New Sum Rule Determination of the Nucleon Mass - INSPIRE

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New Sum Rule Determination of the Nucleon Mass

N.F. Nasrallah
(
- Lebanese U., Tripoli and
- American U. of Beirut
)
,
K. Schilcher
(
- American U. of Beirut and
- Mainz U., Inst. Phys.
)

Oct, 2010

7 pages

e-Print:

1010.2869 [hep-ph]

Report number:

MZ-TH-10-37

View in:

ADS Abstract Service

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Abstract: (arXiv)

A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1/2+ and 1/2- continuum. This approach avoids the arbitrariness and other drawbacks attached to the Borel kernel used in previous sum rules calculations. Our method yields stable results for the nucleon mass and coupling for standard values of the condensates. The prediction of the nucleon mass m_{N}=(0.945 \pm .045) GeV is in good agreement with experiment.

nucleon: mass: calculated
sum rule
quantum chromodynamics
quark: condensation

References(21)

Figures(0)

QCD and Resonance Physics. Theoretical Foundations

- Nucl.Phys.B 147 (1979) 385-447
•
DOI:
- 10.1016/0550-3213(79)90022-1

QCD and Resonance Physics: Applications

- Nucl.Phys.B 147 (1979) 448-518
•
DOI:
- 10.1016/0550-3213(79)90023-3

Calculation of Baryon Masses in Quantum Chromodynamics

B.L. Ioffe
(
- Moscow, ITEP
)

- Nucl.Phys.B 188 (1981) 317-341,
- Nucl.Phys.B 191 (1981) 591-592 (erratum)
•
DOI:
- 10.1016/0550-3213(81)90259-5

Calculation of Baryon Masses in Quantum Chromodynamics

B.L. Ioffe
(
- Moscow, ITEP
)

- Nucl.Phys.B 188 (1981) 317-341,
- Nucl.Phys.B 191 (1981) 591-592 (erratum)
•
DOI:
- 10.1016/0550-3213(81)90259-5

Nucleon Magnetic Moments and Magnetic Properties of Vacuum in QCD

B.L. Ioffe
(
- Moscow, ITEP
)
,
Andrei V. Smilga
(
- Moscow, ITEP
)

- Nucl.Phys.B 232 (1984) 109-142
•
DOI:
- 10.1016/0550-3213(84)90364-X

{QCD} Sum Rules for 'Baryonic Currents'

- Phys.Lett.B 102 (1981) 175-179
•
DOI:
- 10.1016/0370-2693(81)91057-1

Baryon Sum Rules and Chiral Symmetry Breaking

- Nucl.Phys.B 197 (1982) 55-75
•
DOI:
- 10.1016/0550-3213(82)90154-7

Radiative Corrections for Baryonic Correlators

M. Jamin
(
- Heidelberg U.
)

- Z.Phys.C 37 (1988) 635
•
DOI:
- 10.1007/BF01549725

Baryonic sum rules in the next-to-leading order in alpha-s

A.A. Ovchinnikov
(
- Moscow, INR and
- Tbilisi State U.
)
,
A.A. Pivovarov
(
- Moscow, INR and
- Tbilisi State U.
)
,
L.R. Surguladze
(
- Moscow, INR and
- Tbilisi State U.
)

- Int.J.Mod.Phys.A 6 (1991) 2025-2034
•
DOI:
- 10.1142/S0217751X91001015

Nucleon QCD sum rules with the radiative corrections

V.A. Sadovnikova
(
- St. Petersburg, INP
)
,
E.G. Drukarev
(
- St. Petersburg, INP
)
,
M.G. Ryskin
(
- St. Petersburg, INP
)

- Phys.Rev.D 72 (2005) 114015
•
e-Print:
- hep-ph/0508240
•
DOI:
- 10.1103/PhysRevD.72.114015

Anomalous dimensions of octet baryonic currents in two loop approximation

A.A. Pivovarov
(
- Moscow, INR
)
,
L.R. Surguladze
(
- Tbilisi State U.
)

- Nucl.Phys.B 360 (1991) 97-108
•
DOI:
- 10.1016/0550-3213(91)90436-2

{QCD} Nonperturbative Contribution to the Axial Form-factor in Radiative Pion Decay

- Phys.Lett.B 113 (1982) 61-64
•
DOI:
- 10.1016/0370-2693(82)90109-5

Review of Particle Physics

et al.

- Phys.Lett.B 667 (2008) 1-1340
•
DOI:
- 10.1016/j.physletb.2008.07.018

BARYON MASSES AND CHIRAL SYMMETRY BREAKING

- Nucl.Phys.B 214 (1983) 285-298,
- Nucl. Phys. B214 ( 1983) 285-298
•
DOI:
- 10.1016/0550-3213(83)90663-6

The Use of Finite Energy Sum Rules for the Description of the Hadronic Properties of QCD

- Z.Phys.C 19 (1983) 301
•
DOI:
- 10.1007/BF01577186

Reanalysis of QCD sum rules for nucleon with perturbative correction

A.G. Oganesian
(
- Moscow, ITEP
)

e-Print:
- hep-ph/0308289

Chirality and reliability of baryon QCD sum rules

Xue-min Jin
(
- MIT, LNS
)
,
Jian Tang
(
- MIT, LNS
)

- Phys.Rev.D 56 (1997) 515-518
•
e-Print:
- hep-ph/9701230
•
DOI:
- 10.1103/PhysRevD.56.515

Up and down quark masses from Finite Energy QCD sum rules to five loops

C.A. Dominguez
(
- Cape Town U.
)
,
N.F. Nasrallah
(
- Lebanese U., Tripoli
)
,
R.H. Rontsch
(
- Cape Town U.
)
,
K. Schilcher
(
- Mainz U., Inst. Phys.
)

- Phys.Rev.D 79 (2009) 014009
•
e-Print:
- 0806.0467
•
DOI:
- 10.1103/PhysRevD.79.014009

Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation

J. Bordes
(
- Valencia U. and
- Valencia U., IFIC
)
,
C.A. Dominguez
(
- Cape Town U. and
- Stellenbosch U.
)
,
P. Moodley
(
- Cape Town U.
)
,
J. Penarrocha
(
- Valencia U. and
- Valencia U., IFIC
)
,
K. Schilcher
(
- Mainz U., Inst. Phys.
)

- JHEP 05 (2010) 064
•
e-Print:
- 1003.3358
•
DOI:
- 10.1007/JHEP05(2010)064

Determination of Baryon and Baryonic Resonance Masses from QCD Sum Rules. 1. Nonstrange Baryons

V.M. Belyaev
(
- Moscow, ITEP
)
,
B.L. Ioffe
(
- Moscow, ITEP
)

- Sov.Phys.JETP 56 (1982) 493-501,
- Zh.Eksp.Teor.Fiz. 83 (1982) 876-891

$\Alpha_s$ Determination from $\Tau$ Decays: Theoretical Status

Antonio Pich
(
- Valencia U. and
- Valencia U., IFIC
)

- Acta Phys.Polon.Supp. 3 (2010) 165-170
•
e-Print:
- 1001.0389