English

Lambda-nucleon force from lattice QCD

High Energy Physics - Lattice 2010-01-21 v1

Abstract

We study the Λ\Lambda-nucleon (ΛN\Lambda N) force by using lattice QCD. The Bethe-Salpeter amplitude is calculated for the lowest scattering state of the ΛN\Lambda N so as to obtain the ΛN\Lambda N potential. The numerical calculation is twofold: (i) Full lattice QCD by using 2+1 flavor PACS-CS gauge configurations with, β=1.9\beta=1.9, corresponding to the lattice spacing of a=0.0907(13)a=0.0907(13) fm, on a 323×6432^3\times 64 lattice. A set of parameter (κud,κs)=(0.13770,0.13640)(\kappa_{ud},\kappa_s)=(0.13770,0.13640) is used, which corresponds to mπ300m_\pi\approx 300 MeV and mK594m_K\approx 594 MeV. The spatial lattice volume corresponds to (2.86 fm)3^3. (ii) Quenched lattice QCD with β=5.7\beta=5.7, the lattice spacing of a=0.1416(9)a=0.1416(9) fm, on the 323×4832^3\times48 lattice. Two sets of hopping parameters (κud,κs)=(0.1665,0.1643),(0.1670,0.1643)(\kappa_{ud},\kappa_s)=(0.1665,0.1643),(0.1670,0.1643) are used. The spatial lattice volume is (4.5 fm)3^3. For the full QCD, we find that the Λp\Lambda p has a relatively strong (weak) repulsive core in the 1S0^1S_0 (3S1^3S_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.

Keywords

Cite

@article{arxiv.0902.1251,
  title  = {Lambda-nucleon force from lattice QCD},
  author = {H. Nemura and N. Ishii and S. Aoki and T. Hatsuda and for PACS-CS Collaboration},
  journal= {arXiv preprint arXiv:0902.1251},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T12:08:56.479Z