Projected-deformed wavefunctions with central Jastrow and linear state-dependent correlations for⁸Be and¹²C

Abstract

Trial wavefunctions including angular momentum projection and deformations, with linearized state-dependent and central Jastrow-type correlations are used to study the ground state rotational band of both 8 Be and 12 C nuclei. The competition between deformations, central Jastrow-type correlations and operatorial linear correlations is systematically analysed on different properties such as the energy, the square root mean radii, and transition amplitudes of the rotational band. A study of the one-and two-body spatial ground state densities is also carried out. All the matrix elements have been calculated by performing Monte Carlo simulations.

Projected multicluster model with Jastrow and linear state dependent correlations for12⩽A⩽16nuclei

“…(5) linear parameters as in JL; i.e., the variational freedom is restricted only to the linear parameters of the different operatorial channels. This scheme has shown to work properly for spin-and isospin-saturated nuclei [23,24] in such a way that the loss of energy due to this partial optimization was very small. This is convenient because when state dependent correlations are included, two things happen: first the calculation becomes slower, and second, the statistical error increases.…”

“…This is the only part of the trial wave function where state dependent correlations are present explicitly. Here we employ the same parametrization for the correlation functions g͑i , j͒ and f͑r͒, used in previous works [22][23][24], which has shown to provide good results:…”

“…The only difference is that, after rotation, these orbitals depend on the rotated coordinates. This was exploited previously to study A =4n nuclei [24,26]. When the nuclei are not spin or isospin saturated the rotation gives rise to a mixing of spin states.…”

“…In order to compute the expectation value of the Hamiltonian in the projected wave function it is convenient to use the expression [24,27] ͗⌿ JKM ± ͉H͉⌿ JKM ± ͘ = 2J + 1…”

Signatures ofαClustering in Light Nuclei from Relativistic Nuclear Collisions

“…Model calculations are verified by comparing to the experimental binding energies, the elastic electromagnetic form factor, and the excitation spectra. Experimental evidence for clustering comes from fragmentation studies, see, e.g., [14].Our basic observation and the following methodology stems from the fact that the intrinsic wave functions of light α-clustered nuclei are deformed [15], exhibiting spa- * Wojciech.Broniowski@ifj.edu.pl † earriola@ugr.es tial correlation between the location of clusters. Imagine we collide a light α-clustered nucleus against a heavy nucleus at extremely high energies, as in relativistic colliders (RHIC, LHC) or fixed-target experiments (SPS).…”