Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1920) 3/2+I (J P ) = 23 ( 23 + ) Status:∗∗∗

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

∆(1920) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1850 to 1950 (≈ 1900) OUR ESTIMATE
1883± 2
ROENCHEN 22 DPWA Multichannel
1875± 30SOKHOYAN 15A DPWA Multichannel
1 SVARC
1906± 10 ± 2
14 L+PπN → πN
1900± 80
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1910
HUNT1715
ROENCHEN
1875± 30GUTZ
1890± 30
ANISOVICH
1880
VRANA
1900
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A
1412A0093

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

DOCUMENT ID

TECNCOMMENT

200 to 400 (≈ 300) OUR ESTIMATE844± 5ROENCHEN 22 DPWA Multichannel
300± 40SOKHOYAN 15A DPWA Multichannel
1 SVARC
310± 20 ± 1114 L+P
πN → πN
300± 100
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •472
HUNT882
ROENCHEN
300± 40
GUTZ
300± 60
ANISOVICH120VRANA
1 Fit to the amplitudes of HOEHLER 79.

1915A
1412A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1920) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

TECNCOMMENT

15 to 35 (≈ 25) OUR ESTIMATE
41± 3
ROENCHEN 22 DPWA Multichannel
16± 6
SOKHOYAN 15A DPWA Multichannel
1 SVARC26± 3 ± 2
14 L+P
πN → πN24± 4
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •38

ROENCHEN

https://pdg.lbl.gov

Page 1

15A DPWA Multichannel

Created: 5/31/2024 10:12

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

16± 6
GUTZ
17± 8
ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

14 DPWA Multichannel
12A DPWA Multichannel

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 150 to − 50 (≈ − 100) OUR ESTIMATE
11± 4
ROENCHEN 22 DPWA Multichannel− 50± 25SOKHOYAN 15A DPWA Multichannel
1 SVARC− 130± 5± 314 L+P
πN → πN− 150± 30
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •146
ROENCHEN− 50± 25
GUTZ
− 40± 20
ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

15A DPWA Multichannel
14 DPWA Multichannel
12A DPWA Multichannel∆(1920) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1920) → ∆ η
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.15± 0.04
70 ± 20GUTZ
14 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.17± 0.08

70 ± 20

ANISOVICH

12A DPWA Multichannel

Normalized residue in N π → ∆(1920) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.20± 0.01
104 ± 2
ROENCHEN 22 DPWA Multichannel
0.09± 0.03
80 ± 40
ANISOVICH
12A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.17− 35ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1920) → ∆ π, P-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.057± 0.003− 48 ± 3
ROENCHEN 22 DPWA Multichannel
0.20 ± 0.08
− 105 ± 25
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.069
0.20 ± 0.12

131
− 120 ± 30

ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1920) → ∆ π, F-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.020± 0.002
147 ± 4
ROENCHEN 22 DPWA Multichannel
0.37 ± 0.10
− 90 ± 20
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.013
0.28 ± 0.07

− 115
− 95 ± 35

https://pdg.lbl.gov

ROENCHENANISOVICH

Page 2

15A DPWA Multichannel
12A DPWA Multichannel

Created: 5/31/2024 10:12

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

Normalized residue in N π → ∆(1920) → N(1535)π
MODULUSPHASE (◦ )DOCUMENT ID

0.03± 0.02

35 ± 45

GUTZ

TECN

14COMMENTDPWA Multichannel

Normalized residue in N π → ∆(1920) → N a0 (980)
MODULUSPHASE (◦ )DOCUMENT ID

0.03± 0.02

− 85 ± 45

GUTZ

TECN

14COMMENTDPWA Multichannel

Normalized residue in N π → ∆(1920) → N(1440)πMODULUSPHASE (◦ )DOCUMENT ID

0.04± 0.03

undefined

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel

Normalized residue in N π → ∆(1920) → N(1520)π, S-wave
MODULUSPHASE (◦ )DOCUMENT ID

0.05± 0.05

undefined

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1920) BREIT-WIGNER MASSVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1870 to 1970 (≈ 1920) OUR ESTIMATE
1976± 49
HUNT
19 DPWA Multichannel
1880± 30SOKHOYAN 15A DPWA Multichannel
1 SHRESTHA
2146± 32
12A DPWA Multichannel
1920± 80
CUTKOSKY 80 IPWA π N → π N
1868± 10HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1880± 301900± 302057± 11889± 100
1 Statistical error only.

GUTZ
ANISOVICHPENNER
VRANA

1412A02C00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1920) BREIT-WIGNER WIDTHVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

240 to 360 (≈ 300) OUR ESTIMATE509± 170
HUNT19 DPWA Multichannel
300± 40SOKHOYAN 15A DPWA Multichannel
1 SHRESTHA
400± 80
12A DPWA Multichannel
300± 100
CUTKOSKY 80 IPWA π N → π N
220± 80
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •300± 40310± 60525± 32123± 53
1 Statistical error only.

GUTZ
ANISOVICHPENNER
VRANA

https://pdg.lbl.gov

Page 31412A02C00DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1920) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1
Γ2
Γ3
Γ4
Γ5
Γ6
Γ7
Γ8
Γ9
Γ10
Γ11
Γ12
Γ13
Γ14ModeFraction (Γi /Γ)Nπ
ΣKNππ∆(1232)π∆(1232)π , P-wave∆(1232)π , F-wave
N(1440)π , P-wave
N(1520)π , S-wave
N(1535)π
N a0 (980)∆(1232)η
NγN γ , helicity=1/2N γ , helicity=3/2

5–20 %
2–6 %
>46 %
>46 %
2–28 %
44–72 %
4–86 %<5 %<2 %seen
5–17 %
0.01–0.84 %0.0–0.42 %0.01–0.42 %∆(1920) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

TECNCOMMENT

5–20 % OUR ESTIMATE
1 HUNT10.5± 3.0
19 DPWA Multichannel
8 ±4
SOKHOYAN 15A DPWA Multichannel
20 ± 5
CUTKOSKY 80 IPWA π N → π N
14 ± 4
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •8 ±48 ±416 ± 415 ± 15 ±4
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAPENNER
VRANA

1412A
12A
02C00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA MultichannelΓ Σ K /Γtotal
VALUE (%)

Γ2 /ΓDOCUMENT ID

TECNCOMMENT

2–6 % OUR ESTIMATE
4 ±2
ANISOVICH
12A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •2.1± 0.3

PENNER

02C DPWA MultichannelΓ ∆(1232)π , P-wave /Γtotal
VALUE (%)

2–28 % OUR ESTIMATE< 1.618 ± 10

https://pdg.lbl.gov

Γ5 /Γ
DOCUMENT ID

1 HUNTSOKHOYAN

Page 4TECNCOMMENT

19 DPWA Multichannel
15A DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)• • • We do not use the following data for averages, fits, limits, etc. • • •22 ± 127 ± 541 ± 3
1 Statistical error only.

ANISOVICH
1 SHRESTHAVRANA12A DPWA Multichannel
12A DPWA Multichannel
00 DPWA MultichannelΓ ∆(1232)π , F-wave /ΓtotalVALUE (%)Γ6 /Γ
DOCUMENT ID

TECNCOMMENT

44–72 % OUR ESTIMATE
58± 14SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •45± 20

ANISOVICH

12A DPWA MultichannelΓ N(1440)π , P-wave /Γtotal
VALUE (%)

Γ7 /ΓDOCUMENT ID

TECNCOMMENT

4–86 % OUR ESTIMATE
1 HUNT
77± 919 DPWA Multichannel< 4SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA<2012A DPWA Multichannel
53± 8
1 Statistical error only.

VRANA00

DPWA MultichannelΓ N(1520)π , S-wave /Γtotal

Γ8 /Γ

VALUE (%)

DOCUMENT ID<5 OUR ESTIMATE<5SOKHOYANTECNCOMMENT

15A DPWA MultichannelΓ N(1535)π /Γtotal

Γ9 /Γ

VALUE (%)

DOCUMENT ID<2 OUR ESTIMATE<2GUTZTECN

14COMMENTDPWA MultichannelΓ N a0 (980) /Γtotal
VALUE (%)

Γ10 /Γ
DOCUMENT ID

TECNCOMMENT

seen OUR ESTIMATE• • • We do not use the following data for averages, fits, limits, etc. • • •4± 2HORN

08A DPWA MultichannelΓ ∆(1232)η /Γtotal
VALUE (%)

Γ11 /Γ
DOCUMENT ID

TECNCOMMENT

5–17 % OUR ESTIMATE
11± 6
GUTZ
14 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •15± 8

ANISOVICH

https://pdg.lbl.gov

Page 5

12A DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1920) PHOTON DECAY AMPLITUDES AT THE POLE∆(1920) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.138± 0.006− 8.9 ± 2.0
ROENCHEN 22 DPWA Multichannel
0.110± 0.030− 50 ± 20
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.192

46

ROENCHEN

15A DPWA Multichannel∆(1920) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.252± 0.007
14 ± 2
ROENCHEN 22 DPWA Multichannel− 0.100± 0.040
0 ± 20SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.522

67

ROENCHEN

15A DPWA Multichannel∆(1920) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1920) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT− 0.028± 0.010
19 DPWA Multichannel
0.110± 0.030
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.110± 0.030+ 0.0300.130 −0.060
0.051± 0.010− 0.007
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAPENNER

14DPWA Multichannel

12A DPWA Multichannel
12A DPWA Multichannel
02D DPWA Multichannel∆(1920) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT− 0.043± 0.014
19 DPWA Multichannel− 0.105± 0.035
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.105± 0.035+ 0.025− 0.115 −0.050
0.017± 0.015− 0.001
1 Statistical error only.

https://pdg.lbl.govGUTZANISOVICH
1 SHRESTHAPENNER

Page 614DPWA Multichannel

12A DPWA Multichannel
12A DPWA Multichannel
02D DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1920) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
ROENCHEN
HUNTROENCHENSOKHOYAN
GUTZ
PDG
SVARC
ANISOVICHSHRESTHA
HORN
Also
PENNERPENNERVRANAHOEHLER
CUTKOSKY
Also
HOEHLER
Also

221915A
15A
14141412A
12A
08A
02C02D00938079

EPJ A58 229
PR C99 055205
EPJ A51 70
EPJ A51 95
EPJ A50 74
CP C38 070001
PR C89 045205
EPJ A48 15
PR C86 055203
EPJ A38 173
PRL 101 202002
PR C66 055211
PR C66 055212
PRPL 328 181
π N Newsletter 9 1
Toronto Conf. 19
PR D20 2839
PDAT 12-1
Toronto Conf. 3

https://pdg.lbl.gov

D. Roenchen et al.
(JULI, GWU, BONN+)
B.C. Hunt, D.M. Manley
D. Roenchen et al.
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)
I. Horn et al.
(CB-ELSA Collab.)
I. Horn et al.
(CB-ELSA Collab.)
G. Penner, U. Mosel(GIES)
G. Penner, U. Mosel(GIES)
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 7Created: 5/31/2024 10:12