Lambda-nucleon force from lattice QCD

Abstract

We study the $\Lambda$-nucleon ($\Lambda N$) force by using lattice QCD. The Bethe-Salpeter amplitude is calculated for the lowest scattering state of the $\Lambda N$ so as to obtain the $\Lambda N$ potential. The numerical calculation is twofold: (i) Full lattice QCD by using 2+1 flavor PACS-CS gauge configurations with, $\beta =1.9$, corresponding to the lattice spacing of $a=0.0907(13)$ fm, on a $32^3\times 64$ lattice. A set of parameter $({\kappa }_{ud},{\kappa }_s)=(0.13770,0.13640)$ is used, which corresponds to $m_{\pi }\approx 300$ MeV and $m_K\approx 594$ MeV. The spatial lattice volume corresponds to (2.86 fm)${}^3$. (ii) Quenched lattice QCD with $\beta =5.7$, the lattice spacing of $a=0.1416(9)$ fm, on the $32^3\times 48$ lattice. Two sets of hopping parameters $({\kappa }_{ud},{\kappa }_s)=(0.1665,0.1643),(0.1670,0.1643)$ are used. The spatial lattice volume is (4.5 fm)${}^3$. For the full QCD, we find that the $\Lambda p$ has a relatively strong (weak) repulsive core in the ${}^1{S}_0$ (${}^3{S}_1$) channel at short distance, while the potential has slight attractive region at medium distance. The lowest scattering energy in the finite lattice volume is calculated; Slightly negative values obtained in both spin channels. For the quenched QCD, we find that the results are qualitatively in agreement with those in the full QCD calculation.

7 pages, 4 figures, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, Virginia, USA

References in corpus (3)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Hyperon-nucleon force from lattice QCD
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics

Cited by in corpus (7)

• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• Extraction of Hadron Interactions above Inelastic Threshold in Lattice QCD
• Instructive discussion of an effective block algorithm for baryon-baryon correlators
• Baryon-baryon potentials in the flavor SU(3) limit from lattice QCD
• Nuclear Forces from Lattice QCD
• Central and tensor Lambda-nucleon potentials from lattice QCD