Article

# Lattice effective field theory calculations for A = 3, 4, 6, 12 nuclei.

Institut für Kernphysik (IKP-3) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review Letters (Impact Factor: 7.73). 04/2010; 104(14):142501. DOI: 10.1103/PhysRevLett.104.142501 Source: arXiv

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**ABSTRACT:**The fermion bag approach is a new method to tackle fermion sign problems in lattice field theories. Using this approach it is possible to solve a class of sign problems that seem unsolvable by traditional methods. The new solutions emerge when partition functions are written in terms of fermion bags and bosonic worldlines. In these new variables it is possible to identify hidden pairing mechanisms which lead to the solutions. The new solutions allow us for the first time to use Monte Carlo methods to solve a variety of interesting lattice field theories, thus creating new opportunities for understanding strongly correlated fermion systems.European Physical Journal A 04/2013; 49(7). · 2.04 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We outline a general method for computing nuclear capture reactions on the lattice. The method consists of two major parts. In this study we detail the second part which consists of calculating an effective two-body capture reaction on the lattice at finite volume. We solve this problem by calculating the two-point Green's function using an infrared regulator and the capture amplitude to a two-body bound state. We demonstrate the details of this method by calculating on the lattice the leading M1 contribution to the radiative neutron capture on proton at low energies using pionless effective field theory. We find good agreement with exact continuum results. The approach we outline here can be used in a wide range of applications including few-body reactions in cold atomic systems and hadronic reactions in lattice quantum chromodynamics.Physical Review Letters 07/2013; 111(3):032502. · 7.73 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**An ab initio calculation of the ^{12}C elastic form factor and sum rules of longitudinal and transverse response functions measured in inclusive (e, e^{'}) scattering are reported, based on realistic nuclear potentials and electromagnetic currents. The longitudinal elastic form factor and sum rule are found to be in satisfactory agreement with available experimental data. A direct comparison between theory and experiment is difficult for the transverse sum rule. However, it is shown that the calculated transverse sum rule has large contributions from two-body currents, indicating that these mechanisms lead to a significant enhancement of the quasielastic transverse response. This fact may have implications for the anomaly observed in recent neutrino quasielastic charge-changing scattering experiments on ^{12}C.Physical Review Letters 08/2013; 111(9):092501. · 7.73 Impact Factor

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