The periodicity of nuclear magnetic moments and nucleon binding energies in light nuclides: Implications for nuclear structure (original) (raw)
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PERIODICITY IN NUCLEAR PROPERTIES
This paper includes the findings of empirical research and the development of a scientific instrument. In the line of stable isotopes of an element, the heaviest stable isotope (with even numbers of Z and N) possesses the maximum number of neutrons (the N/Z ratio remains high). The present research work includes such nuclides of elements and the longest-lived isotopes in the case of polonium and heavier elements. The two nearest elements are taken, and the difference of Mass numbers of nuclides is determined. From calcium to uranium, such values are recorded. As a result of this empirical research
Journal of the Korean Physical Society, 2020
The present paper reports on the spin-parities and the magnetic moments for the ground states of 44 proton-rich isotopes with Z = 21 − 30 and A = 36 − 57, which are important for studies of either reaction rates in X-ray bursts or nuclear structure. These nuclear properties were calculated based on the single-particle shell model. The spins of the concerned nuclei were compared to available experimental data adopted from the NuDat database to evaluate the variations in the astrophysical rates of the rp-process reactions. We found discrepancies, due to the deformed nuclear structure, between the present results and those reported in the NuDat database. The spin uncertainties result in large variations, 13%-200%, in the astrophysical rates of the rp-process reactions. In particular, the spin uncertainties of the 44 V and the 46−49 Mn isotopes significantly affect the astrophysical rates of the reverse reactions of the proton captures 43 Ti(p, γ) 44 V(p, γ) 45 Cr, 45 Cr(p, γ) 46 Mn(p, γ) 47 Fe, 47 Mn(p, γ) 48 Fe, 47 Cr(p, γ) 48 Mn(p, γ) 49 Fe, and 48 Cr(p, γ) 49 Mn(p, γ) 50 Fe. Moreover, the magnetic moments of most of the isotopes were predicted for the first time. The results show that the magnetic moments are in the order of μp(1f 7/2) > μp(2p 3/2) > μn(1d 3/2) > μn(1f 7/2) for the nuclei having an unpaired nucleon in the proton/neutron shells. The present study suggests that reliable calculations and/or measurements for the properties of proton-rich nuclei are highly demanded.
The accepted view for the construction of atoms expects no simple correlation between the magnetic moments of spin-1/2 particles and spin-1/2 nuclei. Also accepted is that magnetic moments for nuclei represent a construction where unpaired particles show their presence by providing a magnetic moment to an atomic nucleus. The information provided herein clearly shows that power curve plots of mass versus magnetic moment for both particles and nuclei produce curves with three plotted points being the only number acceptable, and that there are interconnections between both particles and nuclei, as well as between curves. If particles and nuclei equally share these interconnections between mass and , these cannot be accurate explanations for either particle or nuclei construction. The additional families of three similar to the electron, muon, and tauon that appear as power curves with slopes not mimicking the magneton curve , clearly suggests new physics. Similar correlations between spin-3/2 particles and spin-3/2 nuclei indicate that the correlations are not specific to spin-1/2 and likely apply to all spin values. The suggestion is that all items of the same spin state are created in the same manner, and that the leptons are no exception.
Nontrivial aspects of the onset of nuclear collectivity: Static moments
Physical Review C, 1996
We consider several topics concerning static magnetic dipole and electric quadrupole moments (µ and Q) as signatures of the onset of nuclear collectivity. Having previously noted that in 50 Cr there is an abrupt change of sign in Q of yrast states with J π = 10 + , 12 + , and 14 + relative to lower J states, we discuss whether these states are oblate or prolate. We next show that configuration mixing leads to much larger changes in Q than in µ. We then look for other bands of interest in 50 Cr. Finally we discuss the Jolos-von Brentano relationship which relates Q of 2 + 1 states to B(E2)'s for transitions from and to the 2 + 1 states.
Physical Review A, 2011
We have considered a mechanism for inducing a time-reversal violating electric dipole moment (EDM) in atoms through the interaction of a nuclear EDM dN with the hyperfine interaction, the "magnetic moment effect". We have derived the operator for this interaction and presented analytical formulas for the matrix elements between atomic states. Induced EDMs in the diamagnetic atoms 129 Xe, 171 Yb, 199 Hg, 211 Rn, and 225 Ra have been calculated numerically. From the experimental limits on the atomic EDMs of 129 Xe and 199 Hg, we have placed the following constraints on the nuclear EDMs, |dN ( 129 Xe)| < 1.1 × 10 −21 |e| cm and |dN ( 199 Hg)| < 2.8 × 10 −24 |e| cm.
Nuclear Magnetic Antishielding of Nuclei in Molecules. Magnetic Moments ofF19,N14, andN15
Physical Review, 1964
The combination of molecular beam data on spin-rotational interactions in molecules with chemical shift data has been used to calculate the paramagnetic part of the nuclear magnetic shielding constant for F in HF and F~. With the assumption of the sign of the spin-rotational constant in Ns" as positive (i.e. , a net Nf, 'gative rotational magnetic field at the nitrogen nucleus), the paramagnetic part of the nuclear magnetic shielding constant in Ng has been calculated. The results, when combined with reliable calculations of the diamagnetic part of the shielding constant, yield the total shielding constants. These are found to be: F in HF: o = (414.9&1. 4) X10 ', F in Fs. a = (-210+8.0))&10 ', N in ¹: o = (-101+25. 0) X10 ', and demonstrate the phenomenon of nuclear magnetic antishielding in F2 and N2, as well as in other compounds. Use of these shielding constants permits considerable improvement in the estimates of the bare nuclear magnetic moments of Quorine and nitrogen. The results are pN(F) = 2.628353&0.000005 nm, pN (N") = 0.403562 0.0000j.0 nm, pw(N~) =-0.283049~0.000007 nm.