On the existence of $N^*(890)$ resonance in $S_{11}$ channel of $\pi N$ scatterings - INSPIRE

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On the existence of $N^*(890)$ resonance in $S_{11}$ channel of $\pi N$ scatterings

Yu-Fei Wang
(
- Peking U., Beijing
)
,
De-Liang Yao
(
- Valencia U., IFIC
)
,
Han-Qing Zheng
(
- Peking U., Beijing and
- CICQM, Beijing
)

Oct 18, 2018

7 pages

Published in:

Front.Phys.(Beijing) 14 (2019) 2, 24501

Published: Dec 29, 2018

e-Print:

1810.07958 [hep-ph]

DOI:

10.1007/s11467-018-0877-9

View in:

ADS Abstract Service

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Abstract: (Springer)

Low-energy partial-wave πN scattering data is reexamined with the help of the production representation of partial-wave S matrix, where branch cuts and poles are thoroughly under consideration. The left-hand cut contribution to the phase shift is determined, with controlled systematic error estimates, by using the results of O(p

^{3}

) chiral perturbative amplitudes obtained in the extended-onmass- shell scheme. In S

_{11}

and P

_{11}

channels, severe discrepancies are observed between the phase shift data and the sum of all known contributions. Statistically satisfactory fits to the data can only be achieved by adding extra poles in the two channels. We find that a S

_{11}

resonance pole locates at

\sqrt {{z_r}}

= (0:895–0:081)–(0:164–0:023)i GeV, on the complex s-plane. On the other hand, a P

_{11}

virtual pole, as an accompanying partner of the nucleon bound-state pole, locates at

\sqrt {{z_v}}

= (0:966–0:018) GeV, slightly above the nucleon pole on the real axis below threshold. Physical origin of the two newly established poles is explored to the best of our knowledge. It is emphasized that the O(p

^{3}

) calculation greatly improves the fit quality comparing with the previous O(p

^{2}

) one.

Note:

7 Pages

dispersion relations
πN scatterings
nucleon resonance
bound state: pole
resonance: pole
nucleon: pole
partial wave
phase shift
pi nucleon: scattering
S-matrix

References(34)

Figures(6)

[1]

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

[2]

Dispersion sum rules and high-energy scattering

- Phys.Lett.B 24 (1967) 181-182
•
DOI:
- 10.1016/0370-2693(67)90487-X

[3]

New Sum Rules and Singularities in the Complex J Plane

Keiji Igi
(
- Tokyo U.
)
,
Satoshi Matsuda
(
- Tokyo U.
)

- Phys.Rev.Lett. 18 (1967) 625-627
•
DOI:
- 10.1103/PhysRevLett.18.625

[4]

Finite energy sum rules and their application to pi N charge exchange

- Phys.Rev. 166 (1968) 1768-1781
•
DOI:
- 10.1103/PhysRev.166.1768

[5]

Pion-Nucleon Scattering, Landolt-Börnstein, Vol. 962, H. Schopper (eds.)

G. Höhler

[6]

Low-Energy pi N Partial Wave Analysis

R. Koch
(
- Karlsruhe U.
)
,
E. Pietarinen
(
- Karlsruhe U.
)

- Nucl.Phys.A 336 (1980) 331-346,
- Nucl.Phys.A336 (1980) 331-346 and Karlsruhe Univ - TKP 79-14 (79,REC.OCT) 23p
•
DOI:
- 10.1016/0375-9474(80)90214-6

[7]

A Calculation of Low-Energy pi N Partial Waves Based on Fixed t Analyticity

R. Koch
(
- Karlsruhe U.
)

- Nucl.Phys.A 448 (1986) 707-731
•
DOI:
- 10.1016/0375-9474(86)90438-0

[8]

Phase-shift analysis of low-energy pi+- p elastic-scattering data

E. Matsinos
(
- Varian Med. Syst. Imaging Lab.
)
,
William S. Woolcock
(
- Australian Natl. U., Canberra
)
,
G.C. Oades
(
- Aarhus U.
)
,
G. Rasche
(
- Zurich U.
)
,
A. Gashi
(
- Zurich U.
)

- Nucl.Phys.A 778 (2006) 95-123
•
e-Print:
- hep-ph/0607080
•
DOI:
- 10.1016/j.nuclphysa.2006.07.040

[9]

Extended partial-wave analysis of piN scattering data

R.A. Arndt
(
- George Washington U.
)
,
W.J. Briscoe
(
- George Washington U.
)
,
I.I. Strakovsky
(
- George Washington U.
)
,
R.L. Workman
(
- George Washington U.
)

- Phys.Rev.C 74 (2006) 045205
•
e-Print:
- nucl-th/0605082
•
DOI:
- 10.1103/PhysRevC.74.045205

[10]

Baryon chiral perturbation theory using a heavy fermion Lagrangian

- Phys.Lett.B 255 (1991) 558-562
•
DOI:
- 10.1016/0370-2693(91)90266-S

[11]

Chiral dynamics in nucleons and nuclei

- Int.J.Mod.Phys.E 4 (1995) 193-346
•
e-Print:
- hep-ph/9501384
•
DOI:
- 10.1142/S0218301395000092

[12]

Chiral Perturbation Theory and Baryon Properties

Veronique Bernard
(
- Louis Pasteur U., Strasbourg I
)

- Prog.Part.Nucl.Phys. 60 (2008) 82-160
•
e-Print:
- 0706.0312
•
DOI:
- 10.1016/j.ppnp.2007.07.001

[13]

Nucleons with chiral loops

J. Gasser
(
- Bern U.
)
,
M.E. Sainio
(
- PSI, Villigen
)
,
A. Svarc
(
- Boskovic Inst., Zagreb and
- PSI, Villigen
)

- Nucl.Phys.B 307 (1988) 779-853
•
DOI:
- 10.1016/0550-3213(88)90108-3

[14]

Renormalization of relativistic baryon chiral perturbation theory and power counting

T. Fuchs
(
- Mainz U., Inst. Kernphys.
)
,
J. Gegelia
(
- Mainz U., Inst. Kernphys. and
- Tbilisi State U.
)
,
G. Japaridze
(
- Clark Atlanta U.
)
,
S. Scherer
(
- Mainz U., Inst. Kernphys.
)

- Phys.Rev.D 68 (2003) 056005
•
e-Print:
- hep-ph/0302117
•
DOI:
- 10.1103/PhysRevD.68.056005

[15]

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

[16]

Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme

Yun-Hua Chen
(
- Peking U. and
- Beijing, Inst. High Energy Phys.
)
,
De-Liang Yao
(
- Peking U.
)
,
H.Q. Zheng
(
- Peking U.
)

- Phys.Rev.D 87 (2013) 054019
•
e-Print:
- 1212.1893
•
DOI:
- 10.1103/PhysRevD.87.054019

[17]

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

De-Liang Yao
(
- IAS, Julich and
- Julich, Forschungszentrum and
- JCHP, Julich
)
,
D. Siemens
(
- Ruhr U., Bochum
)
,
V. Bernard
(
- Orsay, IPN
)
,
E. Epelbaum
(
- Ruhr U., Bochum
)
,
A.M. Gasparyan
(
- Ruhr U., Bochum and
- Moscow, ITEP
)

et al.

- JHEP 05 (2016) 038
•
e-Print:
- 1603.03638
•
DOI:
- 10.1007/JHEP05(2016)038

[18]

Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look

D. Siemens
(
- Ruhr U., Bochum
)
,
V. Bernard
(
- Orsay, IPN and
- Orsay, LPT
)
,
E. Epelbaum
(
- Ruhr U., Bochum
)
,
A. Gasparyan
(
- Ruhr U., Bochum and
- Moscow, ITEP
)
,
H. Krebs
(
- Ruhr U., Bochum
)

et al.

- Phys.Rev.C 94 (2016) 1, 014620
•
e-Print:
- 1602.02640
•
DOI:
- 10.1103/PhysRevC.94.014620

[19]

Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory

D. Siemens
(
- Ruhr U., Bochum
)
,
V. Bernard
(
- Orsay, IPN
)
,
E. Epelbaum
(
- Ruhr U., Bochum
)
,
A.M. Gasparyan
(
- Moscow, ITEP and
- Ruhr U., Bochum
)
,
H. Krebs
(
- Ruhr U., Bochum
)

et al.

- Phys.Rev.C 96 (2017) 5, 055205
•
e-Print:
- 1704.08988
•
DOI:
- 10.1103/PhysRevC.96.055205

[20]

Roy–Steiner-equation analysis of pion–nucleon scattering

Martin Hoferichter
(
- Washington U., Seattle
)
,
Jacobo Ruiz de Elvira
(
- Bonn U., HISKP
)
,
Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)
,
Ulf-G. Meißner
(
- Bonn U. and
- Bonn U., HISKP and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)

- Phys.Rept. 625 (2016) 1-88
•
e-Print:
- 1510.06039
•
DOI:
- 10.1016/j.physrep.2016.02.002

[21]

Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian

A. Gasparyan
(
- Darmstadt, GSI and
- Moscow, ITEP
)
,
M.F.M. Lutz
(
- Darmstadt, GSI
)

- Nucl.Phys.A 848 (2010) 126-182
•
e-Print:
- 1003.3426
•
DOI:
- 10.1016/j.nuclphysa.2010.08.006

[22]

Toward Complete Pion Nucleon Amplitudes

V. Mathieu
(
- Indiana U. and
- Indiana U., CEEM
)
,
I.V. Danilkin
(
- Jefferson Lab
)
,
C. Fernández-Ramírez
(
- Jefferson Lab
)
,
M.R. Pennington
(
- Jefferson Lab
)
,
D. Schott
(
- Jefferson Lab and
- George Washington U.
)

et al.

- Phys.Rev.D 92 (2015) 7, 074004
•
e-Print:
- 1506.01764
•
DOI:
- 10.1103/PhysRevD.92.074004

[23]

New Insights on Low Energy $\pi N$ Scattering Amplitudes

Yu-Fei Wang
(
- Peking U. and
- Peking U., SKLNPT
)
,
De-Liang Yao
(
- Valencia U., IFIC
)
,
Han-Qing Zheng
(
- Peking U. and
- Peking U., SKLNPT and
- CICQM, Beijing
)

- Eur.Phys.J.C 78 (2018) 7, 543
•
e-Print:
- 1712.09257
•
DOI:
- 10.1140/epjc/s10052-018-6024-5

[24]

Left-hand singularities, hadron form-factors and the properties of the sigma meson

Zhiguang Xiao
(
- Peking U.
)
,
H.Q. Zheng
(
- Peking U.
)

- Nucl.Phys.A 695 (2001) 273-294
•
e-Print:
- hep-ph/0011260
•
DOI:
- 10.1016/S0375-9474(01)01100-9

[25]

The kappa resonance in s wave pi K scatterings

et al.

- Nucl.Phys.A 733 (2004) 235-261
•
e-Print:
- hep-ph/0310293
•
DOI:
- 10.1016/j.nuclphysa.2003.12.021

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