Zheng-Gang Wu | Search arXiv

arXiv2026

Homology and higher-order intermediate categories for proper abelian subcategories

Without needing a $t$-structure, we establish natural long exact homology sequences on finite extension windows with $\ell+1$ layers of extension-closed proper abelian subcategories, assuming vanishing of negative self-extensions in degrees $1,\ldots,\ell+1$, and prove uniform sharpness of this bound. In the Krull-Schmidt setting, we classify intermediate subcategories stable under taking pure homology layers by compatible sequences.

math.RT↗

arXiv2023

Exotic nonaxial-octupole shapes in $N=184$ isotones from covariant density functional theories

The nonaxial octupole shape in some nuclei with $N = 184$, namely, $^{284}$Fm, $^{286}$No, $^{288}$Rf, and $^{290}$Sg, is investigated using covariant density functional theories. Employing the density-dependent point-coupling covariant density functional theory with the parameter set DD-PC1 in the particle-hole channel, it is found that the ground states of $^{284}$Fm, $^{286}$No, $^{288}$Rf, and $^{290}$Sg have pure nonaxial octupole shapes with deformation parameters $β_{31} \approx 0.08$ and $β_{33} \approx -0.01 \sim -0.03$. The energy gain due to the $β_{31}$ and $β_{33}$ distortion is $\sim$ 1 MeV. The occurrence of the nonaxial octupole correlations is mainly from the proton orbitals $1i_{13/2}$ and $2f_{7/2}$, which are close to the proton Fermi surface. The dependence of the nonaxial octupole effects on the form of the energy density functional and on the parameter set is also studied.

nucl-th↗