Conservation Laws of Physics in Dirac Vacuum and β-Decay of Nuclei

The laws of conservation of energy, linear momentum. and angular momentum of a system form a closed unit according to Noether's theorem. A generalization of these laws (including spin) for elementary par- ticles taking into account the states of negative energies of the Dirac vacuum is given. A new interpretation of the β-decay of nuclei without neutrinos. using interactions with Dirac's anti-world is discussed, which ex- plains all characteristics of the β-continuum. A quantum-electrodynamic theory of β-decay is presented in which Fermi's constant g of weak interactions is determined from first principles (without neutrinos). The lat- ter is an expression of e, h, c, m, M, and R, i.e., g is not an independent constant of physics nor is it necessa- ry to measure it.

Benford's Law and β-Decay Half-Lives

The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated. We have found that they are in satisfactory agreement with Benford＇s law, which states that the frequency of occurrence of each figure, 1-9, as the first significant digit in a surprisingly large number of different data sets follows a logarithmic distribution favoring the smaller ones. Benford＇s logarithmic distribution of β-deeay half-lives can be explained in terms of Neweomb＇s justification of Benford＇s law and empirical exponential law of β-decay half-lives. Moreover, we test the calculated values of 6721 β-decay half-lives with the aid of Benford＇s law. This indicates that Benford＇s law is useful for theoretical physicists to test their methods for calculating β-decay half-lives.

β-Decay of Light Neutron-Rich Nuclei

The β-decays of neutron-rich carbon, nitrogen and fluorine isotopes have been systematically studied using the OXBASH shell Model. In the psd, spsd and spsdpf model space, we use the WBP interaction to calculate the half-lives and neutron emission probabilities of neutron- rich carbon and nitrogen isotopes, respectively. With the USD （W） and CW interactions, we calculate the half-lives and neutron emission probabilities of neutron-rich fluorine isotope in the sd model space, respectively. The calculated half-lives and neutron emission probabilities reproduce recent experimental data very well. It seems to show that the particles of the neutron-rich carbon and nitrogen isotopes are mainly excited in the spsd space. The β-decay of 21N to the neutron bound states in 210 is mostly the first forbidden transition which makes the neutron emission probability increase. The theoretical calculation of β-decay of 25F to 25Ne with CW interaction shows that CW interaction is better than USD interaction.

Calculations of β-decay half-lives of proton-rich nuclei

We investigate the half-lives of β + /EC(electron capture) decay using the proton-neutron quasiparticle random-phase approximation(pnQRPA) with a δ-form Gamow-Teller residual interaction.Both particle-hole and particle-particle residual interactions are consistently introduced in dealing with the pnQRPA matrix equation.The sensitivity of the calculated half-lives to some physical quantities used in the calculations is examined.Calculations are performed for even-even neutron-deficient isotopes ranging from Z = 10 to Z = 76.Good agreement between experiment and theory is achieved especially for the nuclei far from stability,and the results of our calculations are discussed with comparison with other theoretical results.Predictions on the β-decay half-lives of some very neutron-deficient nuclei are also given for reference in future experiments.

Fully self-consistent calculation ofβ-decay half-lives within Skyrme energy density functional

β-decay half-lives of some magic and semi-magic nuclei have been studied in a fully self-consistent Skyrme Hartree-Fock(HF) plus charge-exchange random phase approximation(RPA).The self-consistency is addressed,in that the same Skyrme energy density functional is adopted in the calculation of ground states and Gamow-Teller excited states.First,the impact of J2 terms on the β-decay half-lives is investigated by using the SGII interaction,revealing a large influence.Subsequently,numerical calculations are performed for the selected nuclei with Skyrme energy density functionals SGII,LNS,SKX,and SAMi.Finally,comparisons to available experimental data and predictions of different theoretical models are discussed.

Available Face-Changing Effect

Based on mathematical foresight and beyond the mainstream inertial thinking pattern, the author believes that if neutrinos were really tachyons, the mystery of neutrinos might be solved. Fortunately, the space-like theory of special relativity reveals that there would exist an observable effect i.e. a “face-changing effect”, not oscillation, which was just related to the superluminal motion. As long as the motion velocity of an electron anti-neutrino was greater than c2/v, where v was the instantaneous thermal motion velocity of its mother neutron at the time of β-decay, a corresponding electron neutrino formed from the face-changing would be observed on the journey. Therefore, a special and easy way to judge the physical nature of neutrinos may be suggested the reactor neutrino experimental groups all over the world, in addition to the current studies involving the disappearance mode of , to add a new experimental search after ve in the current, to see whether a few ve neutrinos would exceed the background counting. “Yes” result would reveal the neutrinos being tachyons, and “no” would be not.

Neutrino as Specific Magnetic ϒ-Quantum

In the present work, the consideration is being given to the possibility that neutrinos are specific magnetic γ-quanta (magnetic solitons), devoid electric components. It is shown that the creation of these magnetic γ-quanta in the empty space (in the ether) can be understood on the basis of standard Maxwell theory. As a rule, electrodynamics states that the electromagnetic waves are created by oscillations of dipoles. These waves have obligatorily electric and magnetic components. A magnetic γ-quantum radiates when a nuclear reaction creates a relativistic particle possessing a magnetic moment that the original particle does not have. Due to the lack of magnetic monopoles in nature, magnetic γ-quanta weakly interact with matter. This property allows to identify them with neutrinos. This concept finds confirmation in the fact that by following it we get a new insight into the nature of π-meson and μ-meson, and become able to calculate their masses with a good precision. It is supposed needed to repeat the Lederman’s experiment at low energy of neutrinos.

Influence of nuclear physics inputs and astrophysical conditions on r-process

The rapid neutron-capture process(r-process) is one of the main mechanisms to explain the origin of heavy elements in the universe. Although the past decades have seen great progress in understanding this process, the related nuclear physics inputs to r-process models include significant uncertainty. In this study, ten nuclear mass models, including macroscopic, macroscopicmicroscopic, and microscopic models, are used to calculate the β-decay rates and neutron-capture rates of the neutron-rich isotopes for the r-process simulations occurring in three classes of astrophysical conditions. The final r-process abundances include uncertainties introduced by the nuclear mass model mainly through the variation of neutron-capture rates, whereas the uncertainties of β-decay rates make a relatively small contribution. The uncertainties in different astrophysical scenarios are also investigated,and are found to be connected to the diverse groups of nuclei produced during nucleosynthesis.

Nuclear mass parabola and its applications

We propose a method for extracting the properties of the isobaric mass parabola based on the total doubleβ-decay energies of isobaric nuclei.Two important parameters of the mass parabola,the location of the mostβ-stable nuclei ZA and the curvature parameter bA,are obtained for 251 A values,based on the total doubleβ-decay energies of nuclei compiled in the AME2016 database.The advantage of this approach is that the pairing energy term PA caused by the odd-even variation can be removed in the process,as well as the mass excess M(A,ZA)of the most stable nuclide for the mass number A,which are employed in the mass parabolic fitting method.The Coulomb energy coefficient ac=0.6910 MeV is determined by the mass difference relation for mirror nuclei,and the symmetry energy coefficient is also studied by the relation asym(A)=025 bAZA.