bands. The total angular momentum vector in such bands is tilted away from the principal axes. Such a situation gives rise to several new possibilities including breaking of chiral symmetry as discussed recently by Frauendorf. We present the outcome of such symmetries and their possible experimental verification. Some possible examples of chiral bands are presented.     

Chirality of nuclear rotation

It is shown that the rotating mean field of triaxial nuclei can break the chiral symmetry. Two nearly degenerate DeltaI=1 rotational bands originate from the left-handed and right-handed solutions.     

Quantum flow and nuclear rotation

It is shown that some insight in how light nuclei rotate can be gained by looking at the flow lines of the quantum mechanical probability.     

Semiclassical theory of nuclear rotation

The semiclassical theory of large amplitude collective motion developed previously by the author is applied to uniform nuclear rotation. In this way a sophisticated foundation of the self-consistent cranking model is given and its quantization is accomplished. The obtained quantization condition already contains the leading order correction to the self-consistent cranking model and also reveals the relation between the total angular momentum and the total signature. In the low frequency limit it yields the I(I + 1) law of a quantum rotor.     

T-odd particle spin rotation in nuclear targets

It is shown that particle spin rotation in nuclear targets, caused by the imaginary part of the spin-dependent forward elastic scattering amplitude, is T-odd rotation.     

Critical nuclear relaxation in cobalt metal

Nuclear magnetic resonance of cobalt metal was investigated in the paramagnetic and ferromagnetic states and in the critical region below T_c. The Knight shift and spin lattice relaxation times were measured in the paramagnetic phase in the solid and liquid states from 1578 K to 1825 K. The resonant frequency, spin-lattice and spin-spin relaxation times were measured in the ferromagnetic phase from room temperature to 1385 K. The main part of (T₁T)^-1 results from fluctuating orbital moments in both phases except near T_c where this process forms the background for critical spin relaxation. The critical exponents for T^-1₁ and for the magnetization in the ferromagnetic state were found to be n' = 0.96 ± 0.07 and β = 0.308 ± 0.012, respectively.     

Chaotic motion and collective nuclear rotation

The regular and chaotic motion in the classical and quantal versions of a model hamiltonian with two degrees of freedom are investigated. This model contains a parameter which is identified with a conserved quantum number, the total spin. In particular, transitions between states differing in spin by one unit are studied. The transition is strongly collective for regular motion, and collectivity is destroyed with increasing stochasticity of the model.     

Inertial parameters of nuclear rotation in microscopic theory

It is shown that, in calculating the inertial parameters of nuclear rotation, the microscopic theory of Mikhailov and Nadzhakov reproduces analytically all the results of Belyaev theory, and leads to a certain additional contribution to the quantum corrections of the moment of inertia.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 86–90, August, 1979.     

Indirect interaction of nuclear spins in chiral magnets

The effective Hamiltonian of the Suhl-Nakamura interaction of nuclear spins in a helimagnet has been constructed for the case where an external magnetic field is applied perpendicular to the axis of the helicoid. The contribution from the intraboundary and intradomain spin excitations to the parameter and effective radius of this interaction has been calculated. The second moment and local broadening of the NMR absorption line, which are determined by the indirect interaction of the nuclear spins, have also been calculated.     

Hydrodynamics of nuclear matter in the chiral limit

Using the Poisson bracket method, we construct the hydrodynamics of nuclear matter in the chiral limit, which describes the dynamics of all low-energy degrees of freedom, including the fluid-dynamical and pionic ones. The hydrodynamic equations contain, beside five Euler equations of relativistic fluid dynamics, N(2)(f)-1 second order equations describing propagating pions and N(2)(f)-1 first order equations describing the advection of the vector isospin charges. We present hydrodynamic arguments showing that the pion velocity vanishes at the second order phase transition at N(f) = 2.     

Unidirectional rotation of circles driven by chiral active particles

The dynamics of two-dimensional rigid circles filled with chiral active particles are investigated by employing the overdamped Langevin dynamics simulations. Unidirectional rotation of rigid circles is observed, and the rotational angular velocity(ω) relies mainly on the length(l), the number(nB), and tilt angle(γ) of boards, and the angular velocity(ω)and area fraction(ρ) of chiral active particles. There are optimum values for these parameters at which the average angular velocity of circle reaches its maximum. The center-of-mass mean square displacement for circles drops by about two orders of magnitude for large angular velocity ω of chiral active particles with oscillations in the short-time regime. Our work demonstrates that nanofabricated objects with suitable designs immersed in a bath of chiral active particles can extract and rectify energy in a unidirectional motion.     

Triaxial projected shell model study of chiral rotation in odd-odd nuclei

Chiral rotation observed in ¹²⁸Cs is studied using the newly developed microscopic triaxial projected shell model (TPSM) approach. The observed energy levels and the electromagnetic transition probabilities of the nearly degenerate chiral dipole bands in this isotope are well reproduced by the present model. This demonstrates the broad applicability of the TPSM approach, based on a schematic interaction and angular-momentum projection technique, to explain a variety of low- and high-spin phenomena in triaxial rotating nuclei.     

Chemical distinction by nuclear spin optical rotation

Nuclear spin optical rotation (NSOR) arising from the Faraday effect constitutes a novel, advantageous method for detection of nuclear magnetic resonance, provided that a distinction is seen between different chemical surroundings of magnetic nuclei. Efficient first-principles calculations for isolated water, ethanol, nitromethane, and urea molecules at standard laser wavelengths reveal a range of NSOR for different molecules and inequivalent nuclei, indicating the existence of an optical chemical shift. 1H results for H2O(l) are in excellent agreement with recent pioneering experiments. We also evaluate, for the same systems, the Verdet constants of Faraday rotation due to an external magnetic field. Calculations of NSOR in ethanol and a 11-cis-retinal protonated Schiff base imply an enhanced chemical distinction between chromophores at laser wavelengths approaching optical resonance.