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Related papers: The triton in a finite volume

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We use an effective field theory (EFT) which contains only short-range interactions to study the dependence of a variety of three-nucleon observables on the pion mass. The pion-mass dependence of input quantities in our ``pionless'' EFT is…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , D. R. Phillips , L. Platter

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

The quark mass dependence of hadrons is an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) in a finite box to next-to-leading order in an effective field theory…

High Energy Physics - Phenomenology · Physics 2016-01-06 M. Jansen , H. -W. Hammer , Yu Jia

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction…

Nuclear Theory · Physics 2009-07-22 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

The axial charge of the triton is investigated using lattice quantum chromodynamics (QCD). Extending previous work at heavier quark masses, calculations are performed using three ensembles of gauge field configurations generated with quark…

High Energy Physics - Lattice · Physics 2021-05-05 Assumpta Parreño , Phiala E. Shanahan , Michael L. Wagman , Frank Winter , Emmanuel Chang , William Detmold , Marc Illa

We describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists…

Nuclear Theory · Physics 2016-05-25 Christopher Körber , Thomas Luu

The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne $\pi$ and $\rho$ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic…

Nuclear Theory · Physics 2008-11-26 A. Stadler , J. Adam , H. Henning , P. U. Sauer

We explore the lattice spacing dependence in Nuclear Lattice Effective Field Theory for few-body systems up to next-to-next-to leading order in chiral effective field theory including all isospin breaking and electromagnetic effects, the…

Nuclear Theory · Physics 2018-08-15 Nico Klein , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

First results for the triton binding energy obtained from the relativistic spectator or Gross equation are reported. The Dirac structure of the nucleons is taken into account. Numerical results are presented for a family of realistic OBE…

Nuclear Theory · Physics 2009-10-30 Alfred Stadler , Franz Gross

We investigate the sensitivity of the three-nucleon system to changes in the neutron-neutron scattering length to next-to-leading order in the pionless effective field theory, focusing on the the triton-3He binding energy difference and…

Nuclear Theory · Physics 2015-06-19 H. W. Hammer , Sebastian König

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron…

Nuclear Theory · Physics 2019-08-14 Young-Ho Song , Rimantas Lazauskas , U. van Kolck

We study the triton and three-nucleon force at lowest chiral order in pionless effective field theory both in the Hamiltonian and Euclidean nuclear lattice formalism. In the case of the Euclidean lattice formalism, we derive the exact…

Nuclear Theory · Physics 2009-11-11 B. Borasoy , H. Krebs , D. Lee , U. -G. Meißner

A momentum-dependent formulation based on a stationary spin-0 and isospin-1 dibaryon field is proposed to improve convergence of chiral effective field theory in the $\cs{1}{0}$ channel of $NN$ scattering. Although the two-parameter…

Nuclear Theory · Physics 2022-05-16 Rui Peng , Songlin Lyu , Sebastian König , Bingwei Long

Chiral extrapolation of the $X(3872)$ binding energy is investigated using the modified Weinberg formulation of chiral effective field theory for the $D \bar{D}^*$ scattering. Given its explicit renormalisability, this approach is…

High Energy Physics - Phenomenology · Physics 2015-12-16 V. Baru , E. Epelbaum , A. A. Filin , J. Gegelia , A. V. Nefediev

We employ a chiral effective field theory-based approach to connect $DD^*$ scattering observables at the physical and variable pion masses accessible in lattice QCD simulations. We incorporate all relevant scales associated with three-body…

High Energy Physics - Phenomenology · Physics 2025-01-14 Michael Abolnikov , Vadim Baru , Evgeny Epelbaum , Arseniy A. Filin , Christoph Hanhart , Lu Meng

The physics of pions within a finite volume is explored using lattice regularized chiral perturbation theory. This regularization scheme permits a straightforward computational approach to be used in place of analytical continuum…

High Energy Physics - Lattice · Physics 2009-11-10 B. Borasoy , R. Lewis

A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium…

Nuclear Theory · Physics 2015-06-03 Johannes Kirscher

In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times…

Nuclear Theory · Physics 2013-05-30 Joan Soto , Jaume Tarrús

We consider the quark-meson-model in a finite three-dimensional volume using the Schwinger proper-time renormalization group. We derive and solve the flow equations for finite volume in local potential approximation. In order to break…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Braun , B. Klein , H. -J. Pirner

A systematic connection between QCD and nuclear few- and many-body properties in the form of the Effective Field Theory "without pions" is applied to $A\le 6$ nuclei to determine its range of applicability. We present results at…

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