Extended Sources, Final State Interactions and {Bose-Einstein} Correlations. 2. Resonances and Multiparticle Rescattering

I extend the theory of Bose-Einstein correlations to the case where one of a pair of like pions is the daughter of resonance decay and include final state rescattering within the like pion pair. I consider critically the form of the isospin 2s-wave phase shift. The results of numerical calculations yield like pion correlation functions which are at best in marginal agreement with data frome+e− annihilation and proton-proton collisions. I show that the discrepancy which exists is removed by the effects of three (and more) particle rescattering. The quantitative interpretation of Bose-Einstein correlations among hadrons is very complicated unless the effective source size substantially exceeds 1 fm.

boson: statistics
correlation: two-pion
final-state interaction
pi pi: interaction
interaction: pi pi
electron positron: annihilation
annihilation: electron positron
p p: interaction
interaction: p p
meson resonance: decay

References(26)

Figures(0)

TWO PION CORRELATIONS IN HEAVY ION COLLISIONS

et al.

- Phys.Rev.C 29 (1984) 2173-2187,
- Lawrence Berkeley Lab. - LBL-16930 (84,REC.MAY) 55p,
- Phys. Rev. C29 ( 1984) 2173-2187 and Lawrence Berkeley Lab. - LBL-16930 (84,REC.MAY) 55p,
•
DOI:
- 10.1103/PhysRevC.29.2173

PION SOURCE PARAMETERS IN AR ON KCL COLLISIONS

et al.

- Phys.Rev.C 27 (1983) 910-913,
- Phys. Rev. C27 ( 1983) 910-913
•
DOI:
- 10.1103/PhysRevC.27.910

Pion Interferometry in Jet Events at the {CERN} Intersecting Storage Rings

Axial Field Spectrometer

Collaboration

•

T. Åkesson
(
- CERN
)

et al.

- Z.Phys.C 36 (1987) 517,
•
DOI:
- 10.1007/BF01630589

{Bose-Einstein} Correlations for Pions Produced in $p p$ Collisions at 360-{GeV}/ $c$

NA23 and
EHS-RCBC

Collaborations

•

J.L. Bailly

et al.

- Z.Phys.C 43 (1989) 341
•
DOI:
- 10.1007/BF01506529

Study of bose-einstein correlations in $e^+e^-$ annihilation at 29-GeV

TPC/Two Gamma

Collaboration

•

H. Aihara

et al.

- Phys.Rev.D 31 (1985) 996
•
DOI:
- 10.1103/PhysRevD.31.996

BOSE-EINSTEIN CORRELATIONS IN E+ E- ANNIHILATIONS IN THE UPSILON REGION

CLEO

Collaboration

•

P. Avery
(
- Cornell U., LNS
)

et al.

- Phys.Rev.D 32 (1985) 2294-2302,
- Phys. Rev. D32 ( 1985) 2294-2302,
•
DOI:
- 10.1103/PhysRevD.32.2294

{Bose-Einstein} Correlations Observed in $e^+ e^-$ Annihilation at a Center-of-mass Energy of 34-{GeV}

TASSO

Collaboration

•

M. Althoff
(
- Aachen, Tech. Hochsch.
)

et al.

- Z.Phys.C 30 (1986) 355
•
DOI:
- 10.1007/BF01557599

{Bose-Einstein} Correlations in $e^+ e^-$ Collisions

I. Juricic
(
- LBL, Berkeley and
- UC, Berkeley
)
,
G. Goldhaber
(
- LBL, Berkeley and
- UC, Berkeley
)
,
G. Gidal
(
- LBL, Berkeley and
- UC, Berkeley
)
,
G.S. Abrams
(
- LBL, Berkeley and
- UC, Berkeley
)
,
D. Amidei
(
- LBL, Berkeley and
- UC, Berkeley
)

et al.

- Phys.Rev.D 39 (1989) 1,
•
DOI:
- 10.1103/PhysRevD.39.1

Pion Interferometry of Nuclear Collisions. 1. Theory

- Phys.Rev.C 20 (1979) 2267-2292,
- Phys.Rev.C20 (1979) 2267-2292 and Lawrence Berkeley Lab - LBL-8759 (79,REC.JUN) 83p,
•
DOI:
- 10.1103/PhysRevC.20.2267

{Bose-Einstein} Symmetrization: Coherence and Chaos: With Particular Application to $e^+ e^-$ Annihilation

M.G. Bowler
(
- Oxford U.
)

- Z.Phys.C 29 (1985) 617,
•
DOI:
- 10.1007/BF01560297

The Bose-Einstein Effect and the Jet Structure of Hadronic Final States

Alberto Giovannini
(
- CERN
)
,
G. Veneziano
(
- CERN
)

- Nucl.Phys.B 130 (1977) 61-75
•
DOI:
- 10.1016/0550-3213(77)90392-3

Coherent production of pions

D. Horn
(
- CERN
)
,
R. Silver
(
- Caltech, Kellogg Lab
)

- Annals Phys. 66 (1971) 509-541
•
DOI:
- 10.1016/0003-4916(71)90068-6

BOSE-EINSTEIN CORRELATIONS BETWEEN KAONS

Axial Field Spectrometer

Collaboration

•

T. Akesson
(
- CERN
)

et al.

- Phys.Lett.B 155 (1985) 128,
•
DOI:
- 10.1016/0370-2693(85)91046-9

Particle Correlation Observed in e $^{+}$ e $^{-}$ Annihilations Into Hadrons at c.m. Energies Between 29-{GeV} and 37-{GeV}

TASSO

Collaboration

•

M. Althoff
(
- Aachen, Tech. Hochsch.
)

et al.

- Z.Phys.C 29 (1985) 347
•
DOI:
- 10.1007/BF01565181

Bose-Einstein Correlations and Color Strings

- Phys.Lett.B 169 (1986) 364-368
•
DOI:
- 10.1016/0370-2693(86)90373-4

Quantization of the String Fragmentation Model

X. Artru
(
- Orsay, LPT
)
,
M.G. Bowler
(
- Oxford U.
)

- Z.Phys.C 37 (1988) 293
•
DOI:
- 10.1007/BF01579915

Elucidation of the Relationship Between Two Different Treatments of {Bose-Einstein} Correlations in the String Model

M.G. Bowler
(
- Oxford U.
)

- Phys.Lett.B 185 (1987) 205-208
•
DOI:
- 10.1016/0370-2693(87)91555-3

Resonances Need Not Destroy {Bose-Einstein} Correlation in $e^+ e^-$ Annihilation

M.G. Bowler
(
- Oxford U.
)

- Phys.Lett.B 180 (1986) 299-302
•
DOI:
- 10.1016/0370-2693(86)90314-X

Extended Sources, Final State Interactions and {Bose-Einstein} Correlations

M.G. Bowler
(
- Oxford U.
)

- Z.Phys.C 39 (1988) 81
•
DOI:
- 10.1007/BF01560395

STUDY OF pi pi SCATTERING IN THE ISOTOPIC SPIN-2 CHANNEL

- Phys.Rev.D 7 (1973) 661
•
DOI:
- 10.1103/PhysRevD.7.661

The Effective Lagrangian for Skyrmion Physics

- Phys.Rev.D 33 (1986) 1994,
- In *Santa Barbara 1985, Proceedings, Nuclear chromodynamics* 421-431 and Oxford Univ. - 85-049 (85,rec.Aug.) 25 p.
•
DOI:
- 10.1103/PhysRevD.33.1994

Pion pion scattering below 850 mev. a unique solution

D. Morgan
(
- Rutherford
)
,
Graham Shaw
(
- Columbia U.
)

- Phys.Rev.D 2 (1970) 520-528
•
DOI:
- 10.1103/PhysRevD.2.520

A Study of pi- pi- scattering from pi- p interactions at 3.93-GeV/c

et al.

- Nucl.Phys.B 69 (1974) 185-204
•
DOI:
- 10.1016/0550-3213(74)90131-X

Isospin-two pi pi phase shifts from an experiment pi+ p ---> pi+ pi+ n at 12.5 gev/c

W. Hoogland
(
- Amsterdam U., Zeeman Lab.
)
,
G. Grayer
(
- CERN
)
,
B. Hyams
(
- CERN
)
,
C. Jones
(
- CERN
)
,
P. Weilhammer
(
- CERN
)

et al.

- Nucl.Phys.B 69 (1974) 266-278
•
DOI:
- 10.1016/0550-3213(74)90052-2

Pi pi phase shifts from chew-low extrapolations of pi- p ---> pi pi n at 2.77 gev/c

- Phys.Lett.B 33 (1970) 528-532
•
DOI:
- 10.1016/0370-2693(70)90236-4

1-25 of 26
1
2
25 / page