GEOMETRICAL AND DYNAMICAL ASPECTS OF SKYRMION FLUCTUATIONS

Eckart, G.; Hayashi, A.; Holzwarth, G.

doi:10.1016/0375-9474(86)90439-2

GEOMETRICAL AND DYNAMICAL ASPECTS OF SKYRMION FLUCTUATIONS

1985

21 pages

Published in:

Nucl.Phys.A 448 (1986) 732-752

Published: 1986

DOI:

10.1016/0375-9474(86)90439-2

reference search59 citations

Citations per year

Abstract: (Elsevier)

Geometrical and dynamical aspects of skyrmion fluctuations are analysed and compared with baryon resonances in πN scattering. The adiabatic approximation which neglects the dynamical influence of rotation in isospace on the vibrational modes is reformulated in the isospace-fixed frame. This allows us to explicitly remove the coupling to exotic channels contained in the Skyrme model. There is indication that exclusion of the spin = isospin = 5 2 baryon improves the unsatisfactory high-energy behaviour of the πN scattering amplitudes obtained in the Skyrme model, while it seems that inclusion of a finite pion mass and a sixth-order term in the lagrangian does not lead to a systematic improvement of the results.

Skyrme model
BARYON RESONANCE
MASS SPECTRUM
PI NUCLEON: ELASTIC SCATTERING
ELASTIC SCATTERING: PI NUCLEON
FIELD EQUATIONS: SOLITON
QUANTIZATION
PARTIAL WAVE ANALYSIS
ANGULAR MOMENTUM
ISOSPIN

References(16)

Figures(0)

[1]

A Nonlinear field theory

T.H.R. Skyrme
(
- Harwell, AERE
)

- Proc.Roy.Soc.Lond.A 260 (1961) 127-138,
- Also in *Brown, G.E. (ed.): Selected papers of Tony Hilton Royle Skyrme* 195-206
•
DOI:
- 10.1098/rspa.1961.0018

[1]

A Unified Field Theory of Mesons and Baryons

T.H.R. Skyrme
(
- Harwell, AERE
)

- Nucl.Phys. 31 (1962) 556-569,
- Also in *Rebbi, C. ( Ed.), Soliani, G. ( Ed.): Solitons and Particles*, 499-512, and in *Lewes 1984, Proceedings, Solitons In Nuclear and Elementary Particle Physics*, 13-26
•
DOI:
- 10.1016/0029-5582(62)90775-7

[2]

Static Properties of Nucleons in the Skyrme Model

Gregory S. Adkins
(
- Princeton U.
)
,
Chiara R. Nappi
(
- Princeton, Inst. Advanced Study
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 228 (1983) 552,
- Trieste Particle Phys.1983:III-3
•
DOI:
- 10.1016/0550-3213(83)90559-X

[3]

EXCITED NUCLEON STATES IN THE SKYRME MODEL

A. Hayashi
(
- Siegen U.
)
,
G. Holzwarth
(
- Siegen U.
)

- Phys.Lett.B 140 (1984) 175-180
•
DOI:
- 10.1016/0370-2693(84)90915-8

[4]

H. Walliser
,
G. Eckart

- Nucl.Phys.A 429 (1984) 517

[5]

Pion Nucleon Scattering Phase Shifts in the Skyrme Model

- Phys.Lett.B 147 (1984) 5-9
•
DOI:
- 10.1016/0370-2693(84)90581-1

[6]

THE BREATHING MODE OF NUCLEONS AND DELTA ISOBARS IN THE SKYRME MODEL

C. Hajduk
(
- SUNY, Stony Brook
)
,
B. Schwesinger
(
- SUNY, Stony Brook
)

- Phys.Lett.B 140 (1984) 172-174
•
DOI:
- 10.1016/0370-2693(84)90914-6

[6]

LOW LYING RESONANCES IN THE SKYRME MODEL USING THE SEMICLASSICAL APPROXIMATION

I. Zahed
(
- MIT, LNS and
- Bohr Inst. and
- SUNY, Stony Brook
)
,
U.G. Meissner
(
- MIT, LNS and
- Bohr Inst. and
- SUNY, Stony Brook
)
,
U.B. Kaulfuss
(
- Ruhr U., Bochum
)

- Nucl.Phys.A 426 (1984) 525-541,
- Nucl. Phys. A426 ( 1984) 525-541
•
DOI:
- 10.1016/0375-9474(84)90162-3

[6]

Phase Shifts of the Skyrmion Breathing Mode

- Phys.Rev.Lett. 53 (1984) 889
•
DOI:
- 10.1103/PhysRevLett.53.889

[7]

A MODIFIED SKYRMION

A. Jackson
(
- SUNY, Stony Brook
)
,
A.D. Jackson
(
- SUNY, Stony Brook
)
,
A.S. Goldhaber
(
- SUNY, Stony Brook
)
,
G.E. Brown
(
- SUNY, Stony Brook
)
,
L.C. Castillejo
(
- University Coll. London
)

- Phys.Lett.B 154 (1985) 101-106
•
DOI:
- 10.1016/0370-2693(85)90566-0

[8]

Review of particle properties

[9]

Nuclear structure

A. Bohr
,
B. Mottelson

[10]

PION FLUCTUATIONS ABOUT THE SKYRMION

- Prog.Theor.Phys. 73 (1985) 520-523,
- Nagoya Univ. - DPNU-84-35 (84,REC.OCT.) 12p,
- Prog. Theor. Phys. 73 ( 1985) 520-523 and Nagoya Univ. - DPNU-84-35 (84,REC.OCT.) 12p
•
DOI:
- 10.1143/PTP.73.520

[11]

Angular momentum in quantum mechanics

A.R. Edmonds

[12]

Stanford preprint, SLAC-PUB-3538

M.P. Mattis
,
M.E. Peskin

[13]

Physics Data

G. Hoehler
,
F. Kaiser
,
R. Koch
,
E. Pietarinen