Multipole expansion of conserved tensor currents and the number of form factors

1990 ◽  
Vol 41 (6) ◽  
pp. 1989-2002 ◽  
Author(s):  
V. Rahal ◽  
H. C. Ren
2014 ◽  
Vol 4 (4) ◽  
pp. 38-44
Author(s):  
Zuyen Phu Luong ◽  
Huu Ha Nguyen

The article presents the multipole expansion for the electron-nucleus scattering cross-section at high energies within framework of the unified electroweak theory. The electroweak currents of  the nucleus is expanded into simple components with definite angular momentum, which are called the multipole form factors. The multipole expansion of the cross-section is a consequence of the above expansion. Besides the familiar electromagnetic form factors FxL , there are new form factors VLX and ALX related to weak interactions, corresponding to the vector and axial weak currents. The obtained general expressions are applied to the nucleus 36Li , where the partial form factors are computed in the multiparticle shell model.


2019 ◽  
Vol 52 (1) ◽  
pp. 175-185 ◽  
Author(s):  
Navid Qureshi

Mag2Pol is a graphical user interface program which is devoted to the treatment of data from polarized neutron diffractometers with spherical polarization analysis. Nuclear and magnetic structure models can be introduced using space-group symbols and individual symmetry operators, respectively, and viewed in an OpenGL widget. The program calculates nuclear/magnetic structure factors, flipping ratios and polarization matrices for magnetic Bragg reflections, taking into account structural twins and magnetic domains. Spherical neutron polarimetry data can be analyzed by refining a magnetic structure model including magnetic domain populations in a least-squares fit and can also be correlated with an integrated intensity data set in a joint refinement. Further features are the simultaneous refinement of nuclear and magnetic structures with integrated intensity data and the analysis of flipping ratios either with tabulated magnetic form factors or using a multipole expansion of the magnetization density.


2021 ◽  
Vol 81 (1) ◽  
Author(s):  
June-Young Kim ◽  
Bao-Dong Sun

AbstractThe energy–momentum tensor (EMT) for a spin-3/2 baryon is related to seven mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $$\Delta $$ Δ GFFs within the SU(2) Skyrme model based on the large $$N_{c}$$ N c limit.


1971 ◽  
Vol 32 (C5) ◽  
pp. C5b-269-C5b-270
Author(s):  
Kuniharu Kubodera
Keyword(s):  

2019 ◽  
Author(s):  
Elvar Jónsson ◽  
Asmus Ougaard Dohn ◽  
Hannes Jonsson

This work describes a general energy functional formulation of a polarizable embedding QM/MM scheme, as well as an implementation where a real-space Grid-based Projector Augmented Wave (GPAW) DFT method is coupled with a potential function for H<sub>2</sub>O based on a Single Center Multipole Expansion (SCME) of the electrostatics, including anisotropic dipole and quadrupole polarizability.


2011 ◽  
Vol 14 (2) ◽  
pp. 116-122 ◽  
Author(s):  
R.A. Radhi ◽  
◽  
N.M. Adeeb ◽  
A.K. Hashim ◽  
◽  
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