Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite temperature in a framework that preserves rotational invariance. The auxiliary-field Monte Carlo method is used to generate a statistical ensemble and calcul...

This work presents a new adaptive multilevel approximation of the gradient operator on a recursively refined spherical geodesic grid. The multilevel structure provides a simple way to adapt the computation to the local structure of the gradient operator so that high resolution computations are performed only in regions where singularities or sharp transitions occur. This multilevel approximatio...

The T-Spherical Fuzzy set (T-SPHFS) is one of the core simplifications quite a lot fuzzy concepts such as (FS), intuitionistic (ITFS), picture (PIFS), Q-rung orthopair (Q-RUOFS), etc. T-SPHFS reveals judgment by degree positive membership, abstinence, negative and refusal with relaxed conditions, this more powerful mathematical tool to pair inconsistent, indecisive, indistinguishable informatio...

Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems confined in a finite domain consisting of either point masses or rotating mass shells of different dimension. We establish a direct connection between the spher...

For the purpose of fitting nuclear mean-field models, we search for those spherical nuclei which are well reproduced by a mean-field description. To that end, we investigate the correlation energies for isotopic and isotonic chains of semi-magic nuclei. We find that isotonic chains provide the best pool of data. Motivation Self-consistent nuclear mean-field models are a widely used tool for a h...

Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical result allows for an exact discussion of the loci of the Fisher zeros of the canonical partition function. The microcanonical entropy is found to be nonanaly...