The Higgs Sector of the Minimal 3 3 1 Model Revisited

The mass spectrum and the eigenstates of the Higgs sector of the minimal 3 3 1 model are revisited in detail. There are discrepancies between our results and previous results by another author.Comment: 20 pages, latex, two figures. One note and one reference are adde

Evolution of Nuclear Shell Structure due to the Pion Exchange Potential

The evolution of nuclear shell structure is investigated for the first time within density-dependent relativistic Hartree-Fock theory and the role of $\pi$-exchange potential is studied in detail. The energy differences between the neutron orbits \Lrb{\nu1h_{9/2},\nu 1i_{13/2}} in the N=82 isotones and between the proton ones \Lrb{\pi1g_{7/2},\pi1h_{11/2}} in the Z=50 isotopes are extracted as a function of neutron excess $N-Z$. A kink around $Z = 58$ for the N=82 isotones is found as an effect resulting from pion correlations. It is shown that the inclusion of $\pi$-coupling plays a central role to provide realistic isospin dependence of the energy differences. In particular, the tensor part of the $\pi$-coupling has an important effect on the characteristic isospin dependence observed in recent experiments.Comment: 4 pages and 4 figure

Carbon Border Adjustment Mechanism Impact Assessment Report for Vietnam

The EU’s Carbon Border Adjustment Mechanism (CBAM) is evolving rapidly, with many uncertainties remaining regarding its long-term scope, embedded emissions calculation, and reactions of EU-trade partners. In its current form, the CBAM can affect Vietnamese enterprises exporting to EU although its direct impacts on Vietnam’s GDP are unlikely significant. If the CBAM is expanded to other trade-intensive sectors of Vietnam or taken up by other key trading partners of Vietnam, the impacts may grow quickly. Therefore, Vietnam should engage proactively with the CBAM and prepare for mitigation of potential impacts. One of the pro-active approaches is to accelerate and deepen the adoption of carbon pricing. This will facilitate energy transition, support achievement of Vietnam’s climate change mitigation target (NDC) under the Paris Agreement and long-term net-zero targets and would allow to harness co-benefits. It is also advisable for Vietnam to engage in constructive dialogues with the EU in order to negotiate a fair implementation of CBAM that takes into account Vietnam’s efforts. A key demand here should be the use of emissions credits instead of having to buy CBAM certificates

Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the complete set of eigen-solutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N=82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of $\rho$-tensor couplings.Comment: 11 pages, 2 tables and 4 figure

New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling

New parameter sets for the Lagrangian density in the relativistic mean field (RMF) theory, PK1 with nonlinear sigma- and omega-meson self-coupling, PK1R with nonlinear sigma-, omega- and rho-meson self-coupling and PKDD with the density-dependent meson-nucleon coupling, are proposed. They are able to provide an excellent description not only for the properties of nuclear matter but also for the nuclei in and far from the valley of beta-stability. For the first time in the parametrization of the RMF Lagrangian density, the center-of-mass correction is treated by a microscopic way, which is essential to unify the description of nuclei from light to heavy regions with one effective interaction.Comment: 22 pages, 16 EPS figures, RevTeX

Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory

The spin symmetry in the Dirac negative energy spectrum and its origin are investigated for the first time within the density-dependent relativistic Hartree-Fock (DDRHF) theory. Taking the nucleus $^{16}$O as an example, the spin symmetry in the negative energy spectrum is found to be a good approximation and the dominant components of the Dirac wave functions for the spin doublets are nearly identical. In comparison with the relativistic Hartree approximation where the origin of spin symmetry lies in the equality of the scalar and vector potentials, in DDRHF the cancellation between the Hartree and Fock terms is responsible for the better spin symmetry properties and determines the subtle spin-orbit splitting. These conclusions hold even in the case when significant deviations from the G-parity values of the meson-antinucleon couplings occur.Comment: 13 pages, 7 figures, 1 table, accepted by Eur. Phys. J.

The relationship between sedentary behavior and dry eye disease

Purpose: Sedentary behavior (SB) has been linked with low-grade systemic inflammation, which could play a role in the development of dry eye disease (DED). This cross-sectional study aims to investigate the association between SB and DED. Methods: We assessed 48,418 participants from the population-based Lifelines cohort (58% female, 18–96 years). Women's Health Study (WHS)-defined DED was the primary outcome. SB was assessed using the Marshall Sitting Questionnaire. The relationship between DED and SB was analyzed using logistic regressions, corrected for age, sex, BMI, smoking status, demographics, and 48 comorbidities. Any potential modifying effect of physical activity (PA) was also assessed, and the analyses were repeated excluding the most computer-intensive domains, investigating SB independent from screen exposure. Results: WHS-defined DED was present in 9.1% of participants. Greater SB was associated with an increased risk of DED (odds ratio (OR) 1.015 per hour/day, 95%CI 1.005–1.024, P = 0.004). The association between SB and DED was only significant for those with less than WHO-recommended PA (OR 1.022, 95%CI 1.002–1.042, P = 0.027), and not in participants meeting WHO's recommendation (OR 1.011, 95%CI 0.999–1.023, P = 0.076). Lastly, when excluding computer-related sitting, the relationship between SB and DED was attenuated, and no longer significant (OR 1.009, 95%CI 0.996–1.023, P = 0.19). Conclusions: Greater sedentary time was tied to an increased risk of DED, especially for those with lower PA levels than WHO recommendations. However, as there was no significant association when computer-intensive sitting time was excluded, screen use could explain the observed relationship and should be noted as a possible key confounder.</p

On Dirac Factorization, Fractional Calculus, and Polynomial Linearization

We postulate the existence of fractional order derivative operators that satisfy a semi-group property in order to further factor the Klein-Gordon equation in Dirac's fashion. The analog of Dirac's matrices are found and we study the generalization of the Dirac algebra generated by these matrices. In this way, a hierarchy of generalized Clifford algebras is formed. We then apply this procedure to Schr\"odinger's equation, and examine the resulting coefficients before moving to a more general setting in which we study the linearization of polynomials with coefficients that do not commute with the indeterminates. Partial differential equations with non-constant coefficients are the archetypal example in this setting.Comment: 15 page