Sigma term and strangeness content of octet baryons

By using lattice QCD computations we determine the sigma terms and strangeness content of all octet baryons by means of an application of the Hellmann-Feynman theorem. In addition to polynomial and rational expressions for the quark mass dependence of octet members, we use SU(3) covariant baryon chiral perturbation theory to perform the extrapolation to the physical up and down quark masses. Our N_f=2+1 lattice ensembles include pion masses down to about 190 MeV in large volumes (M_\pi L > 4), and three values of the lattice spacing. Our main results are the nucleon sigma term \sigma_{\pi N} = 39(4)(^{+18}_{-7}) and the strangeness content y_{N} = 0.20(7)(^{+13}_{-17}). Under the assumption of validity of covariant baryon \chi PT in our range of masses one finds y_{N} = 0.276(77)(^{+90}_{-62}).

Note:

LaTeX. 15 pages, 5 figures. Text and results corrected according to Erratum [Phys. Rev. D 93, 039905(E) (2016)]

12.38.Gc
12.39.Fe
14.20.Dh
baryon: octet
strangeness: parton
pi nucleon: sigma term
baryon: chiral
perturbation theory: chiral
symmetry: SU(3)
quark: mass

References(37)

Figures(6)

A New Determination of the pi N Sigma Term Using Hyperbolic Dispersion Relations in the (nu**2, t) Plane

R. Koch
(
- Karlsruhe U.
)

- Z.Phys.C 15 (1982) 161-168,
- Karlsruhe Univ. - TKP 82-09 (82,REC.JUN.) 26p,
- Z. Phys. C15 ( 1982) 161-168 and Karlsruhe Univ. - TKP 82-09 (82,REC.JUN.) 26p
•
DOI:
- 10.1007/BF01571999

Sigma term update

- Phys.Lett.B 253 (1991) 252-259
•
DOI:
- 10.1016/0370-2693(91)91393-A

The Pion nucleon Sigma term is definitely large: Results from a G.W.U. analysis of pi nucleon scattering data

M.M. Pavan
(
- Regina U. and
- TRIUMF
)
,
I.I. Strakovsky
(
- George Washington U.
)
,
R.L. Workman
(
- George Washington U.
)
,
R.A. Arndt
(
- George Washington U.
)

- PiN Newslett. 16 (2002) 110-115
•
e-Print:
- hep-ph/0111066

Hadronic Uncertainties in the Elastic Scattering of Supersymmetric Dark Matter

- Phys.Rev.D 77 (2008) 065026
•
e-Print:
- 0801.3656
•
DOI:
- 10.1103/PhysRevD.77.065026

Dark matter, the CMSSM and lattice QCD

Joel Giedt
(
- Rensselaer Poly.
)
,
Anthony W. Thomas
(
- Rensselaer Poly. and
- Jefferson Lab and
- William-Mary Coll.
)
,
Ross D. Young
(
- Argonne, PHY
)

- Phys.Rev.Lett. 103 (2009) 201802
•
e-Print:
- 0907.4177
•
DOI:
- 10.1103/PhysRevLett.103.201802

Is there still any $T_c$ mystery in lattice QCD? Results with physical masses in the continuum limit III

Wuppertal-Budapest

Collaboration

•

Szabolcs Borsanyi
(
- Wuppertal U.
)

et al.

- JHEP 09 (2010) 073
•
e-Print:
- 1005.3508
•
DOI:
- 10.1007/JHEP09(2010)073

Sigma term and strangeness content of the nucleon

S. Durr
(
- Wuppertal U. and
- Julich, Forschungszentrum
)
,
Z. Fodor
(
- Wuppertal U. and
- Julich, Forschungszentrum and
- Eotvos U.
)
,
J. Frison
(
- Marseille, CPT
)
,
T. Hemmert
(
- Regensburg U.
)
,
C. Hoelbling
(
- Wuppertal U.
)

et al.

- PoS LATTICE2010 (2010) 102
•
e-Print:
- 1012.1208
•
DOI:
- 10.22323/1.105.0102

Scaling study of dynamical smeared-link clover fermions

BMW

Collaboration

•

S. Durr
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

et al.

- Phys.Rev.D 79 (2009) 014501
•
e-Print:
- 0802.2706
•
DOI:
- 10.1103/PhysRevD.79.014501

Ab-Initio Determination of Light Hadron Masses

BMW

Collaboration

•

S. Durr
(
- NIC, Zeuthen and
- DESY, Zeuthen and
- Julich, Forschungszentrum
)

et al.

- Science 322 (2008) 1224-1227
•
e-Print:
- 0906.3599
•
DOI:
- 10.1126/science.1163233

Kaon physics: A Lattice perspective

Laurent Lellouch
(
- Marseille, CPT
)

- PoS LATTICE2008 (2009) 015
•
e-Print:
- 0902.4545
•
DOI:
- 10.22323/1.066.0015

Chiral Perturbation Theory to One Loop

J. Gasser
(
- Bern U.
)
,
H. Leutwyler
(
- CERN
)

- Annals Phys. 158 (1984) 142
•
DOI:
- 10.1016/0003-4916(84)90242-2

Phenomenological Lagrangians

Steven Weinberg
(
- Harvard U. and
- Harvard-Smithsonian Ctr. Astrophys.
)

- Physica A 96 (1979) 1-2, 327-340
•
DOI:
- 10.1016/0378-4371(79)90223-1

Nucleons with chiral loops

J. Gasser
(
- Bern U.
)
,
M.E. Sainio
(
- PSI, Villigen
)
,
A. Svarc
(
- Boskovic Inst., Zagreb and
- PSI, Villigen
)

- Nucl.Phys.B 307 (1988) 779-853
•
DOI:
- 10.1016/0550-3213(88)90108-3

Baryon chiral perturbation theory using a heavy fermion Lagrangian

- Phys.Lett.B 255 (1991) 558-562
•
DOI:
- 10.1016/0370-2693(91)90266-S

Chiral Expansion of Baryon Masses and σ-Terms

B. Borasoy
(
- Bonn U.
)
,
Ulf-G. Meissner
(
- Bonn U.
)

- Annals Phys. 254 (1997) 192-232
•
e-Print:
- hep-ph/9607432
•
DOI:
- 10.1006/aphy.1996.5630

SU(3) baryon chiral perturbation theory and long distance regularization

- Phys.Rev.D 59 (1999) 036002
•
e-Print:
- hep-ph/9804281
•
DOI:
- 10.1103/PhysRevD.59.036002

Sigma terms in heavy baryon chiral perturbation theory revisited

B. Borasoy
(
- Massachusetts U., Amherst
)

- Eur.Phys.J.C 8 (1999) 121-130
•
e-Print:
- hep-ph/9807453
•
DOI:
- 10.1007/s100520050451

Convergence of chiral effective field theory

Ross Daniel Young
(
- Adelaide U.
)
,
Derek Bruce Leinweber
(
- Adelaide U.
)
,
Anthony William Thomas
(
- Adelaide U.
)

- Prog.Part.Nucl.Phys. 50 (2003) 399-417,
•
e-Print:
- hep-lat/0212031
•
DOI:
- 10.1016/S0146-6410(03)00034-6

Chiral perturbation theory and the first moments of the generalized parton distributions in a nucleon

Marina Dorati
(
- Pavia U. and
- INFN, Pavia and
- Munich, Tech. U.
)
,
Tobias A. Gail
(
- Munich, Tech. U.
)
,
Thomas R. Hemmert
(
- Munich, Tech. U.
)

- Nucl.Phys.A 798 (2008) 96-131
•
e-Print:
- nucl-th/0703073
•
DOI:
- 10.1016/j.nuclphysa.2007.10.012

Chiral Perturbation Theory and Baryon Properties

Veronique Bernard
(
- Louis Pasteur U., Strasbourg I
)

- Prog.Part.Nucl.Phys. 60 (2008) 82-160
•
e-Print:
- 0706.0312
•
DOI:
- 10.1016/j.ppnp.2007.07.001

Review of particle physics

K. Nakamura
(
- Tokyo U., IPMU and
- KEK, Tsukuba
)
,
K. Hagiwara
(
- KEK, Tsukuba
)
,
K. Hikasa
(
- Tohoku U.
)
,
H. Murayama
(
- LBL, Berkeley and
- UC, Berkeley and
- Tokyo U., IPMU
)
,
M. Tanabashi
(
- Nagoya U.
)

et al.

- J.Phys.G 37 (2010) 075021
•
DOI:
- 10.1088/0954-3899/37/7A/075021

Chiral quark model of nucleon spin flavor structure with SU(3) and axial U(1) breakings

T.P. Cheng
(
- Missouri U., St. Louis
)
,
Ling-Fong Li
(
- Carnegie Mellon U.
)

- Phys.Rev.D 57 (1998) 344-349
•
e-Print:
- hep-ph/9701248
•
DOI:
- 10.1103/PhysRevD.57.344

Rationale for UV-filtered clover fermions

- JHEP 11 (2006) 028
•
e-Print:
- hep-lat/0607006
•
DOI:
- 10.1088/1126-6708/2006/11/028

Non-perturbative improvement of nHYP smeared Wilson fermions

Roland Hoffmann
(
- Colorado U.
)
,
Anna Hasenfratz
(
- Colorado U.
)
,
Stefan Schaefer
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- PoS LATTICE2007 (2007) 104
•
e-Print:
- 0710.0471
•
DOI:
- 10.22323/1.042.0104

Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States

M. Luscher
(
- DESY
)

- Commun.Math.Phys. 104 (1986) 177,
- Commun. Math. Phys. 104 ( 1986) 177-206 and Hamburg Desy - DESY 85-144 (85,REC.FEB.86) 63p
•
DOI:
- 10.1007/BF01211589

1-25 of 37
1
2
25 / page