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The $^6$He beta decay and $^7$Be electron capture processes are studied using variational Monte Carlo wave functions, derived from a realistic Hamiltonian consisting of the Argonne $v_{18}$ two-nucleon and Urbana-IX three-nucleon…

Nuclear Theory · Physics 2008-11-26 R. Schiavilla , R. B. Wiringa

Green's function Monte Carlo calculations of magnetic dipole, electric quadrupole, Fermi, and Gamow-Teller transition matrix elements are reported for A=6,7 nuclei. The matrix elements are extrapolated from mixed estimates that bracket the…

Nuclear Theory · Physics 2008-11-26 Muslema Pervin , Steven C. Pieper , R. B. Wiringa

Green's function Monte Carlo calculations of magnetic moments and M1 transitions including two-body meson-exchange current (MEC) contributions are reported for A<=7 nuclei. The realistic Argonne v18 two-nucleon and Illinois-2 three-nucleon…

Nuclear Theory · Physics 2013-05-22 L. E. Marcucci , Muslema Pervin , Steven C. Pieper , R. Schiavilla , R. B. Wiringa

An ab initio quantum Monte Carlo method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A \leq 12$. As a first application of the method, we perform a calculation of the rate in $^4$He in a…

Nuclear Theory · Physics 2019-09-18 A. Lovato , N. Rocco , R. Schiavilla

We report Quantum Monte Carlo calculations of weak transitions in $A\leq 10$ nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. We find that the contribution from…

Nuclear Theory · Physics 2020-08-26 G. B. King , L. Andreoli , S. Pastore , M. Piarulli , R. Schiavilla , R. B. Wiringa , J. Carlson , S. Gandolfi

Quantum Monte Carlo calculations of electromagnetic moments and transitions are reported for A <= 9 nuclei. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon potentials are used to generate the nuclear wave functions.…

Nuclear Theory · Physics 2013-05-22 S. Pastore , Steven C. Pieper , R. Schiavilla , R. B. Wiringa

We present Quantum Monte Carlo calculations of magnetic moments and M1 transitions in $A\le 9$ nuclei which take into account contributions of two-body electromagnetic currents. The Hamiltonian utilized to generate the nuclear wave…

Nuclear Theory · Physics 2012-08-31 S. Pastore , Steven C. Pieper , R. Schiavilla , R. B. Wiringa

Variational Monte Carlo and Green's function Monte Carlo are powerful tools for calculations of properties of light nuclei using realistic two-nucleon and three-nucleon potentials. Recently the GFMC method has been extended to multiple…

Nuclear Theory · Physics 2009-11-10 Steven C. Pieper

For the first time, we approach in this work the problem of the renormalization of the Gamow-Teller decay operator for nuclear shell-model calculations by way of many-body perturbation theory, starting from a nuclear Hamiltonian and…

Nuclear Theory · Physics 2023-12-25 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , Z. H. Cheng , Y. Z. Ma , F. R. Xu , M. Viviani

We report quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A \leq 7 using a realistic Hamiltonian containing the Argonne v18 two-nucleon and Urbana IX three-nucleon potentials. A detailed description…

Nuclear Theory · Physics 2008-11-26 B. S. Pudliner , V. R. Pandharipande , J. Carlson , Steven C. Pieper , R. B. Wiringa

Experiments using intermediate- to high-energy radioactive nuclear beams present numerous findings. Extracting important properties of physical observables relies on a firm theoretical analysis. Though Glauber theory is believed to work…

Nuclear Theory · Physics 2026-04-23 W. Horiuchi , Y. Suzuki , R. B. Wiringa

We compute radiative corrections to the superallowed $\beta$ decay of $^{10}{\rm C}$ in an effective field theory approach using nuclear matrix elements obtained from quantum Monte Carlo calculations. These corrections are an important…

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field;…

Nuclear Theory · Physics 2008-02-03 S. E. Koonin

The longstanding quenching problem of Gamow-Teller (GT) strength in nuclear $\beta$-decay is attributed to missing contributions in the transition operator and/or incomplete nuclear correlations in the many-body wavefunction. Recent studies…

Nuclear Theory · Physics 2026-04-02 Hao Zhou , Long-Jun Wang , Yang Sun

A variational Monte Carlo method is used to generate sets of orthogonal trial functions, Psi_T(J^pi,T), for given quantum numbers in various light p-shell nuclei. These Psi_T are then used as input to Green's function Monte Carlo…

Nuclear Theory · Physics 2008-11-26 Steven C. Pieper , R. B. Wiringa , J. Carlson

We present an \textit{ab initio} calculation of nuclear $\beta$ decay within the framework of nuclear lattice effective field theory (NLEFT), employing auxiliary-field quantum Monte Carlo methods to solve the nuclear many-body problem. Our…

Nuclear Theory · Physics 2026-01-06 Teng Wang , Xu Feng , Bing-Nan Lu

The application of Glauber theory has been playing an increasingly important role with the study of unstable or exotic nuclei. Its adaptation to medium and high-energy nucleus-nucleus collisions is severely limited because one has to…

Nuclear Theory · Physics 2026-03-18 W. Horiuchi , Y. Suzuki , R. B. Wiringa

We report quantum Monte Carlo calculations of electromagnetic transitions in 8Be. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon potentials are used to generate the ground state and nine excited states, with energies…

Nuclear Theory · Physics 2015-06-19 S. Pastore , R. B. Wiringa , Steven C. Pieper , R. Schiavilla

The beta-decay process of the $^6$He halo nucleus into the alpha+d continuum is studied in a three-body model. The $^6$He nucleus is described as an alpha+n+n system in hyperspherical coordinates on a Lagrange mesh. The convergence of the…

Nuclear Theory · Physics 2014-11-18 E. M. Tursunov , D. Baye , P. Descouvemont

The Short-Time approximation is a method introduced to evaluate electroweak nuclear response for systems with $A\geq12$, extending the reach of first-principle many-body Quantum Monte Carlo calculations. Using realistic two- and three-body…

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