Elastic magnetic form factors of exotic nuclei

Abstract

How to identify the orbital of the valence nucleon(s) of exotic nuclei is an important problem. The elastic magnetic electron scattering is an excellent probe to determine the valence structure of odd-A nuclei. The relativistic mean-field theory has been successfully applied to systematic studies of the elastic charge electron scattering from even-even exotic nuclei. The extension of this method to investigate the elastic magnetic electron scattering from odd-A exotic nuclei is a natural generalization. The experimental form factors of 17 O and 41 Ca are reproduced very well with the help of the spectroscopic factors which are introduced into the relativistic treatment of the magnetic electron scattering for the first time. The emphases are put on the magnetic form factors of 15,17,19 C, 23 O, 17 F, and 49,59 Ca calculated in the relativistic impulse approximation. Great differences have been found in the form factors of the same nucleus with different configurations. Therefore, the elastic magnetic electron scattering can be used to determine the orbital of the last nucleon of odd-A exotic nuclei. Our results can provide references for the electron scattering from exotic nuclei in the near future.

Elastic magnetic electron scattering from deformed nuclei

“…In summary, we have found that the geometrical factors in the deformed formalism reduce the multipoles with respect to the spherical ones and help to improve the agreement with experiment in all the deformed cases studied. These reduction factors appear naturally in the deformed formalism, whereas they have to be introduced ad hoc to fit the data in other approaches [21,33]. Collective effects manifest mainly at low-q values through M1 rotational multipoles.…”

Typical, finite baths as a means of exact simulation of open quantum systems

“…The ergodicity of the eigenstates of certain (non-random) multi-body Hamiltonians was also investigated in the context of understanding thermalization [23,29,30]. Much more recently it was shown by Popescu, Short and Winter [31], and Goldstein et al [32] (see also [33][34][35][36][37]), that almost every pure state within a narrow energy band will behave as the microcanonical ensemble, from which it follows that random states will have the same property. Since almost all states have this ergodic property, states that do are called typical states.…”

Transverse response of bound single-nucleon Dirac-4 spinors of spin-orbit partners to elastic electron scattering

“…We shall mainly focus on calculating the component responses of the upper component, the lower component, and the crossed term of the relativistic bound single-nucleon wave functions of the spin-orbit partner states to elastic magnetic electron scattering and discussing the relative importance of the roles played by the components of the spin-orbit Dirac-4 spinors in elastic magnetic electron-nucleus scattering process accordingly. In addition, the expression of the form factors given in [17] shows that the total transverse response function can also be separated into the component resulting from the spin-related current transition density and the one resulting from the convection current transition density, so we also hope that the research can reveal a little more about the relation between the current transition densities and the corresponding responses in elastic magnetic electron scattering.…”

“…According to the models used, there can be a couple of different methods to calculate the form factors [1][2][3][4][5][11][12][13][14][15][16], and each method has its own advantage in revealing the relation between the model and the experimental data. In an earlier publication [ 17], we calculated the elastic magnetic form factors within the relativistic single particle nuclear shell model based on the results given in Refs. [1,[18][19][20][21][22][23][24][25].…”

“…[1,[18][19][20][21][22][23][24][25]. Numerical evaluations showed that the formulas could very well reproduce the experimental data of the odd-A nuclei with a single nucleon outside the closed shells or subshells, such as 17 O and 41 Ca [ 17], with the single-nucleon wave functions generated using the relativistic mean field (RMF) model. The expression of the form factors shows that the total transverse response function can be separated into three components, which are directly related to the upper component, the lower component, and the crossed term of the Dirac-4 spinors, respectively.…”