EPJ Web of Conferences
Volume 3, 201019th International IUPAP Conference on Few-Body Problems in Physics
|Number of page(s)||8|
|Section||Strange and exotic systems|
|Published online||12 April 2010|
ΛN and Ξ N Interactions Studied with Lattice QCD
Department of Physics, Tohoku University,
a e-mail: email@example.com
We present our recent studies of Lambda-Nucleon (ΛN) as well as Cascade-Nucleon (ΞN) interactions by using lattice QCD. The equal-time Bethe-Salpeter (BS) amplitude of the lowest energy scattering state of baryon number B = 2 system (proton-Λ and proton-Ξ0) is calculated from lattice QCD. For the calculation of the ΛN potential, two diﬀerent types of gauge conﬁgurations are employed: (i) 2+1 ﬂavor full QCD conﬁgurations generated by the PACS-CS collaboration at β = 1.9 (a = 0.0907(13) fm) on a 323 × 64 lattice, whose spatial volume is (2.90 fm)3 . (ii) Quenched QCD conﬁgurations at β = 5.7 (a = 0.1416(9) fm) on a 323 × 48 lattice, whose spatial volume is (4.5 fm)3 . The spin-singlet central potential is calculated from the BS wave function for the spin J = 0 state, whereas the spin-triplet central potential as well as the tensor potential are deduced simultaneously from the BS wave function for the spin J = 1 state by dividing it into the S-wave and the D-wave components. For the calculation of the Ξ N potential, we employ quenched QCD conﬁgurations, at β = 5.7 (a = 0.1416(9) fm) on a 323 × 32 lattice, whose spatial volume is (4.5 fm)3 . The eﬀective central potential in the spin triplet channel as well as the central potential in the spin singlet channel are calculated for the ΞN . The scattering lengths are obtained from the asymptotic behavior of the BS wave function by using the Lüscher’s formula.
© Owned by the authors, published by EDP Sciences, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.