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Related papers: Finite volume effects in low-energy neutron-deuter…

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We discuss lattice simulations of the ground state of dilute neutron matter at next-to-leading order in chiral effective field theory. In a previous paper the coefficients of the next-to-leading-order lattice action were determined by…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

A proposal by L\"uscher enables one to compute the scattering phases of elastic two-body systems from the energy levels of the lattice Hamiltonian in a finite volume. In this work we generalize the formalism to S--, P-- and D--wave meson…

High Energy Physics - Lattice · Physics 2013-05-30 M. Göckeler , R. Horsley , M. Lage , U. -G. Meissner , P. E. L. Rakow , A. Rusetsky , G. Schierholz , J. M. Zanotti

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate non-perturbatively Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

We report on results of the effective theory method applied to neutron-deuteron scattering. We extend previous results in the $J=3/2$ channel to non-zero energies and find very good agreement with experiment without any parameter fitting.

Nuclear Theory · Physics 2010-04-06 P. F. Bedaque , H. -W. Hammer , U. van Kolck

The S wave pion deuteron scattering length is presented at NLO in the Effective Field Theory formulation of the two nucleon system with perturbative pions. At this order, this observable is determined by the iso-scalar S wave pion nucleon…

Nuclear Theory · Physics 2007-05-23 Bugra Borasoy , Harald W. Griesshammer

Lattice dynamics play a crucial role in understanding the physical mechanisms of cutting-edge energy materials. Many excellent energy materials have complex multiple-sublattice structures, with intricate lattice dynamics, and the underlying…

Materials Science · Physics 2025-05-12 Qingyong Ren , Jianli Wang , Bing Li , Jie Ma , Xin Tong

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^+)$ and $0(1^-)$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq…

High Energy Physics - Lattice · Physics 2025-02-12 Pan-Pan Shi , Feng-Kun Guo , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Hanyang Xing

The scattering lengths and effective ranges that describe low-energy nucleon-nucleon scattering are calculated in the limit of SU(3)-flavor symmetry at the physical strange-quark mass with Lattice Quantum Chromodynamics. The calculations…

High Energy Physics - Lattice · Physics 2013-08-28 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , P. Junnarkar , H. W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

We report an ongoing analysis of nucleon-nucleon scattering based on finite-volume spectroscopy. The calculation is performed using the distillation method on eight lattice ensembles at the SU(3)-symmetric point with $m_\pi=m_K\approx 420$…

High Energy Physics - Lattice · Physics 2022-12-20 Jeremy R. Green , Andrew D. Hanlon , Parikshit M. Junnarkar , Hartmut Wittig

The energy spectra of two nucleons in a cubic volume provide access to the two phase shifts and one mixing angle that define the S-matrix in the 3S1-3D1 coupled channels containing the deuteron. With the aid of recently derived energy…

High Energy Physics - Lattice · Physics 2013-12-16 Raul A. Briceno , Zohreh Davoudi , Thomas Luu , Martin J. Savage

An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two- and three-body…

Nuclear Theory · Physics 2015-12-09 Johannes Kirscher , Nir Barnea , Doron Gazit , Francesco Pederiva , Ubirajara van Kolck

Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

Nuclear Theory · Physics 2011-05-20 Johannes Kirscher

A calculation of deuteron Compton scattering using non-relativistic diagrammatic perturbation theory is presented, with the primary motivation of investigating the feasibility of determining the neutron polarizabilities from this type of…

Nuclear Theory · Physics 2007-05-23 Jonathan Karakowski , Gerald A. Miller

The presence of long-range interactions violates a condition necessary to relate the energy of two particles in a finite volume to their S-matrix elements in the manner of Luscher. While in infinite volume, QED contributions to low-energy…

High Energy Physics - Lattice · Physics 2014-11-05 Silas R. Beane , Martin J. Savage

The understanding of few-nucleon systems at low energies is essential, e.g. for accurate predictions of element abundances in big-bang and stellar fusion. Novel effective field theories, taking only nucleons, or nucleons and pions as…

Nuclear Experiment · Physics 2009-11-10 B. van den Brandt , H. W. Griesshammer , P. Hautle , J. Kohlbrecher , J. A. Konter , O. Zimmer

We derive the finite-volume correction to the binding energy of an N-particle quantum bound state in a cubic periodic volume. Our results are applicable to bound states with arbitrary composition and total angular momentum, and in any…

High Energy Physics - Lattice · Physics 2018-02-02 Sebastian König , Dean Lee

In lattice quantum field theories with topological sectors, simulations at fine lattice spacings --- with typical algorithms --- tend to freeze topologically. In such cases, specific topological finite size effects have to be taken into…

High Energy Physics - Lattice · Physics 2015-10-30 Arthur Dromard , Wolfgang Bietenholz , Urs Gerber , Héctor Mejía-Díaz , Marc Wagner

Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses would start a new age of ab initio predictions in nuclear physics. Performed on a finite grid, such calculations demand extrapolation of their…

Nuclear Theory · Physics 2022-08-17 Roee Yaron , Betzalel Bazak , Martin Schäfer , Nir Barnea

A new computational method for solving the nucleon-deuteron breakup scattering problem has been applied to study the elastic neutron- and proton-deuteron scattering on the basis of the configuration-space Faddeev-Noyes-Noble-Merkuriev…

Nuclear Theory · Physics 2010-06-10 V. M. Suslov , M. A. Braun , I. N. Filikhin , B. Vlahovic , I. Slaus
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