Coupled-channel approach in hadron–hadron scattering - INSPIRE

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Coupled-channel approach in hadron–hadron scattering

J.A. Oller
(
- Murcia U.
)

Sep 1, 2019

104 pages

Published in:

Prog.Part.Nucl.Phys. 110 (2020) 103728

e-Print:

1909.00370 [hep-ph]

DOI:

10.1016/j.ppnp.2019.103728 (publication)

View in:

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Abstract: (Elsevier)

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in hadron physics, either by themselves or in conjunction with effective field theory. We also develop the use of the Lippmann–Schwinger equation in near-threshold scattering and compare it with other methods. The final(initial)-state interactions are discussed in detail for the elastic and coupled-channel case. Emphasis has been put in the derivation and discussion of the methods presented, with some applications examined as important examples of their usage.

Note:

104 pages, 9 figures. Invited review article for Prog. Part. Nucl. Phys

Scattering
Final/initial state interactions
Analyticity
Resonances
hadron hadron: scattering
coupled channel
Lippmann-Schwinger equation
effective field theory
analytic properties
partial wave

References(281)

Figures(6)

[1]

N/D description of two meson amplitudes and chiral symmetry

J.A. Oller
(
- Valencia U.
)
,
E. Oset
(
- Valencia U.
)

- Phys.Rev.D 60 (1999) 074023
•
e-Print:
- hep-ph/9809337
•
DOI:
- 10.1103/PhysRevD.60.074023

[1]

N/D description of two meson amplitudes and chiral symmetry

J.A. Oller
(
- Valencia U.
)
,
E. Oset
(
- Valencia U.
)

- Frascati Phys.Ser. 15 (1999) 165-209

[2]

Observation of a narrow charmonium-like state in exclusive $B^\pm \to K^\pm \pi^+ \pi^- J/\psi$ decays

Belle

Collaboration

•

S.K. Choi
(
- Gyeongsang Natl. U.
)

et al.

- Phys.Rev.Lett. 91 (2003) 262001
•
e-Print:
- hep-ex/0309032
•
DOI:
- 10.1103/PhysRevLett.91.262001

[3]

W. Heisenberg

- Z.Phys. 120 (1943) 513

[4]

The Analytic S-matrix (Cambridge University Press, Cambridge,)

R.J. Eden
,
P.V. Landshoff
,
D.I. Olive
,
J.C. Polkinghorne

[5]

The Quantum Field Theory of Fields. Volume I. Foundations (Cambridge University Press, New York,)

S. Weinberg

[6]

to Dispersion Relations. With modern Applications / Briefs in Physics, Heidelberg,)

J.A. Oller
,
Introduction
,
A. Brief

[7]

Non-perturbative methods for a chiral effective field theory of finite density nuclear systems

A. Lacour
(
- Bonn U., HISKP
)
,
J.A. Oller
(
- Murcia U.
)
,
U.-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

- Annals Phys. 326 (2011) 241-306
•
e-Print:
- 0906.2349
•
DOI:
- 10.1016/j.aop.2010.06.012

[8]

A chiral covariant approach to $\rho\rho$ scattering

D. Gülmez
(
- Bonn U. and
- Bonn U., HISKP
)
,
U. -G. Meißner
(
- Bonn U. and
- Bonn U., HISKP and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
J.A. Oller
(
- Murcia U.
)

- Eur.Phys.J.C 77 (2017) 7, 460
•
e-Print:
- 1611.00168
•
DOI:
- 10.1140/epjc/s10052-017-5018-z

[9]

Elementary Theory of Angular Momentum / New York,)

M.E. Rose

[10]

The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering

J.A. Oller
(
- Murcia U.
)
,
D.R. Entem
(
- Salamanca U.
)

- Annals Phys. 411 (2019) 167965
•
e-Print:
- 1810.12242
•
DOI:
- 10.1016/j.aop.2019.167965

[11]

Elementary Particle Theory / Publishing Company, Amsterdam,)

A.D. Martin
,
T.D. Spearman

[12]

Roy equation analysis of pi pi scattering

B. Ananthanarayan
(
- Bangalore, Indian Inst. Sci.
)
,
G. Colangelo
(
- Zurich U.
)
,
J. Gasser
(
- Bern U.
)
,
H. Leutwyler
(
- Bern U.
)

- Phys.Rept. 353 (2001) 207-279
•
e-Print:
- hep-ph/0005297
•
DOI:
- 10.1016/S0370-1573(01)00009-6

[13]

The Pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV

- Phys.Rev.D 83 (2011) 074004
•
e-Print:
- 1102.2183
•
DOI:
- 10.1103/PhysRevD.83.074004

[14]

Identification of a Scalar Glueball

M. Albaladejo
(
- Murcia U.
)
,
J.A. Oller
(
- Murcia U.
)

- Phys.Rev.Lett. 101 (2008) 252002
•
e-Print:
- 0801.4929
•
DOI:
- 10.1103/PhysRevLett.101.252002

[15]

Chiral symmetry amplitudes in the S wave isoscalar and isovector channels and the $\sigma$ , f $_0$ (980), a $_0$ (980) scalar mesons

J.A. Oller
(
- Valencia U.
)
,
E. Oset
(
- Valencia U.
)

- Nucl.Phys.A 620 (1997) 438-456,
- Nucl.Phys.A 652 (1999) 407-409 (erratum)
•
e-Print:
- hep-ph/9702314
•
DOI:
- 10.1016/S0375-9474(97)00160-7

[15]

Chiral symmetry amplitudes in the S wave isoscalar and isovector channels and the $\sigma$ , f $_0$ (980), a $_0$ (980) scalar mesons

J.A. Oller
(
- Valencia U.
)
,
E. Oset
(
- Valencia U.
)

- Nucl.Phys.A 620 (1997) 438-456,
- Nucl.Phys.A 652 (1999) 407-409 (erratum)
•
e-Print:
- hep-ph/9702314
•
DOI:
- 10.1016/S0375-9474(97)00160-7

[16]

Scattering of low-energy photons by particles of spin 1/2

Murray Gell-Mann
(
- Chicago U.
)
,
M.L. Goldberger
(
- Chicago U.
)

- Phys.Rev. 96 (1954) 1433-1438
•
DOI:
- 10.1103/PhysRev.96.1433

[17]

Strong Interaction Physics / New York,)

G.F. Chew
,
M. Jacob

[18]

Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering

G.F. Chew
(
- Illinois U., Urbana and
- Princeton, Inst. Advanced Study
)
,
M.L. Goldberger
(
- Chicago U.
)
,
F.E. Low
(
- Illinois U., Urbana and
- MIT
)
,
Y. Nambu
(
- Chicago U.
)

- Phys.Rev. 106 (1957) 1337-1344
•
DOI:
- 10.1103/PhysRev.106.1337

[19]

On Kinematical Constraints in Boson-Boson Systems

M.F.M. Lutz
(
- Darmstadt, GSI
)
,
I. Vidana
(
- Coimbra U.
)

- Eur.Phys.J.A 48 (2012) 124
•
e-Print:
- 1111.1838
•
DOI:
- 10.1140/epja/i2012-12124-4

[19]

On kinematical constraints in fermion-antifermion systems

- Phys.Rev.D 84 (2011) 125001
•
e-Print:
- 1106.5619
•
DOI:
- 10.1103/PhysRevD.84.125001

[20]

Scattering amplitudes for all masses and spins

Nima Arkani-Hamed
(
- Princeton, Inst. Advanced Study
)
,
Tzu-Chen Huang
(
- Caltech
)
,
Yu-tin Huang
(
- Taiwan, Natl. Taiwan U. and
- NCTS, Hsinchu
)

- JHEP 11 (2021) 070
•
e-Print:
- 1709.04891
•
DOI:
- 10.1007/JHEP11(2021)070

[21]

Scattering Amplitudes

Henriette Elvang
(
- Michigan U., MCTP
)
,
Yu-tin Huang
(
- Michigan U., MCTP
)

e-Print:
- 1308.1697

[22]

Improved description of the $\pi N$ -scattering phenomenology in covariant baryon chiral perturbation theory

J.M. Alarcon
(
- Mainz U., Inst. Kernphys.
)
,
J. Martin Camalich
(
- Sussex U.
)
,
J.A. Oller
(
- Murcia U.
)

- Annals Phys. 336 (2013) 413-461
•
e-Print:
- 1210.4450
•
DOI:
- 10.1016/j.aop.2013.06.001

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