Fixed t subtracted dispersion relations for Compton Scattering off the nucleon - INSPIRE

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Fixed t subtracted dispersion relations for Compton Scattering off the nucleon

Apr, 1999

43 pages

Published in:

Phys.Rev.C 61 (1999) 015204

e-Print:

hep-ph/9904290 [hep-ph]

DOI:

10.1103/PhysRevC.61.015204

Report number:

MKPH-T-99-09

View in:

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Abstract:

We present fixed-

t

subtracted dispersion relations for Compton scattering off the nucleon at energies

E_\gamma \leq

500 MeV, as a formalism to extract the nucleon polarizabilities with a minimum of model dependence. The subtracted dispersion integrals are mainly saturated by

\pi N

intermediate states in the

s

-channel

\gamma N \to \pi N \to \gamma N

and

\pi \pi

intermediate states in the

t

-channel

\gamma \gamma \to \pi \pi \to N \bar N

. For the subprocess

\gamma \gamma \to \pi \pi

, we construct a unitarized amplitude and find a good description of the available data. We show results for Compton scattering using the subtracted dispersion relations and display the sensitivity on the scalar polarizability difference

\alpha - \beta

and the backward spin polarizability

\gamma_\pi

, which enter directly as fit parameters in the present formalism.

photon nucleon: elastic scattering
Compton scattering
partial wave
dispersion relation
nucleon: polarizability
photon photon: exclusive reaction
nucleon: pair production
pi: pair production
helicity: scattering amplitude
tensor meson

References(45)

Figures(16)

The Proton Compton effect: A Measurement of the electric and magnetic polarizabilities of the proton

F.J. Federspiel
(
- Illinois U., Urbana
)
,
R.A. Eisenstein
(
- Illinois U., Urbana
)
,
M.A. Lucas
(
- Illinois U., Urbana
)
,
B.E. MacGibbon
(
- Illinois U., Urbana
)
,
K. Mellendorf
(
- Illinois U., Urbana
)

et al.

- Phys.Rev.Lett. 67 (1991) 1511-1514
•
DOI:
- 10.1103/PhysRevLett.67.1511

180-degrees Compton scattering by the proton below the pion threshold

A. Zieger
(
- Mainz, Max Planck Inst. and
- Gent U.
)
,
R. Van de Vyver
(
- Mainz, Max Planck Inst. and
- Gent U.
)
,
D. Christmann
(
- Mainz, Max Planck Inst. and
- Gent U.
)
,
A. De Graeve
(
- Mainz, Max Planck Inst. and
- Gent U.
)
,
C. Van den Abeele
(
- Mainz, Max Planck Inst. and
- Gent U.
)

et al.

- Phys.Lett.B 278 (1992) 34-38
•
DOI:
- 10.1016/0370-2693(92)90707-B

Compton scattering from the proton

et al.

- Phys.Rev.C 48 (1993) 1497-1507
•
DOI:
- 10.1103/PhysRevC.48.1497

Measurement of the electric and magnetic polarizabilities of the proton

B.E. MacGibbon
(
- Illinois U., Urbana
)
,
G. Garino
(
- Illinois U., Urbana
)
,
M.A. Lucas
(
- Illinois U., Urbana
)
,
A.M. Nathan
(
- Illinois U., Urbana
)
,
G. Feldman
(
- Saskatchewan U.
)

et al.

- Phys.Rev.C 52 (1995) 2097-2109
•
e-Print:
- nucl-ex/9507001
•
DOI:
- 10.1103/PhysRevC.52.2097

Dispersion theory of proton Compton scattering in the first and second resonance regions

- Phys.Rev.C 55 (1997) 359-377
•
DOI:
- 10.1103/PhysRevC.55.359

Scattering of photons by the proton through Theta(cms) = 90-degrees in the Delta resonance region

C. Molinari
(
- Genoa U. and
- INFN, Genoa
)
,
P. Ottonello
(
- Genoa U. and
- INFN, Genoa
)
,
A. Robbiano
(
- Genoa U. and
- INFN, Genoa
)
,
M. Sanzone
(
- Genoa U. and
- INFN, Genoa
)
,
A. Zucchiatti
(
- Genoa U. and
- INFN, Genoa
)

et al.

- Phys.Lett.B 371 (1996) 181-185
•
DOI:
- 10.1016/0370-2693(96)00020-2

Compton scattering by the proton through θcms = 75° in the $\Delta$ -resonance region

et al.

- Phys.Lett.B 384 (1996) 37-42,
- Phys.Lett.B 384 (1996) 37-42
•
DOI:
- 10.1016/0370-2693(96)00709-5

First extraction of a spin polarizability of the proton

J. Tonnison
(
- Virginia Tech. and
- Brookhaven
)
,
A.M. Sandorfi
(
- Brookhaven
)
,
S. Hoblit
(
- Brookhaven
)
,
A.M. Nathan
(
- Illinois U., Urbana
)

- Phys.Rev.Lett. 80 (1998) 4382-4385
•
e-Print:
- nucl-th/9801008
•
DOI:
- 10.1103/PhysRevLett.80.4382

Chiral expansion of the nucleon's electromagnetic polarizabilities

Veronique Bernard
(
- Strasbourg, CRN
)
,
Norbert Kaiser
(
- Strasbourg, CRN
)
,
Ulf G. Meissner
(
- Bern U.
)

- Phys.Rev.Lett. 67 (1991) 1515-1518
•
DOI:
- 10.1103/PhysRevLett.67.1515

Consistent calculation of the nucleon electromagnetic polarizabilities in chiral perturbation theory beyond next-to-leading order

Veronique Bernard
(
- Strasbourg, CRN
)
,
Norbert Kaiser
(
- Munich, Tech. U.
)
,
Armin Schmidt
(
- Munich, Tech. U.
)
,
Ulf G. Meissner
(
- Bern U.
)

- Phys.Lett.B 319 (1993) 269-275
•
e-Print:
- hep-ph/9309211
•
DOI:
- 10.1016/0370-2693(93)90813-W

Aspects of nucleon Compton scattering

- Z.Phys.A 348 (1994) 317
•
e-Print:
- hep-ph/9311354
•
DOI:
- 10.1007/BF01305891

Systematic 1/M expansion for spin 3/2 particles in baryon chiral perturbation theory

- Phys.Lett.B 395 (1997) 89-95
•
e-Print:
- hep-ph/9606456
•
DOI:
- 10.1016/S0370-2693(97)00049-X

Delta (1232) and the polarizabilities of the nucleon

Thomas R. Hemmert
(
- TRIUMF
)
,
Barry R. Holstein
(
- Massachusetts U., Amherst
)
,
Joachim Kambor
(
- Zurich U.
)

- Phys.Rev.D 55 (1997) 5598-5612
•
e-Print:
- hep-ph/9612374
•
DOI:
- 10.1103/PhysRevD.55.5598

Compton scattering and the spin structure of the nucleon at low-energies

Thomas R. Hemmert
(
- TRIUMF
)
,
Barry R. Holstein
(
- Massachusetts U., Amherst
)
,
Joachim Kambor
(
- Zurich U.
)
,
Germar Knochlein
(
- Mainz U., Inst. Kernphys.
)

- Phys.Rev.D 57 (1998) 5746-5754
•
e-Print:
- nucl-th/9709063
•
DOI:
- 10.1103/PhysRevD.57.5746

Chiral structure of the nucleon

Veronique Bernard
(
- Strasbourg, CRN
)
,
Norbert Kaiser
(
- Munich, Tech. U.
)
,
Joachim Kambor
(
- Munich, Tech. U.
)
,
Ulf G. Meissner
(
- Bern U.
)

- Nucl.Phys.B 388 (1992) 315-345
•
DOI:
- 10.1016/0550-3213(92)90615-I

Chiral dynamics in nucleons and nuclei

- Int.J.Mod.Phys.E 4 (1995) 193-346
•
e-Print:
- hep-ph/9501384
•
DOI:
- 10.1142/S0218301395000092

Dispersion relations and the spin polarizabilities of the nucleon

- Phys.Lett.B 420 (1998) 248-254
•
e-Print:
- nucl-th/9710029
•
DOI:
- 10.1016/S0370-2693(97)01536-0

Sum rule for the backward spin polarizability of the nucleon from a backward dispersion relation

A.I. L'vov
(
- Lebedev Inst.
)
,
A.M. Nathan
(
- Illinois U., Urbana
)

- Phys.Rev.C 59 (1999) 1064-1069
•
e-Print:
- nucl-th/9807032
•
DOI:
- 10.1103/PhysRevC.59.1064

- Nucl.Phys. 18 310

- Sov.Phys.JETP 16 964

Forward Compton Scattering

Marc Damashek
(
- SLAC
)
,
Frederick J. Gilman
(
- SLAC
)

- Phys.Rev.D 1 (1970) 1319-1332
•
DOI:
- 10.1103/PhysRevD.1.1319

A New evaluation of the Baldin sum rule

- Phys.Rev.C 57 (1998) 291-294
•
e-Print:
- nucl-th/9710017
•
DOI:
- 10.1103/PhysRevC.57.291

Incompatibility of multipole predictions for the nucleon spin polarizability and Drell-Hearn-Gerasimov sum rules

A.M. Sandorfi
(
- Brookhaven and
- Virginia Tech.
)
,
M. Khandaker
(
- Brookhaven and
- Virginia Tech.
)
,
C.S. Whisnant
(
- South Carolina U.
)

- Phys.Rev.D 50 (1994) R6681-R6685
•
DOI:
- 10.1103/PhysRevD.50.R6681

Low-energy Compton scattering of polarized photons on polarized nucleons

- Phys.Rev.C 58 (1998) 1013-1041
•
e-Print:
- hep-ph/9803347
•
DOI:
- 10.1103/PhysRevC.58.1013

- Sov.J.Nucl.Phys. 33 573

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