scholarly journals Ground and excited state characteristics of the nuclei with A = 6

2021 ◽  
Vol 22 (1) ◽  
pp. 19-29
Author(s):  
S.B. Doma ◽  

The binding energy, the root-mean-square radius, the magnetic dipole moment, the electric quadrupole moment, and the moment of inertia of the nucleus 6Li are calculated by applying different models. The translation invariant shell model is applied to calculate the binding energy, the root-mean-square radius, and the magnetic dipole moment by using two- and three-body interactions. Also, the spectra of the nuclei with A = 6 are calculated by using the translation-invariant shell model. Moreover, the ft-value of the allowed transition: 6He(Jπ=0+;T=1)β- → 6Li(Jπ=1+;T'=1) is also calculated. Furthermore, the concept of the single-particle Schrodinger fluid for axially symmetric deformed nuclei is applied to calculate the moment of inertia of 6Li. Also, we calculated the magnetic dipole moment and the electric quadrupole moment of the nucleus 6Li in this case of axially symmetric shape. Moreover, the nuclear superfluidity model is applied to calculate the moment of inertia of 6Li, based on a single-particle deformed anisotropic oscillator potential added to it a spin-orbit term and a term proportional to the square of the orbital angular momentum, as usual in this case. The single-particle wave functions obtained in this case are used to calculate the magnetic dipole moment and the electric quadrupole moment of 6Li.

1991 ◽  
Vol 69 (7) ◽  
pp. 808-812 ◽  
Author(s):  
J. Sagle ◽  
W. A. van Wijngaarden

Quantum beats arising from the hyperfine interaction were observed in the fluorescence produced when the 8D3/2, 9D3/2, and 10D3/2 states of 133Cs radiatively decayed to the 6P1/2 state. The period of the beats equals the reciprocal of the magnetic dipole coupling constant a since the 133Cs nucleus has a negligibly small electric quadrupole moment. The results are a = 3.95 ± 0.01, 2.38 ± 0.01, and 1.54 ± 0.02 MHz for the 8D3/2, 9D3/2, and 10D3/2 states, respectively.


2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Ulaş Özdem

AbstractIn this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the $$P_c(4440)$$ P c ( 4440 ) , $$P_c(4457)$$ P c ( 4457 ) and $$P_{cs}(4459)$$ P cs ( 4459 ) pentaquark states by considering them as the diquark–diquark–antiquark and molecular pictures with quantum numbers $$J^P = \frac{3}{2}^-$$ J P = 3 2 - , $$J^P = \frac{1}{2}^-$$ J P = 1 2 - and $$J^P = \frac{1}{2}^-$$ J P = 1 2 - , respectively. In the analyses, we use the diquark–diquark–antiquark and molecular form of interpolating currents, and photon distribution amplitudes to obtain the magnetic dipole moment of pentaquark states. Theoretical examinations on magnetic dipole moments of the hidden-charm pentaquark states, are essential as their results can help us better figure out their substructure and the dynamics of the QCD as the theory of the strong interaction. As a by product, we extract the electric quadrupole and magnetic octupole moments of the $$P_c(4440)$$ P c ( 4440 ) pentaquark. These values show a non-spherical charge distribution.


Author(s):  
Stanley A. Bruce

We address the bound-state dynamics of a neutron with anomalous magnetic dipole moment in the presence of electromagnetic (EM) fields described by a generalized Dirac–Pauli equation. This generalization consists of including appropriate couplings between Lorentz scalar and pseudoscalar fields with EM fields in the Lagrangian of the system. We exactly solve two single-particle problems: first, a Hydrogen-like system; second, a relativistic Schrödinger-like equation for a linear confining potential. We comment on the relevance of this approach to explore fermion (e.g. neutron) self-interactions as solitonic models of the neutron.


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