Two-Nucleon Bound States in Quenched Lattice QCD

Abstract

We address the issue of bound state in the two-nucleon system in lattice QCD. Our study is made in the quenched approximation at the lattice spacing of a = 0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. To distinguish a bound state from an attractive scattering state, we investigate the volume dependence of the energy difference between the ground state and the free two-nucleon state by changing the spatial extent of the lattice from 3.1 fm to 12.3 fm. A finite energy difference left in the infinite spatial volume limit leads us to the conclusion that the measured ground states for not only spin triplet but also singlet channels are bounded. Furthermore the existence of the bound state is confirmed by investigating the properties of the energy for the first excited state obtained by 2x2 diagonalization method. The scattering lengths for both channels are evaluated by applying the finite volume formula derived by Luscher to the energy of the first excited states.

34 pages, 28 figures

References in corpus (7)

• Nuclear Force from Lattice QCD
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Evidence for a Bound H-dibaryon from Lattice QCD
• Dependence of nuclear binding on hadronic mass variation
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Signatures of S-wave bound-state formation in finite volume
• I=2 Two-Pion Wave Function and Scattering Phase Shift

Cited by in corpus (41)

• Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Three-particle scattering amplitudes from a finite volume formalism
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Evidence for X(3872) from DD* scattering on the lattice
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Heavy Hadrons in Nuclear Matter
• Novel Six-Quark Hidden-Color Dibaryon States in QCD
• Life at the Interface of Particle Physics and String Theory
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Nuclear correlation functions in lattice QCD
• Towards grounding nuclear physics in QCD
• Quarkonium-Nucleus Bound States from Lattice QCD
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Lattice QCD and baryon-baryon interactions: HAL QCD method
• A variational study of two-nucleon systems with lattice QCD
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Two-Particle Elastic Scattering in a Finite Volume Including QED
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Strategies for an accurate determination of the X(3872) energy from QCD lattice simulations
• First results of baryon interactions from lattice QCD with physical masses (1) -- General overview and two-nucleon forces --
• Photodisintegration of a Bound State on the Torus
• Derivative Expansion of Wave Function Equivalent Potentials
• Small Bits of Cold Dense Matter
• Nuclear physics from lattice simulations
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Low-lying hypernuclei in the relativistic quark-gluon model
• Twelve-quark hypernuclei with A=4 in relativistic quark-gluon model
• Nucleon-Nucleon Interaction ib the Singlet State at Low Energy
• Nuclear Forces from Lattice Quantum Chromodynamics
• Experimental search for the bound state singlet deuteron in the radiative n-p capture
• Formal Developments for Lattice QCD with Applications to Hadronic Systems