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Wiringa, Robert B.

Publications and source records attributed to Wiringa, Robert B..

Probing spin-isospin excitations in proton-rich nuclei via the C 11 ( p , n ) N 11 reaction

Tracking the evolution of nuclear properties away from stability serves as a valuable test for nuclear models. In the present work, the (p,n) charge-exchange reaction was used to test the extraction of β- Gamow-Teller transition strengths, B(GT), from proton-rich unstable isotopes, and the resulting B(GT) values were compared to shell-model and ab-initio calculations. The 11 C(p,n) 11 N reaction was measured in inverse kinematics at 95 MeV/u at the National Superconducting Cyclotron Laboratory (NSCL). The B(GT) values to the $\frac{1^-}{2}$ state at 0.73 MeV and the $\frac{3^-}{2}$ state at 2.86 MeV in 11 N were determined to be 0.18(1) stat (3) sys and 0.18(1) stat (4) sys , respectively. These results are consistent with shell-model calculations using the wbp interaction after introducing a phenomenological quenching factor and with ab initio variational Monte Carlo calculations using the NV2 + 3Ia * NN and 3N interactions without any scaling. Additionally, this result is consistent with the B(GT) values extracted from mirror 11 B(n,p) and 11 B(t, 3 He) reactions. In conclusion, this experiment demonstrates the feasibility of using the (p,n) probe in inverse kinematics to extract B(GT) from proton-rich nuclei, although improved background suppression will be important in future experiments.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40

Variational calculations of ground-state properties of 4He, 16O and 40Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes twoand three-body correlations acting on a product of single-particle determinants. Expectation values are evaluated with a cluster expansion for the spin-isospin dependent correlations considering up to five-body cluster terms. The optimal wave function is obtained by minimizing the energy expectation value over a set of up to 20 parameters by means of a nonlinear optimization library. We present results for the binding energy, charge radius, point density, single-nucleon momentum distribution, charge form factor, and Coulomb sum rule. We find that the employed three-nucleon interaction becomes repulsive for A ≥ 16. In 16O the inclusion of such a force provides a better description of the properties of the nucleus. In 40Ca instead, the repulsive behavior of the three-body interaction fails to reproduce experimental data for the charge radius and the charge form factor. We find that the high-momentum region of the momentum distributions, determined by the short-range terms of nuclear correlations, exhibit a universal behavior independent of the particular nucleus. The comparison of the Coulomb sum rules for 4He, 16O, and 40Ca reported in this work will help elucidate in-medium modifications of the nucleon form factors.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Quantum Monte Carlo methods for nuclear physics

Quantum Monte Carlo methods have proved very valuable to study the structure and reactions of light nuclei and nucleonic matter starting from realistic nuclear interactions and currents. These ab-initio calculations reproduce many low-lying states, moments and transitions in light nuclei, and simultaneously predict many properties of light nuclei and neutron matter over a rather wide range of energy and momenta. We review the nuclear interactions and currents, and describe the continuum Quantum Monte Carlo methods used in nuclear physics. These methods are similar to those used in condensed matter and electronic structure but naturally include spin-isospin, tensor, spin-orbit, and three-body interactions. We present a variety of results including the low-lying spectra of light nuclei, nuclear form factors, and transition matrix elements. We also describe low-energy scattering techniques, studies of the electroweak response of nuclei relevant in electron and neutrino scattering, and the properties of dense nucleonic matter as found in neutron stars. A coherent picture of nuclear structure and dynamics emerges based upon rather simple but realistic interactions and currents.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗