Detailed study of the cluster structure of light nuclei in a three-body model (IV). Large space calculation for A = 6 nuclei with realistic nuclear forces

Kukulin, V. I.; Pomerantsev, V. N.; Razikov, Kh.D.; Voronchev, V.T.; Ryzhikh, G. G.

doi:10.1016/0375-9474(94)00494-8

Cited by 97 publications

(100 citation statements)

References 72 publications

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“…For local spin-isospin independent interactions, 3 H, 3 He, and 4 He nuclei would be completely spatially symmetric and no sign problem would exist. For more realistic local interactions, the dominant spatially-symmetric component of the wave function and the relatively large excitation energies imply that the sign problem is not very significant for three-and four-body nuclei [34].…”

Section: Sampling Of the Pathsmentioning

confidence: 99%

Quantum Monte Carlo calculations of nuclei withA<~7

et al. 1997

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We report quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A ≤ 7 using a realistic Hamiltonian containing the Argonne v 18 two-nucleon and Urbana IX three-nucleon potentials. A detailed description of the Green's function Monte Carlo algorithm for systems with state-dependent potentials is given and a number of tests of its convergence and accuracy are performed. We find that the Hamiltonian being used results in ground states of both 6 Li and 7 Li that are stable against breakup into subclusters, but somewhat underbound compared to experiment. We also have results for 6 He, 7 He, and their isobaric analogs. The known excitation spectra of all these nuclei are reproduced reasonably well and we predict a number of excited states in 6 He and 7 He. We also present spin-polarized onebody and several different two-body density distributions. These are the first microscopic calculations that directly produce nuclear shell structure from realistic interactions that fit NN scattering data.

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Section: Sampling Of the Pathsmentioning

confidence: 99%

Quantum Monte Carlo calculations of nuclei withA<~7

et al. 1997

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“…Equation (4) represents the orthogonality condition that the total wave function (2) should be orthogonal to the Pauli-forbidden states of the 3α + N system, u F 's, which are constructed from the Pauli forbidden states between two α particles and those between α particle and extra nucleon N [94][95][96][97][98]. The Pauli-forbidden states are removed by using the Pauli-blocking operator V Pauli [99] in Eq. (6),…”

Section: Structure Of 13 C In the Four-body Cluster Modelmentioning

confidence: 99%

Electric dipole moment of C13

et al. 2017

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We calculate for the first time the electric dipole moment (EDM) of 13 C generated by the isovector CP-odd pion exchange nuclear force in the α-cluster model, which describes well the structures of low lying states of the 13 C nucleus. The linear dependence of the EDM of 13 C on the neutron EDM and the isovector CP-odd nuclear coupling is found to be d13 C = −0.33dn − 0.0020Ḡ(1) π . The linear enhancement factor of the CP-odd nuclear coupling is smaller than that of the deuteron, due to the difference of the structure between the 1/2 − 1 state and the opposite parity (1/2 + ) states. We clarify the role of the structure played in the enhancement of the EDM. This result provides good guiding principles to search for other nuclei with large enhancement factor. We also mention the role of the EDM of 13 C in determining the new physics beyond the standard model.

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“…(1) in that the neutron charges equal zero (Z 1 = Z 2 = 0) and the proton mass m p is substituted by the neutron one m n , although this change of mass practically does not affect the result. The Hamiltonians for both nuclei are also characterized by a small difference between the effective nuclear interaction of a neutron with an α-particle in 14 C nucleus and the effective interaction of a proton with an α-particle in 14 O one, because the distribution of protons in the α-particle has a little larger radius than the corresponding distribution of neutrons (see, e.g., work [11]).…”

Section: Statement Of the Problemmentioning

confidence: 99%

Structure of 14C and 14O Nuclei Calculated in the Variational Approach

Grinyuk

Piatnytskyi

2016

Ukr. J. Phys.

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The structure of mirror 14 C and 14 O nuclei has been studied in the framework of the fiveparticle model (three α-particles and two nucleons). Interaction potentials are proposed, which allowed the energy and radius of 14 C nucleus, as well as the energy of 14 O one, to agree with experimental data. On the basis of the variational approach with the use of Gaussian bases, the energies and wave functions for five-particle systems under consideration are calculated. The charge radius of 14 O nucleus, as well as the charge density distributions and the form factors for both nuclei, are predicted. K e y w o r d s: root-mean-square radius, density distribution, charge form factor, 14 C nucleus, 14 O nucleus.

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Detailed study of the cluster structure of light nuclei in a three-body model (IV). Large space calculation for A = 6 nuclei with realistic nuclear forces

Cited by 97 publications

References 72 publications

Quantum Monte Carlo calculations of nuclei withA<~7

Quantum Monte Carlo calculations of nuclei withA<~7

Electric dipole moment of C13

Structure of 14C and 14O Nuclei Calculated in the Variational Approach

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