Despite a bit away from the nuclear magnetic moments, this interesting preprint article talks about the anomalous moment of quarks.
theory
g factor of chiral doublets with $π{(1{h}_{11/2})}^{1}⊗ν{(1{h}_{11/2})}^{−1}$ configuration
Q.B. Chen
DOI: 10.1103/PhysRevC.109.024308
Abstract
The g factor of chiral doublet bands has been extensively studied within the framework of the particle rotor model. Specifically, these investigations have focused on systems characterized by the particle-hole configuration π(1h11/2)1⊗ν(1h11/2)−1. Comprehensive examinations have been carried out to assess the influence of deformation parameters β and γ, the moment of inertia j0, the total spin I, and the angular momentum of the collective rotor jR on the g factor. The findings reveal that the g factor exhibits insensitivity to variations in J0 and β values, while its behavior is highly sensitive to changes in the γ parameter. Moreover, it has been observed that the g factors and the g(jR) plots associated with the doublet bands demonstrate remarkable similarity in the static chirality region. However, noticeable differences arise in regions characterized by chiral vibration or lacking chirality.
A little bit of history
I am in the process of upgrading the database and I ran onto this article by de Shalit from 1951. A little piece of history, with ideas still holding.
Thanks to ETH for digitizing the entire collection of Helvetica Acta.
Here is the (open-access) article: [-link]
[paper] The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon-induced corrections
The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon-induced corrections
E.E. Saperstein et al.
The self-consistent model, developed previously to describe phonon coupling (PC) effects in magnetic moments of odd magic and semi-magic nuclei, is extended to quadrupole moments. It is based on the theory of finite Fermi systems with the use of the perturbation theory in gL2, where gL is the vertex creating the L-phonon. Accounting for the phonon tadpole diagrams is an important ingredient of this model. The calculation scheme is based on the Fayans energy density functional DF3-a and does not contain any adjusted parameters. The odd In and Sb isotopes are considered, which are the proton-odd neighbors of even tin nuclei. The 21+ phonon is taken into account in which the quadrupole moment is one ingredient of the calculation scheme. The corresponding values were found by us previously. Two main PC corrections, due to the phonon Z-factor and due to the phonon-induced interaction, have opposite signs and strongly cancel each other, leaving room for other ‘small’ corrections, so that the resulting PC correction is much lower than the absolute values of each of the two main ones. However, it remains noticeable, making the overall agreement with the data significantly better.
[paper] Relativistic description of second-order correction to nuclear magnetic moments with point-coupling residual interaction
Relativistic description of second-order correction to nuclear magnetic moments with point-coupling residual interaction
Jian Li et al.
doi: 10.1007/s11433-010-4215-7
Using the single particle states and the residual interaction derived from the relativistic point-coupling model with the PC-F1 parameter set, the second-order core polarization corrections to nuclear magnetic moments of LS closed shell nuclei ±1 nucleon with A = 15, 17, 39 and 41 are studied and compared with previous non-relativistic results. It is found that the second-order corrections are significant. With these corrections, the isovector magnetic moments of the concerned nuclei are well reproduced, especially those for A = 17 and A = 41.
[paper] The orbital g-factor and related sum rules
The orbital g-factor and related sum rules
Wolfgang Bentz and Akito Arima
doi: 10.1007/s11433-010-4224-6
The renormalization of the orbital g-factor in nuclei is discussed on the basis of gauge invariance. The relation of the orbital g-factor to the integrated E1 photoabsorption cross section is reviewed, and its relation to the M1 sum rule for the scissors mode of deformed nuclei is examined.
[paper] Addenda to general spin precession and betatron oscillation in storage ring
Addenda to general spin precession and betatron oscillation in storage ring
T. Fukuyama
doi: 10.1142/S0217732317910011
We give the generalized expression of spin precession of extended bunch particles having both anomalous magnetic and electric dipole moments (EDMs) in storage ring in higher order than the previous work and in the presence of E field as well as B field. These addenda are essential since some experiments consider the focusing field in the second-order of the beam extent and in the presence of both B and E fields.
[paper] Hyperfine fields in the BaFe2As2 family and their relation to the magnetic moment
Hyperfine fields in the BaFe2As2 family and their relation to the magnetic moment
G. Derondeau et al.
doi: 10.1103/PhysRevB.94.214508
The hyperfine field Bhf and the magnetic properties of the BaFe2As2 family are studied using the fully relativistic Dirac formalism for different types of substitution. The study covers electron doped Ba(Fe1−xCox)2As2 and Ba(Fe1−xNix)2As2, hole doped (Ba1−xKx)Fe2As2, and also isovalently doped Ba(Fe1−xRux)2As2 and BaFe2(As1−xPx)2 for a wide range of the concentration x. For the substituted compounds the hyperfine fields show a very strong dependence on the dopant type and its concentration x. Relativistic contributions were found to have a significantly stronger impact for the iron pnictides when compared to bulk Fe. As an important finding, we demonstrate that it is not sensible to relate the hyperfine field Bhf to the average magnetic moment μ of the compound, as it was done in earlier literature.
[Paper] Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
Angelo Calci and Robert Roth
doi: 10.1103/PhysRevC.94.014322
Abstract
Starting from a set of different two- and three-nucleon interactions from chiral effective field theory, we use the importance-truncated no-core shell model for ab initio calculations of excitation energies as well as electric quadrupole (E2) and magnetic dipole (M1) moments and transition strengths for selected p-shell nuclei. We explore the sensitivity of the excitation energies to the chiral interactions as a first step towards and systematic uncertainty propagation from chiral inputs to nuclear structure observables. The uncertainty band spanned by the different chiral interactions is typically in agreement with experimental excitation energies, but we also identify observables with notable discrepancies beyond the theoretical uncertainty that reveal insufficiencies in the chiral interactions. For electromagnetic observables we identify correlations among pairs of E2 or M1 observables based on the ab initio calculations for the different interactions. We find extremely robust correlations for E2 observables and illustrate how these correlations can be used to predict one observable based on an experimental datum for the second observable. In this way we circumvent convergence issues and arrive at far more accurate results than any direct ab initio calculation. A prime example for this approach is the quadrupole moment of the first 2+ state in C12, which is predicted with an drastically improved accuracy.
[Paper] Radii and Binding Energies in Oxygen Isotopes: A Challenge for Nuclear Forces
Radii and Binding Energies in Oxygen Isotopes: A Challenge for Nuclear Forces
V. Lapoux et al.
doi: 10.1103/PhysRevLett.117.052501
We present a systematic study of both nuclear radii and binding energies in (even) oxygen isotopes from the valley of stability to the neutron drip line. Both charge and matter radii are compared to state-of-the-art ab initio calculations along with binding energy systematics. Experimental matter radii are obtained through a complete evaluation of the available elastic proton scattering data of oxygen isotopes. We show that, in spite of a good reproduction of binding energies, ab initio calculations with conventional nuclear interactions derived within chiral effective field theory fail to provide a realistic description of charge and matter radii. A novel version of two- and three-nucleon forces leads to considerable improvement of the simultaneous description of the three observables for stable isotopes but shows deficiencies for the most neutron-rich systems. Thus, crucial challenges related to the development of nuclear interactions remain.