Jastrow-Correlated Configuration-Interaction Description of Light Nuclei

Portesi, Mariela; Navarro, J.; Guardiola, R.; Moliner, I.; Bishop, R. F.; Walet, Niels R.

doi:10.1007/978-3-7091-6798-4_9

Cited by 3 publications

(18 citation statements)

References 6 publications

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“…As in the case of the single-particle density, the small magnitude of ρ (2) LO,L (r) and the resemblance between ρ (2) J L,L (r) and ρ (2) J LO,LO (r) are noticeable. Thus the remarks made for the single-particle density also apply in this case.…”

Section: Resultsmentioning

confidence: 83%

Central Jastrow and linear state-dependent correlations in nuclei

Buendı́a

Gálvez

Praena

et al. 2000

J. Phys. G: Nucl. Part. Phys.

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Abstract. Linearized state-dependent and central Jastrow correlated trial wavefunctions are used to study the ground state of spin-isospin saturated p-shell nuclei with V4-type forces. We extend the variational Monte Carlo method to incorporate this kind of operatorial correlation by introducing only minor changes with respect to the case of central correlations. Very good energies are obtained with this wavefunction for the nuclei studied. Finally, a discussion of the role of the different correlation mechanisms included in this trial wavefunction is performed in terms of both the momentum distribution and the one-and two-particle densities in position space.

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Section: Resultsmentioning

confidence: 83%

Central Jastrow and linear state-dependent correlations in nuclei

Buendı́a

Gálvez

Praena

et al. 2000

J. Phys. G: Nucl. Part. Phys.

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“…A study of the excited 2 + and 4 + states of 8 Be and 12 C nuclei, which are the first excited states of their ground state rotational band, is done in table 2. We show the energy of both excited states together with the transition probability between the 2 + and the ground state calculated from the different trial wavefunctions considered in this work as compared with the experimental values [25,26].…”

Section: Resultsmentioning

confidence: 99%

“…A variational study of the ground state and some members of its rotational band for 8 Be and 12 C has been carried out. Trial wavefunctions that comprise several aspects of the nuclear dynamics have been used.…”

Section: Discussionmentioning

confidence: 99%

“…The correlation factor is the product of a central Jastrow term, F J , and a state-dependent term, F L , with linear correlations. The model function, , is built in such a way that it has good angular momentum, giving some states of the rotational band of 8 Be and 12 C nuclei. For an A particle nucleus this trial wavefunction can be written as…”

Section: Trial Wavefunction and Nuclear Potentialmentioning

confidence: 99%

“…Upper plot, spherically averaged two-body density calculated from trial wavefunctions with different correlation factors for8 Be. All the wavefunctions include deformations and have a good angular momentum.…”

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confidence: 99%

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

Buendı́a

Gálvez

Praena

et al. 2001

J. Phys. G: Nucl. Part. Phys.

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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.

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

et al. 1998

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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.

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Jastrow-Correlated Configuration-Interaction Description of Light Nuclei

Cited by 3 publications

References 6 publications

Central Jastrow and linear state-dependent correlations in nuclei

Central Jastrow and linear state-dependent correlations in nuclei

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

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

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Jastrow-Correlated Configuration-Interaction Description of Light Nuclei

Cited by 3 publications

References 6 publications

Central Jastrow and linear state-dependent correlations in nuclei

Central Jastrow and linear state-dependent correlations in nuclei

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

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

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Product

Resources

About

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