Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)

I (J P ) = 23 ( 21 − ) Status:∆(1900) 1/2−∗∗∗

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

∆(1900) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1830 to 1900 (≈ 1865) OUR ESTIMATE
1845± 20SOKHOYAN 15A DPWA Multichannel
1 SVARC
1865± 35 ± 1914 L+P
πN → πN
1870± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •
1957
HUNT
1845± 20GUTZ
1845± 25
ANISOVICH
1795
VRANA
1780
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

191412A0093

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
SPED π N → π N−2×IMAGINARY PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

180 to 300 (≈ 240) OUR ESTIMATE
295± 35SOKHOYAN 15A DPWA Multichannel
1 SVARC
187± 50 ± 19
14 L+P
πN → πN
180± 50
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •447
HUNT295± 35
GUTZ300± 45
ANISOVICH58VRANA
1 Fit to the amplitudes of HOEHLER 79.

191412A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1900) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

TECNCOMMENT

8 to 14 (≈ 11) OUR ESTIMATE
11± 2
SOKHOYAN 15A DPWA Multichannel
1 SVARC11± 4 ± 214 L+P
πN → πN
10± 3
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •11± 2
GUTZ
10± 3ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

https://pdg.lbl.gov

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Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 115± 20
SOKHOYAN 15A DPWA Multichannel
1 SVARC20± 27 ± 19
14 L+P
πN → πN+ 20± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 115± 20
GUTZ− 125± 20ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

14 DPWA Multichannel
12A DPWA Multichannel∆(1900) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1900) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

0.07± 0.02

− 50 ± 30

ANISOVICHTECNCOMMENT

12A DPWA Multichannel

Normalized residue in N π → ∆(1900) → ∆ π, D-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.18± 0.10
105 ± 25SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •+ 0.08
0.12 −0.05

110 ± 20

ANISOVICH

12A DPWA Multichannel

Normalized residue in N π → ∆(1900) → ∆(1232)η
MODULUSPHASE (◦ )DOCUMENT ID

0.013± 0.006

undefined

GUTZ

TECN

14COMMENTDPWA Multichannel

Normalized residue in N π → ∆(1900) → N(1440)πMODULUSPHASE (◦ )DOCUMENT ID

0.11± 0.06

115 ± 30SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel

Normalized residue in N π → ∆(1900) → N(1520)π
MODULUSPHASE (◦ )DOCUMENT ID

0.06± 0.03

undefined

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1900) BREIT-WIGNER MASSVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1840 to 1920 (≈ 1860) OUR ESTIMATE
1 HUNT
1989± 2219 DPWA Multichannel
1840± 20SOKHOYAN 15A DPWA Multichannel
1890± 50
CUTKOSKY 80 IPWA π N → π N
1908± 30
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1840± 201840± 301868± 121802± 87
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAVRANA

https://pdg.lbl.gov

Page 21412A
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DPWA Multichannel
DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1900) BREIT-WIGNER WIDTHVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

180 to 320 (≈ 250) OUR ESTIMATE
1 HUNT457± 60
19 DPWA Multichannel
295± 30SOKHOYAN 15A DPWA Multichannel
170± 50
CUTKOSKY 80 IPWA π N → π N
140± 40
HOEHLER79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •295± 30300± 45234± 2748± 45
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAVRANA

1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1900) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1Γ2
Γ3
Γ4
Γ5
Γ6
Γ7
Γ8
Γ9
Γ10
Γ11ModeFraction (Γi /Γ)Nπ
ΣKNππ∆(1232)π , D-waveNρN ρ , S=1/2, S-wave
N ρ , S=3/2, D-wave
N(1440)πN(1520)π∆(1232)η
N γ , helicity=1/2

4–12%
seen> 52%
30–70%
22–60 %
11–35%
11–25%3–32%2–10%< 2%0.06–0.43 %∆(1900) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

TECNCOMMENT

4–12% OUR ESTIMATE
1 HUNT
3.7± 0.8
19 DPWA Multichannel
7 ± 2
SOKHOYAN 15A DPWA Multichannel
10 ± 3
CUTKOSKY 80 IPWA π N → π N
8 ± 4
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •
7 ± 2
7 ± 3
8 ± 1
33 ± 10
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAVRANA

https://pdg.lbl.gov

Page 31412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
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Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)Γ ∆(1232)π , D-wave /Γtotal
VALUE (%)

Γ4 /ΓDOCUMENT ID

TECNCOMMENT

30–70% OUR ESTIMATE
1 HUNT42± 819 DPWA Multichannel
50± 20SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •5015 +− 1056± 628± 1
1 Statistical error only.

ANISOVICH
1 SHRESTHAVRANA12A DPWA Multichannel
12A DPWA Multichannel
00 DPWA MultichannelΓ N ρ , S=1/2, S-wave /Γtotal
VALUE (%)

Γ6 /ΓDOCUMENT ID

TECNCOMMENT

11–35% OUR ESTIMATE
1 HUNT23± 1219 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
12± 4
12A DPWA Multichannel
30± 2
1 Statistical error only.

VRANA00

DPWA MultichannelΓ N ρ , S=3/2, D-wave /Γtotal
VALUE (%)

Γ7 /ΓDOCUMENT ID

TECNCOMMENT

11–25% OUR ESTIMATE
1 HUNT18± 7
19 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
23± 5
12A DPWA Multichannel
5± 1
1 Statistical error only.

VRANA00

DPWA MultichannelΓ N(1440)π /Γtotal
VALUE (%)

Γ8 /ΓDOCUMENT ID

TECNCOMMENT

3–32% OUR ESTIMATE
1 HUNT12± 919 DPWA Multichannel
20± 12SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA< 112A DPWA Multichannel
4± 1VRANA00

DPWA Multichannel

1 Statistical error only.

Γ N(1520)π /Γtotal

Γ9 /Γ

VALUE (%)

DOCUMENT ID

2–10% OUR ESTIMATE
6± 4

SOKHOYANTECNCOMMENT

15A DPWA MultichannelΓ ∆(1232)η /Γtotal

Γ10 /ΓVALUE (%)

DOCUMENT ID< 2% OUR ESTIMATE
1± 1

GUTZ

https://pdg.lbl.gov

Page 4TECN

14COMMENTDPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1900) PHOTON DECAY AMPLITUDES AT THE POLE∆(1900) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

0.064± 0.015

60 ± 20SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1900) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1900) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT

0.212± 0.029
19 DPWA Multichannel
0.065± 0.015
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.057± 0.014− 0.082± 0.009
1 Statistical error only.

GUTZ
1 SHRESTHA

14 DPWA Multichannel
12A DPWA Multichannel∆(1900) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
HUNTSOKHOYAN
GUTZ
PDG
SVARC
ANISOVICHSHRESTHAVRANAHOEHLER
CUTKOSKY
Also
HOEHLER
Also

1915A
14141412A
12A
00938079

PR C99 055205
EPJ A51 95
EPJ A50 74
CP C38 070001
PR C89 045205
EPJ A48 15
PR C86 055203
PRPL 328 181
π N Newsletter 9 1
Toronto Conf. 19
PR D20 2839
PDAT 12-1
Toronto Conf. 3

https://pdg.lbl.gov

B.C. Hunt, D.M. Manley
V. Sokhoyan et al.
(CBELSA/TAPS Collab.)
E. Gutz et al.
(CBELSA/TAPS Collab.)
K. Olive et al.
(PDG Collab.)
A. Svarc et al.
(RBI Zagreb, UNI Tuzla)
A.V. Anisovich et al.
(BONN, PNPI)
M. Shrestha, D.M. Manley(KSU)
T.P. Vrana, S.A. Dytman, T.-S.H. Lee(PITT, ANL)
G. Hohler(KARL)
R.E. Cutkosky et al.
(CMU, LBL) IJP
R.E. Cutkosky et al.
(CMU, LBL) IJP
G. Hohler et al.
(KARLT) IJP
R. Koch(KARLT) IJP

Page 5Created: 5/31/2024 10:12