A Consistent derivation of the quark - anti-quark and three quark potentials in a Wilson loop context

Brambilla, N.; Consoli, P.; Prosperi, G.M.

doi:10.1103/PhysRevD.50.5878

A Consistent derivation of the quark - anti-quark and three quark potentials in a Wilson loop context

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
P. Consoli
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

Dec, 1993

33 pages

Published in:

Phys.Rev.D 50 (1994) 5878-5892

e-Print:

hep-th/9401051 [hep-th]

DOI:

10.1103/PhysRevD.50.5878

Report number:

IFUM-452-FT

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Abstract: (desy)

In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context. This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. In the

q\overline{q}

case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. In the

3q

case we find a spin dependent potential identical to that already derived in the literature from the ad hoc and non correct assumption of scalar confinement. Furthermore we obtain the correct form of the spin independent potential up to the

1/m~2

order.

quark antiquark: potential
potential: (3quark)
Wilson loop
flux tube
spin

References(29)

Figures(0)

Bound states of quarks

- Phys.Rept. 200 (1991) 127-240
•
DOI:
- 10.1016/0370-1573(91)90001-3

QCD: Relativistic flux tubes and potential models

Collin Olson
(
- Wisconsin U., Madison
)
,
M.G. Olsson
(
- Wisconsin U., Madison
)
,
Ken Williams
(
- Wisconsin U., Madison
)

- Phys.Rev.D 45 (1992) 4307-4311
•
DOI:
- 10.1103/PhysRevD.45.4307

Flux tube model, quark - anti-quark potential and Bethe-Salpeter kernel

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Phys.Rev.D 47 (1993) 2107-2112
•
DOI:
- 10.1103/PhysRevD.47.2107

QCD and the relativistic flux tube with fermionic ends

- Phys.Rev.D 48 (1993) 417-421
•
DOI:
- 10.1103/PhysRevD.48.417

The Nonrelativistic three-body problem for baryons

J.M. Richard
(
- CERN and
- LPSC, Grenoble
)

- Phys.Rept. 212 (1992) 1-76
•
DOI:
- 10.1016/0370-1573(92)90078-E

On a Systematic Derivation of the Quark - Anti-quark Potential

A. Barchielli
(
- Milan U. and
- INFN, Milan
)
,
E. Montaldi
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Nucl.Phys.B 296 (1988) 625,
- Nucl.Phys.B 303 (1988) 752 (erratum)
•
DOI:
- 10.1016/0550-3213(88)90036-3

Relativistic Corrections to the Quark - anti-Quark Potential and the Quarkonium Spectrum

A. Barchielli
(
- Milan U. and
- INFN, Milan
)
,
N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Nuovo Cim.A 103 (1990) 59
•
DOI:
- 10.1007/BF02902620

Spin Dependent Forces in QCD

E. Eichten
(
- Harvard U.
)
,
F. Feinberg
(
- Rutgers U., Piscataway
)

- Phys.Rev.D 23 (1981) 2724
•
DOI:
- 10.1103/PhysRevD.23.2724

Linearly Rising Quark Potential and Baryon Spectrum

Dieter Gromes
(
- Heidelberg U.
)
,
Ion Olimpiu Stamatescu
(
- Heidelberg U.
)

- Nucl.Phys.B 112 (1976) 213-232
•
DOI:
- 10.1016/0550-3213(76)90531-9

On Composite Hadrons in Nonabelian Lattice Gauge Theories

Hans Gunter Dosch
(
- Heidelberg U.
)
,
V.F. Muller
(
- Kaiserslautern U.
)

- Nucl.Phys.B 116 (1976) 470-490
•
DOI:
- 10.1016/0550-3213(76)90359-X

Calculation of the Baryon Spectrum with a Linear Hamiltonian

R.E. Cutkosky
(
- Carnegie Mellon U.
)
,
R.E. Hendrick
(
- Carnegie Mellon U.
)

- Phys.Rev.D 16 (1977) 793
•
DOI:
- 10.1103/PhysRevD.16.793

Baryon Spectrum in a Linear String Model

R.E. Cutkosky
(
- Carnegie Mellon U.
)
,
R.E. Hendrick
(
- Carnegie Mellon U.
)

- Phys.Rev.D 16 (1977) 786
•
DOI:
- 10.1103/PhysRevD.16.786

A Quark Model for Baryons Based on Quantum Chromodynamics

J. Carlson
(
- Illinois U., Urbana
)
,
John B. Kogut
(
- Illinois U., Urbana
)
,
V.R. Pandharipande
(
- Illinois U., Urbana
)

- Phys.Rev.D 27 (1983) 233,
- Phys. Rev. D27 ( 1983) 233-243 and Illinois Univ. Urbana - ILL-(TH)-82-23 (82,REC.AUG.) 41p
•
DOI:
- 10.1103/PhysRevD.27.233

Hadron Spectroscopy in a Flux Tube Quark Model

J. Carlson
(
- Illinois U., Urbana
)
,
J.B. Kogut
(
- Illinois U., Urbana
)
,
V.R. Pandharipande
(
- Illinois U., Urbana
)

- Phys.Rev.D 28 (1983) 2807
•
DOI:
- 10.1103/PhysRevD.28.2807

A Flux Tube Model for Hadrons

Nathan Isgur
(
- Oxford U.
)
,
Jack E. Paton
(
- Oxford U.
)

- Phys.Lett.B 124 (1983) 247-251
•
DOI:
- 10.1016/0370-2693(83)91445-4

P Wave Baryons in the Quark Model

Nathan Isgur
(
- Toronto U.
)
,
Gabriel Karl
(
- Guelph U.
)

- Phys.Rev.D 18 (1978) 4187
•
DOI:
- 10.1103/PhysRevD.18.4187

Baryons in a relativized quark model with chromodynamics

Simon Capstick
(
- Toronto U.
)
,
Nathan Isgur
(
- Toronto U.
)

- Phys.Rev.D 34 (1986) 9, 2809-2835
•
DOI:
- 10.1103/physrevd.34.2809

Spin-orbit forces in P-wave baryons from a three-quark flux-tube potential

I.J. Ford
(
- Oxford U.
)

- J.Phys.G 15 (1989) 1641-1651,
- J. Phys. G15 (1989) 1641-1651 and Oxford Univ. - OUTP-89-19P (89,rec.Jun.) 12 p
•
DOI:
- 10.1088/0954-3899/15/11/008

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

Quark Quark and Quark - Anti-quark Potentials

S.N. Gupta
(
- Wayne State U.
)
,
S.F. Radford
(
- Wayne State U.
)

- Phys.Rev.D 24 (1981) 2309-2323,
- Phys. Rev. D24 ( 1981) 2309-2323
•
DOI:
- 10.1103/PhysRevD.24.2309

Semirelativistic Potential Model for Heavy Quarkonia

- Phys.Rev.D 34 (1986) 201-206,
- Phys. Rev. D34 ( 1986) 201-206
•
DOI:
- 10.1103/PhysRevD.34.201

HEAVY c anti-c AND b anti-b QUARKONIUM STATES AND UNITARITY EFFECTS

K. Heikkila
(
- Helsinki U.
)
,
Seiji Ono
(
- Aachen, Tech. Hochsch.
)
,
N.A. Tornqvist
(
- Helsinki U.
)

- Phys.Rev.D 29 (1984) 110,
- Phys.Rev.D 29 (1984) 2136 (erratum),
- Phys. Rev. D29 ( 1984) 2136. ( Phys. Rev. D29 ( 1984) 110)
•
DOI:
- 10.1103/PhysRevD.29.2136

Continuum Mixing and Coupled Channel Effects in $c \bar{c}$ and $b \bar{b}$ Quarkonium

S. Ono
(
- CERN
)
,
N.A. Tornqvist
(
- CERN
)

- Z.Phys.C 23 (1984) 59
•
DOI:
- 10.1007/BF01558041

- Z.Phys.C 40 1333

TESTING RELATIVISTIC CORRECTIONS TO q anti-q POTENTIAL ON HEAVY QUARKONIUM SPECTRUM

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Phys.Lett.B 236 (1990) 69-75
•
DOI:
- 10.1016/0370-2693(90)90597-Y

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