Microscopic many body calculations of spherical nuclei with modern NN-NNN forces - Spherical HF-(E)RPA solver package

Repository with all codes & scripts related to my master thesis taken at CUNI Faculty of Mathematics & Physics in Prague at Insitute of Particle & Nuclear Physics (IPNP). Work is supervised by doc. Mgr. František Knapp PhD. from IPNP.

At present time all the scripts use Julia language. Code should be work fine on all distributions v $\geq$ 1.4. The code uses interaction matrix elements generated in binary format by NuHamil code. $\quad$ https://github.com/Takayuki-Miyagi/NuHamil-public

Most of the code is tested & produces reasonable results. There may be some minor flaws though.

Running code requires these Julia packages:

• DelimitedFiles $\quad$ https://github.com/JuliaData/DelimitedFiles.jl

• CGCoefficient $\quad$ https://github.com/0382/CGcoefficient.jl $\quad$ Requires version v0.2.9

• LinearAlgebra $\quad$ https://github.com/JuliaLang/LinearAlgebra.jl

Repository includes:

• Spherical Hartree-Fock solver for Even-Even nuclei.

• Spherical HF based Leading Order Many-Body Perturbation Theory calculations of Ground State Energy, Radii & Density corrections.

• Spherical Hartree-Fock (Extended) Random-Phase Approximation & Tamm-Dancoff Approximation solver for Even-Even nuclei.

Feel free to use & improve the code. Just please credit us whenever you explicitly use parts of the code.

Later, when most of code is finished & I have more time, I will add more detailed description & a pdf manual on how to run & use the code, furthermore I will also include the full text of the thesis & likely include all data & scripts used for plots.

Note there are small configuration space interactions files binaries included ($\Delta \mathrm{N^{2}LO_{GO}} (394)$ chiral potential, $N_{\mathrm{max}} = 3$, $N_{\mathrm{3max}} = 9$, $\hbar \omega = 16$ MeV). In principle, you can run & play with the code in this small test space.