Numerical Calculation of Monomer Density Matrix of Nuclear Shell Model

Vladimir Zelevinsky, Sofia Karampagia

Manan Vyas, V. K. B. Kota

Durgesh Pandey, Ashutosh Singh, Ankit Das +1 more

A. Deveikis, Gintautas Kamuntavičius

A new method for calculation of shell model intrinsic density matrices, defined as two-particle density matrices integrated over the centre-of-mass position vector of two last particles and complemented with isospin variables, has been developed. The intrinsic density matrices obtained are completely antisymmetric, translation-invariant, and do not employ a group-theoretical classification of antisymmetric states. They are used for exact realistic density matrix expansion within the framework of the reduced Hamiltonian method. The procedures based on precise arithmetic for calculation of the intrinsic density matrices that involve no numerical diagonalization or orthogonalization have been developed and implemented in the computer code.

S. S. Dimitrova, D. N. Kadrev, Anton Nikolaev Antonov +1 more

T. Papenbrock, David J. Dean

We employ the density matrix renormalization group (DMRG) and the wavefunction factorization method for the numerical solution of large-scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic interactions due to the implementation of the finite algorithm. The wavefunction factorization of fpg -shell nuclei yields rapidly converging approximations that are at the present frontier for large-scale shell-model calculations.