Pion-nucleon {sigma} term in lattice QCD

Journal Article · Mon May 01 04:00:00 EDT 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.51.5319· OSTI ID:44796

Fukugita, M ^[1]; Kuramashi, Y; Okawa, M ^[2]; Ukawa, A ^[3]

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1. Yukawa Institute, Kyoto University, Kyoto 606 (Japan)
2. National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305 (Japan)
3. Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)

We calculate both the connected and disconnected contributions to the {pi}-{ital N} {sigma} term in quenched lattice QCD with the Wilson quark action on a 12{sup 3}{times}20 lattice at {beta}=5.7 with the lattice spacing {ital a}{approx}0.14 fm. The latter is evaluated with the variant wall source method, previously applied successfully for {pi}-{pi} scattering lengths and the {eta}{prime} meson mass. We found the disconnected contribution to be about twice as large as the connected one. The value for the full {pi}-{ital N} {sigma} term {sigma}=40--60 MeV is consistent with the experimental estimates. The nucleon matrix element of the strange quark density {ital {bar s}s} is fairly large in our result.

• OSTI ID: 44796
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DENSITY
ETA PRIME-958 MESONS
LATTICE FIELD THEORY
MASS
MATRIX ELEMENTS
NUCLEONS
PION-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUARKS
SIGMA TERMS
STRANGE PARTICLES