Fission-isomer identification in fully converged dSCGF calculations for 238U

Determine whether the very deformed dSCGF(2) solution in a fully basis-converged calculation constitutes the fission isomer of 238U.

Background

The paper studies 238U with deformed self-consistent Green’s function theory, using correlated calculations beyond the deformed Hartree–Fock mean field. These calculations produce total-energy curves as functions of the intrinsic quadrupole deformation and reveal a normal-deformed minimum compatible with the ground state, alongside very deformed candidate solutions.

The very deformed dSCGF(2) solutions remain significantly dependent on the accessible basis-size parameters. Because calculations at larger basis dimensions are currently unsafe, the authors cannot establish whether these solutions persist and acquire the energy and deformation expected for the experimentally known fission isomer. They therefore explicitly formulate their identification as a conjecture contingent on full convergence.

References

It can be conjectured that, in a fully converged setting, the very deformed dSCGF$(2)$ solution would be a credible candidate for the so-called fission isomer in ${238}$U.

The iconic $^{238}$U: ab initio nuclear structure theory towards the limit of the periodic table  (2608.28091 - Scalesi et al., 28 Aug 2026) in Results, item 2