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Three-body correlations in few-body nuclei  [PDF]
A. Arriaga,V. R. Pandharipande,R. B. Wiringa
Physics , 1995, DOI: 10.1103/PhysRevC.52.2362
Abstract: A detailed comparison of Faddeev and variational wave functions for $^3$H, calculated with realistic nuclear forces, has been made to study the form of three-body correlations in few-body nuclei. Three new three-body correlations for use in variational wave functions have been identified, which substantially reduce the difference with the Faddeev wave function. The difference between the variational upper bound and the Faddeev binding energy is reduced by half, to typically $<2\%$. These three-body correlations also produce a significant lowering of the variational binding energy for $^4$He and larger nuclei.
Three-body correlations in Borromean halo nuclei  [PDF]
F. M. Marques,M. Labiche,N. A. Orr
Physics , 2001, DOI: 10.1103/PhysRevC.64.061301
Abstract: Three-body correlations in the dissociation of two-neutron halo nuclei are explored using a technique based on intensity interferometry and Dalitz plots. This provides for the combined treatment of both the n-n and core-n interactions in the exit channel. As an example, the breakup of 14Be into 12Be+n+n by Pb and C targets has been analysed and the halo n-n separation extracted. A finite delay between the emission of the neutrons in the reaction on the C target was observed and is attributed to 13Be resonances populated in sequential breakup.
Correlations in light nuclei and their relation to fine tuning and uncertainty quantifications of many body forces in low-energy nuclear physics  [PDF]
Sergiu Lupu,Nir Barnea,Doron Gazit
Physics , 2015,
Abstract: The large nucleon-nucleon scattering length, and the isospin approximate symmetry, are low energy properties of quantum chromodynamics (QCD). These entail correlations in the binding energies of light nuclei, e.g., the A=3 iso-multiplet, and Tjon's correlation between the binding energy of three and four body nuclei. Using a new representation of these, we establish that they translate into a correlation between different short-range contributions to three body forces in chiral effective field theory of low-energy nuclear physics. We demonstrate that these correlations should be taken into account in order to avoid fine-tuning in the calibration of three body forces. We relate this to the role of correlations in uncertainty quantification of non-renormalizable effective field theories of the nuclear regime. In addition, we show that correlations can be useful in assessing the importance of forces induced by renormalization group (RG) transformations. We give numerical evidence that such RG transformations can be represented effectively by adding a constant to the pure three nucleon contact low energy constant $c_E$.
The Coulomb Sum and Proton-Proton Correlations in Few-Body Nuclei  [PDF]
R. Schiavilla,R. B. Wiringa,J. Carlson
Physics , 1993, DOI: 10.1103/PhysRevLett.70.3856
Abstract: In simple models of the nuclear charge operator, measurements of the Coulomb sum and the charge form factor of a nucleus directly determine the proton-proton correlations. We examine experimental results obtained for few-body nuclei at Bates and Saclay using models of the charge operator that include both one- and two-body terms. Previous analyses using one-body terms only have failed to reproduce experimental results. However, we find that the same operators which have been used to successfully describe the charge form factors also produce substantial agreement with measurements of the Coulomb sum.
Three- and Four-body correlations in nuclear matter  [PDF]
M. Beyer
Physics , 2001, DOI: 10.1007/s006010200014
Abstract: Few-nucleon correlations in nuclear matter at finite densities and temperatures are explored. Using the Dyson equation approach leads to effective few-body equations that include self energy corrections and Pauli blocking factors in a systematic way. Examples given are the nucleon deuteron in-medium reaction rates, few-body bound states including the $\ga$-particle, and $\ga$-particle condensation.
Microscopic analysis of two-body correlations in light nuclei  [PDF]
Andreas Peter,Wolfgang Cassing,Joern M. Haeuser,Alfred Pfitzner
Physics , 1993, DOI: 10.1016/0375-9474(94)90016-7
Abstract: Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close to the groundstate, the relaxation of single-particle excitations and the damping of collective modes. For this purpose the nonlinear equations of motion are solved numerically within a finite oscillator basis for the first time adopting short-range repulsive and long-range attractive two-body forces. We find in all cases that the formation of long- and short-range correlations and their mixing is related to the long- and short-range part of the nucleon-nucleon interaction which dominate the resummation of loop or ladder diagrams, respectively. However, the proper description of relaxation or damping phenomena is found to require both types of diagrams as well as the mixed terms simultaneously.
Angular Correlations in Breakup of Three-Body Halo Nuclei  [PDF]
E. Garrido,D. V. Fedorov,A. S. Jensen
Physics , 1998, DOI: 10.1103/PhysRevC.58.2654
Abstract: We use the three-body model and the sudden approximation to compute angular correlations in high-energy fragmentation reactions of two-neutron halos on light targets. The contribution from one-neutron absorption by far dominates over that of neutron scattering. We use 6He (n+n+alpha) and 11Li (n+n+9Li) as examples and study the dependence of the predictions of this model on different physical assumptions and parameters. PACS number(s): 25.60.-t, 25.60.Gc, 21.45.+v}
Short-Range Correlations and the One-Body Density Matrix in Finite Nuclei  [PDF]
A. Polls,H. Müther,W. H. Dickhoff
Physics , 1995, DOI: 10.1016/0375-9474(95)00380-J
Abstract: The effects of short-range correlations derived from a realistic meson-exchange potential on the single-particle density matrix in finite nuclei are investigated by analyzing the one-body density in terms of the natural orbits. Basic features of these natural orbits and their spectral distributions are discussed. For many observables it seems to be sufficient to approximate the one-body density matrix in terms of those natural orbits, which exhibit the largest occupation probabilities. For the investigation of the high-momentum components in the single-particle density, however, it is important to take into account natural orbits with small occupation probabilities, originating from the single-particle Green function at large negative energies.
The One-Body and Two-Body Density Matrices of Finite Nuclei and Center-of-Mass Correlations  [PDF]
A. Shebeko,P. Papakonstantinou,E. Mavrommatis
Physics , 2005, DOI: 10.1063/1.2200903
Abstract: A method is presented for the calculation of the one-body and two-body density matrices and their Fourier transforms in momentum space, that is consistent with the requirement for translational invariance, in the case of a nucleus (a finite self-bound system). We restore translational invariance by using the so-called fixed center-of-mass approximation for constructing an intrinsic nuclear ground state wavefunction by starting from a non-translationally invariant wavefunction and applying a projection prescription. We discuss results for the one-body and two-body momentum distributions of the 4He nucleus calculated with the Slater determinant of the harmonic oscillator orbitals, as the initial non-translationally invariant wavefunction. Effects of such an inclusion of CM correlations are found to be quite important in the momentum distributions.
Proton-Proton and Proton-Neutron Correlations in Medium-Weight Nuclei: Role of the Tensor Force within a Many-Body Cluster Expansion  [PDF]
M. Alvioli,C. Ciofi degli Atti,H. Morita
Physics , 2007,
Abstract: A detailed analysis of the effect of tensor correlations on one- and two-body densities and momentum distributions of complex nuclei is presented within a linked cluster expansion providing reliable results for the ground state properties of nuclei calculated with realistic interactions.
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