Isoscalar $\pi\pi, K\overline{K}, \eta\eta$ scattering and the $\sigma, f_0, f_2$ mesons from QCD

Briceno, Raul A.; Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.

doi:10.1103/PhysRevD.97.054513

Isoscalar $\pi\pi, K\overline{K}, \eta\eta$ scattering and the $\sigma, f_0, f_2$ mesons from QCD

Raul A. Briceno
(
- Jefferson Lab and
- Old Dominion U.
)
,
Jozef J. Dudek
(
- Coll. William and Mary and
- Jefferson Lab
)
,
Robert G. Edwards
(
- Jefferson Lab
)
,
David J. Wilson
(
- Trinity Coll., Dublin
)

Aug 20, 2017

24 pages

Published in:

Phys.Rev.D 97 (2018) 5, 054513

Published: Mar 27, 2018

e-Print:

1708.06667 [hep-lat]

DOI:

10.1103/PhysRevD.97.054513

Report number:

JLAB-THY-17-2534

View in:

ADS Abstract Service

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Abstract: (APS)

We present the first lattice QCD study of coupled isoscalar ππ,KK¯,ηη S- and D-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the light quark mass corresponding to mπ∼391 MeV. In the JP=0+ sector we find analogues of the experimental σ and f0(980) states, where the σ appears as a stable bound-state below ππ threshold, and, similar to what is seen in experiment, the f0(980) manifests itself as a dip in the ππ cross section in the vicinity of the KK¯ threshold. For JP=2+ we find two states resembling the f2(1270) and f2′(1525), observed as narrow peaks, with the lighter state dominantly decaying to ππ and the heavier state to KK¯. The presence of all these states is determined rigorously by finding the pole singularity content of scattering amplitudes, and their couplings to decay channels are established using the residues of the poles.

meson meson: scattering
pi pi: scattering
K anti-K: scattering
bound state: stability
quark: mass dependence
scattering
isoscalar
quantum chromodynamics
lattice field theory
numerical calculations

References(92)

Figures(32)

[1]

Experimental Results on the (K Kbar) and (K p) Systems as Observed in the Annihilations pbar p --> K Kbar pi at Rest

G. Conforto
,
B. Marechal
(
- CERN
)

- Nucl.Phys.B 3 (1967) 469-503
•
DOI:
- 10.1016/0550-3213(67)90055-7

[2]

Further Study of the #quantum{I=1} K Kbar Structure near Threshold.

- Phys.Lett.B 25 (1967) 294-297
•
DOI:
- 10.1016/0370-2693(67)90020-2

[3]

Pi pi Partial Wave Analysis from Reactions pi+ p ---> pi+ pi- Delta++ and pi+ p ---> K+ K- Delta++ at 7.1-GeV/c

S.D. Protopopescu
(
- LBL, Berkeley
)
,
M. Alston-Garnjost
(
- LBL, Berkeley
)
,
A. Barbaro-Galtieri
(
- LBL, Berkeley
)
,
Stanley M. Flatte
(
- LBL, Berkeley
)
,
J.H. Friedman
(
- LBL, Berkeley
)

et al.

- Phys.Rev.D 7 (1973) 1279
•
DOI:
- 10.1103/PhysRevD.7.1279

[4]

$\pi\pi$ Phase Shift Analysis from 600-MeV to 1900-MeV

B. Hyams
(
- CERN
)
,
C. Jones
(
- CERN
)
,
P. Weilhammer
(
- CERN
)
,
W. Blum
(
- Munich, Max Planck Inst.
)
,
H. Dietl
(
- Munich, Max Planck Inst.
)

et al.

- Nucl.Phys.B 64 (1973) 134-162
•
DOI:
- 10.1016/0550-3213(73)90618-4

[5]

High Statistics Study of the Reaction pi- p --> pi- pi+ n: Apparatus, Method of Analysis, and General Features of Results at 17-GeV/c

et al.

- Nucl.Phys.B 75 (1974) 189-245
•
DOI:
- 10.1016/0550-3213(74)90545-8

[6]

pi pi Phase Shift Analysis Below the K anti-K Threshold

P. Estabrooks
(
- Durham U.
)
,
Alan D. Martin
(
- Durham U.
)

- Nucl.Phys.B 79 (1974) 301-316
•
DOI:
- 10.1016/0550-3213(74)90488-X

[7]

Separation of S wave pseudoscalar and pseudovector amplitudes in pi- p (polarized) ---> pi+ pi- n reaction on polarized target

- Z.Phys.C 74 (1997) 79-91
•
e-Print:
- hep-ph/9606362
•
DOI:
- 10.1007/s002880050372

[8]

Theory of low-energy pion pion interactions

Geoffrey F. Chew
(
- LBL, Berkeley and
- UC, Berkeley
)
,
Stanley Mandelstam
(
- LBL, Berkeley and
- UC, Berkeley
)

- Phys.Rev. 119 (1960) 467-477
•
DOI:
- 10.1103/PhysRev.119.467

[9]

On the Nature of 0+ Mesons

Stanley M. Flatte
(
- CERN
)

- Phys.Lett.B 63 (1976) 228-230
•
DOI:
- 10.1016/0370-2693(76)90655-9

[10]

Coupled channel analysis of $\pi^+ \pi^ -\pi^0$ , $K^+ K^- \pi^0$ and $K^{\pm} K^0_S \pi^{\mp}$ from $\bar p p$ annihilation at rest in hydrogen targets at three densities

OBELIX

Collaboration

•

M. Bargiotti
(
- Bologna U. and
- INFN, Bologna
)

et al.

- Eur.Phys.J.C 26 (2003) 371-388
•
DOI:
- 10.1140/epjc/s2002-01080-7

[11]

Flatte-like distributions and the a(0)(980) / f(0)(980) mesons

V. Baru
(
- Moscow, ITEP
)
,
J. Haidenbauer
(
- Julich, Forschungszentrum
)
,
C. Hanhart
(
- Julich, Forschungszentrum
)
,
Alexander Evgenyevich Kudryavtsev
(
- Moscow, ITEP
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum and
- Bonn U., HISKP
)

- Eur.Phys.J.A 23 (2005) 523-533
•
e-Print:
- nucl-th/0410099
•
DOI:
- 10.1140/epja/i2004-10105-x

[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]

$\pi \pi$ scattering

- Nucl.Phys.B 603 (2001) 125-179
•
e-Print:
- hep-ph/0103088
•
DOI:
- 10.1016/S0550-3213(01)00147-X

[14]

The Pole structure of the unitary, crossing symmetric low energy pi pi scattering amplitudes

et al.

- JHEP 02 (2005) 043
•
e-Print:
- hep-ph/0406271
•
DOI:
- 10.1088/1126-6708/2005/02/043

[15]

Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis

- Phys.Rev.Lett. 107 (2011) 072001
•
e-Print:
- 1107.1635
•
DOI:
- 10.1103/PhysRevLett.107.072001

[16]

Mass and width of the lowest resonance in QCD

Irinel Caprini
(
- Bucharest, IFIN-HH
)
,
Gilberto Colangelo
(
- Bern U.
)
,
Heinrich Leutwyler
(
- Bern U.
)

- Phys.Rev.Lett. 96 (2006) 132001
•
e-Print:
- hep-ph/0512364
•
DOI:
- 10.1103/PhysRevLett.96.132001

[17]

From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance

J.R. Pelaez
(
- Madrid U.
)

- Phys.Rept. 658 (2016) 1
•
e-Print:
- 1510.00653
•
DOI:
- 10.1016/j.physrep.2016.09.001

[18]

Multi-Quark Hadrons. 1. The Phenomenology of (2 Quark 2 anti-Quark) Mesons

Robert L. Jaffe
(
- SLAC and
- MIT, LNS
)

- Phys.Rev.D 15 (1977) 267,
- In *Lichtenberg, D. B. ( Ed.), Rosen, S. P. ( Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 431-444. ( Phys. Rev. D15 ( 1977) 267-280)
•
DOI:
- 10.1103/PhysRevD.15.267