$\frac{E_{1+}}{M_{1+}}$ and $\frac{S_{1}}{M_{1+}}$ and Their $Q^2$ Dependence in $\gamma_\nu N \to \Delta$ With Relativized Quark Model Wave Functions

Capstick, Simon; Karl, Gabriel

doi:10.1103/PhysRevD.41.2767

$\frac{E_{1+}}{M_{1+}}$ and $\frac{S_{1}}{M_{1+}}$ and Their $Q^2$ Dependence in $\gamma_\nu N \to \Delta$ With Relativized Quark Model Wave Functions

Simon Capstick
(
- Carnegie Mellon U.
)
,
Gabriel Karl
(
- Guelph U.
)

Nov, 1989

24 pages

Published in:

Phys.Rev.D 41 (1990) 2767

DOI:

10.1103/PhysRevD.41.2767

Report number:

CMU-HEP89-26

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Citations per year

Abstract: (APS)

We calculate the multipole ratios E1+M1+ (electric quadrupole to magnetic dipole) and S1+M1+ (scalar quadrupole to magnetic dipole) for the reaction γvN→Δ. We use the nonrelativistic transition operators but wave functions expanded in a large harmonic-oscillator basis which are the solutions of a "relativized" Hamiltonian (relativized wave functions), in order to test the dependence of the results on truncation of the wave-function basis. Our results show an M1+ multipole closer to the experimental data at the photon point, E1+(0)M1+(0)≃−0.2, and smaller values of these ratios than previous calculations at all Q2. The current-conservation condition between S1+ and L1+ (the longitudinal quadrupole multipole) is also satisfied to a better approximation with the relativized wave functions at values of Q2 where the model is believable.

photon nucleon: interaction
interaction: photon nucleon
Delta(1232): photoproduction
photoproduction: Delta(1232)
form factor: multipole
multipole: form factor
form factor: electric
electric: form factor
form factor: magnetic
magnetic: form factor

References(38)

Figures(0)

[1]

Quadrupole Transition $\Delta \to N (\gamma$ ) in Quark Model

S.S. Gershtein
(
- Serpukhov, IHEP
)
,
G.V. Jikia
(
- Moscow Phys. Eng. Inst.
)

- Sov.J.Nucl.Phys. 34 (1981) 870,
- Yad.Fiz. 34 (1981) 1566-1575,
- Yad. Fiz. 34 ( 1981) 1566-1575 and Serpukhov Inst. High Energy Phys. - 81-085 (81,REC.AUG.) 16 P. (108670)

[2]

D Waves in the Nucleon: A Test of Color Magnetism

- Phys.Rev.D 25 (1982) 2394
•
DOI:
- 10.1103/PhysRevD.25.2394

[3]

Effect of Quark Quark Tensor Force on the Radiative Decay of $\Delta$ Isobar to Nucleon

Jishnu Dey
(
- McMaster U.
)
,
Mira Dey
(
- McMaster U.
)

- Phys.Lett.B 138 (1984) 200-204
•
DOI:
- 10.1016/0370-2693(84)91900-2

[4]

A NOTE ON THE QUADRUPOLE (N ---> DELTA) TRANSITION AMPLITUDE IN QUARK MODELS

D. Drechsel
(
- Genoa U.
)
,
M.M. Giannini
(
- Genoa U.
)

- Phys.Lett.B 143 (1984) 329-333
•
DOI:
- 10.1016/0370-2693(84)91476-X

[5]

Color Hyperfine Versus Pion Dynamics in the $N(939) - \Delta(1232)$ Baryons

M. Weyrauch
(
- Virginia U.
)
,
H.J. Weber
(
- Virginia U.
)

- Phys.Lett.B 171 (1986) 13,
- Phys.Lett.B 181 (1986) 415 (erratum)
•
DOI:
- 10.1016/0370-2693(86)90988-3

[6]

Test of the Nonrelativistic Quark Model for 'Elementary' Particles: Radiative Decays of Vector Mesons

C. Becchi
(
- INFM, Genoa and
- INFN, Genoa
)
,
Giacomo Morpurgo
(
- INFM, Genoa and
- INFN, Genoa
)

- Phys.Rev. 140 (1965) B687-B690
•
DOI:
- 10.1103/PhysRev.140.B687

[6]

Experimental Tests of Broken $\tilde{U} (12)$ and Approximate $U(6)\times U(6)$

H. Harari
(
- Soreq Nucl. Res. Ctr.
)
,
H.J. Lipkin
(
- ICTP, Trieste
)

- Phys.Rev. 140 (1965) B1617-B1619
•
DOI:
- 10.1103/PhysRev.140.B1617

[6]

A New Extended Model of Hadrons

- Phys.Rev.D 9 (1974) 3471-3495
•
DOI:
- 10.1103/PhysRevD.9.3471

[6]

Baryon Structure in the Bag Theory

- Phys.Rev.D 10 (1974) 2599
•
DOI:
- 10.1103/PhysRevD.10.2599

[6]

PION PHOTOPRODUCTION IN THE DELTA (1232) REGION AND CHIRAL BAG MODELS

German Kaelbermann
(
- Tel Aviv U.
)
,
J.M. Eisenberg
(
- Tel Aviv U.
)

- Phys.Rev.D 28 (1983) 71-78,
- Phys. Rev. D28 ( 1983) 71-78
•
DOI:
- 10.1103/PhysRevD.28.71

[6]

Pion Photoproduction in Chiral Bag Models

M. Araki
(
- Alberta U.
)
,
A.N. Kamal
(
- Alberta U.
)

- Phys.Rev.D 29 (1984) 1345-1353,
- Phys. Rev. D29 ( 1984) 1345-1353 and Edmonton Alberta Univ. - THY-83-04 (83,REC.MAY) 33p
•
DOI:
- 10.1103/PhysRevD.29.1345

[6]

Model Independent Relations for Baryons as Solitons in Mesonic Theories

- Nucl.Phys.B 249 (1985) 507-518
•
DOI:
- 10.1016/0550-3213(85)90089-6

[6]

Semiclassical Projection of Hedgehog Models With Quarks

Thomas D. Cohen
(
- Maryland U.
)
,
Wojciech Broniowski
(
- Maryland U.
)

- Phys.Rev.D 34 (1986) 3472
•
DOI:
- 10.1103/PhysRevD.34.3472

[6]

The E2 / M1 Transition Ratio for $\gamma N \to \Delta(1232)$ in a Modified Skyrme Model

A. Wirzba
(
- Nordita
)
,
W. Weise
(
- Regensburg U.
)

- Phys.Lett.B 188 (1987) 6-10
•
DOI:
- 10.1016/0370-2693(87)90695-2

[6]

Photoproduction of $\Delta$ and Roper Resonances in the Cloudy Bag Model

K. Bermuth
(
- Mainz U., Inst. Phys.
)
,
D. Drechsel
(
- Mainz U., Inst. Phys.
)
,
L. Tiator
(
- Mainz U., Inst. Phys.
)
,
J.B. Seaborn
(
- Richmond U.
)

- Phys.Rev.D 37 (1988) 89-100
•
DOI:
- 10.1103/PhysRevD.37.89

[7]

Color Magnetism and the Helicity Zero ( $\gamma$ (Neutrino) $N \to \Delta$ ) Transition Amplitude

M. Bourdeau
(
- Rensselaer Poly.
)
,
N.C. Mukhopadhyay
(
- Rensselaer Poly.
)

- Phys.Rev.Lett. 58 (1987) 976-979,
- Phys. Rev. Lett. 58 ( 1987) 976-979
•
DOI:
- 10.1103/PhysRevLett.58.976

[8]

Electroexcitation of $\Delta(1230)$ Isobar in the Constituent Quark Model

- Yad.Fiz. 45 (1987) 1085-1090

[9]

Color magnetism and Delta photoproduction

N.C. Mukhopadhyay
(
- Rensselaer Poly. and
- Virginia U.
)

- ,
- In *Troy 1988, Proceedings, Excited baryons 1988* 205-234

[9]

Experimental status of the N ---> Delta transition

C.N. Papanicolas
(
- Illinois U., Urbana
)

- ,
- In *Troy 1988, Proceedings, Excited baryons 1988* 235-255

[10]

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

[10]

Baryon Decays in a Quark Model with Chromodynamics

Roman Koniuk
(
- Toronto U.
)
,
Nathan Isgur
(
- Toronto U.
)

- Phys.Rev.D 21 (1980) 1868,
- Phys.Rev.D 23 (1981) 818 (erratum)
•
DOI:
- 10.1103/PhysRevD.21.1868

[10]

Deformed Bags and the $\pi N \Delta$ Coupling Constant

- Phys.Lett.B 102 (1981) 97-101
•
DOI:
- 10.1016/0370-2693(81)91038-8

[10]

QUARK AXIAL COUPLING QUENCHING AND NUCLEON COUPLING CONSTANTS

V. Vento
(
- Valencia U.
)
,
J. Navarro
(
- Valencia U.
)

- Phys.Lett.B 141 (1984) 28-32
•
DOI:
- 10.1016/0370-2693(84)90551-3

[12]

Current Conservation and the Transverse Electric Multipole Field

James Lewis Friar
(
- Los Alamos
)
,
W.C. Haxton
(
- Los Alamos and
- Washington U., Seattle
)

- Phys.Rev.C 31 (1985) 2027-2035
•
DOI:
- 10.1103/PhysRevC.31.2027

[13]

A Note on Color Magnetism Models and the Electroproduction of the $\Delta$ (1232)

Oscar A. Rondon-Aramayo
(
- Virginia U. and
- SLAC
)

- Nucl.Phys.A 490 (1988) 643,
- In *Troy 1988, Proceedings, Excited baryons 1988* 278-287, and SLAC Stanford - SLAC-PUB-4633 (88,rec.Jul.) 23 p
•
DOI:
- 10.1016/0375-9474(88)90018-8

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E1+M1+\frac{E_{1+}}{M_{1+}}M1+​E1+​​ and S1M1+\frac{S_{1}}{M_{1+}}M1+​S1​​ and Their Q2Q^2Q2 Dependence in γνN→Δ\gamma_\nu N \to \Deltaγν​N→Δ With Relativized Quark Model Wave Functions

Citations per year

$\frac{E_{1+}}{M_{1+}}$ and $\frac{S_{1}}{M_{1+}}$ and Their $Q^2$ Dependence in $\gamma_\nu N \to \Delta$ With Relativized Quark Model Wave Functions