Translationally invariant treatment of pair correlations in nuclei II. Tensor correlations

Abstract

We study the extension of our translationally invariant treatment of few-body nuclear systems to include tensor forces and correlations. It is shown that a direct application of our method is not as successful for realistic V6 interactions as our previous results for V4 potentials suggested. We investigate the cause in detail for the case of 4 He, and show that a combination of our method with that of Jastrowcorrelated wave functions seems to be a lot more powerful, thereby suggesting that for mildly to strongly repulsive forces such a hybrid procedure may be an appropriate description.

Central Jastrow and linear state-dependent correlations in nuclei

“…It has been shown that this kind of wavefunction is a good approximation to describe light systems such as 4 He [1,5]. The results are rather close to the most accurate results, obtained by using a Green function Monte Carlo [6] or variational approach with a state-dependent Jastrow correlation [7].…”

“…The effects obtained for the other nuclei are quite similar and thus have not been shown explicitly. A general trend for these nuclei and/or potential is the small magnitude of ρ (1) LO,L (r) and the resemblance between ρ (1) J L,L (r) and ρ (1) J LO,LO (r). These facts indicate that, in spite of their relevance to the binding energy of the system, the state-dependent correlations hardly affect the nuclear density.…”

“…For 4 He the density has been divided by 3. Lower plot, difference functions ρ (1) J L,L (r) (broken curve), ρ (1) LO,L (r) (dotted curve) and ρ (1) J LO,LO (r) (full curve) for 16 O and for the two potentials. more spread as the number of nucleons increases due to the greater relative importance of the pair of particles with the same spin-isospin.…”

“…The aim of this work is to use the VMC method to calculate matrix elements of operators with wavefunctions such as (1) and to search for the optimum values of the free parameters for light and medium nuclei. The key ingredient in the present approximation is the linear dependence of the trial wavefunction on the spin and isospin operators.…”

Continuum coupled-cluster expansion

“…[24,25] for additional information), further applications to nuclear structure calculations based on realistic nuclear interactions proved difficult to *Electronic address: bmihaila@lanl.gov achieve. In 1990s we mainly note the attempt of constructing a translationally invariant CCE in coordinate space [26][27][28], method which might yet offer an attractive alternative for finite nuclei calculations (see Refs. [29,30] for information on recent progress on this approach.)…”