Pi N sigma term, anti-s s in nucleon, and scalar form-factor: A Lattice study

Dong, S.J.; Lagae, J.F.; Liu, K.F.

doi:10.1103/PhysRevD.54.5496

Pi N sigma term, anti-s s in nucleon, and scalar form-factor: A Lattice study

Dec, 1995

7 pages

Published in:

Phys.Rev.D 54 (1996) 5496-5500

e-Print:

hep-ph/9602259 [hep-ph]

DOI:

10.1103/PhysRevD.54.5496

Report number:

UK-95-12

View in:

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Abstract:

We report on a lattice QCD calculation of the

\pi N \sigma

term, the scalar form factor, and

\langle N|\bar{s}s|N\rangle

. The disconnected insertion part of \sg is found to be

1.8 \pm 0.1

times larger than the connected insertion contribution. The

q~2

dependence of \sg(q~2) is about the same as

G_E(q~2)

of the proton so that \sg(2m_{\pi}~2) - \sg(0) = 6.6 \pm 0.6 MeV. The ratio y= \ss/\ud = 0.36 \pm 0.03. Both results favor a \sg \sim 53 MeV, slightly larger than our direct calculation of \sg = 49.7 \pm 2.6 MeV. We also compute

F_s

and

D_s

and find that the agreement with those from the octect baryon mass splittings crucially depends on the inclusion of the large disconnected insertion. Finally, we give our result for the

K N \sigma

term.

Note:

7 pages in Latex, 5 postscript figures

12.38.Gc
13.75.Gx
13.75.Jz
14.20.Dh
fermion: lattice field theory
gauge field theory: SU(3)
pi nucleon: sigma term
form factor: scalar
scalar: form factor
K nucleon: sigma term

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