Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1905) 5/2+I (J P ) = 23 ( 25 + ) Status:∗∗∗∗Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

∆(1905) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1750 to 1800 (≈ 1770) OUR ESTIMATE
1707± 1ROENCHEN 22 DPWA Multichannel
1800± 6SOKHOYAN 15A DPWA Multichannel
1 SVARC
1752± 3± 2
14 L+P
πN → πN
1830± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1819
HUNT1795
ROENCHEN
1800± 6GUTZ
1805± 10ANISOVICH
1819
ARNDT1793
VRANA
1829
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A
1412A
0600
93

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

DOCUMENT ID

TECNCOMMENT

260 to 340 (≈ 300) OUR ESTIMATE
127± 4
ROENCHEN 22 DPWA Multichannel
290± 15SOKHOYAN 15A DPWA Multichannel
1 SVARC346± 6± 214 L+P
πN → πN
280± 60
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •253
HUNT247
ROENCHEN
290± 15GUTZ
300± 15ANISOVICH
247
ARNDT
302
VRANA
303
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A
1412A
0600
93

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
DPWA Multichannel
SPED π N → π N∆(1905) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

15 to 25 (≈ 20) OUR ESTIMATE3.7± 1.0
ROENCHEN
19 ± 2SOKHOYAN
1 SVARC
24 ± 1 ± 125 ± 8
CUTKOSKY

https://pdg.lbl.gov

Page 1TECN

2215A
1480

COMMENTDPWA Multichannel
DPWA Multichannel
L+P
πN → πN
IPWA π N → π N

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. • • •5.3
ROENCHEN
19 ± 2GUTZ
20 ± 2ANISOVICH
15ARNDT
25
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

15A1412A0693

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
SPED π N → π N

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 120 to − 30 (≈ − 45) OUR ESTIMATE− 92± 6
ROENCHEN 22 DPWA Multichannel− 45± 4SOKHOYAN 15A DPWA Multichannel
1 SVARC− 114± 1± 214 L+PπN → πN− 50± 20
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 89
ROENCHEN− 45± 4
GUTZ− 44± 5
ANISOVICH− 30ARNDT
1 Fit to the amplitudes of HOEHLER 79.

15A
1412A06

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N∆(1905) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1905) → ∆ π, P-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.10 ± 0.01
− 109 ± 7
ROENCHEN 22 DPWA Multichannel
0.19 ± 0.07
10 ± 30SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.0870
0.25 ± 0.06

720 ± 15ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1905) → ∆ π, F-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.017± 0.002
18 ± 8ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.009

64

ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1905) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.0020± 0.0002 154 ± 6
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.001− 155

ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1905) → N(1535)π
MODULUSPHASE (◦ )DOCUMENT ID

0.025± 0.010

130 ± 35

GUTZ

https://pdg.lbl.gov

Page 2TECN

14COMMENTDPWA Multichannel

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

Normalized residue in N π → ∆(1905) → ∆(1232)η
MODULUSPHASE (◦ )DOCUMENT ID

0.07± 0.02

40 ± 20GUTZ

TECN14COMMENTDPWA Multichannel∆(1905) BREIT-WIGNER MASSVALUE (MeV)

1855

DOCUMENT ID

TECNCOMMENTto 1910 (≈ 1880) OUR ESTIMATE1883 ± 19
GOLOVATCH 19 DPWA γ p → π + π − p
1 HUNT
1866 ± 919 DPWA Multichannel
1856 ± 6
SOKHOYAN 15A DPWA Multichannel
1 ARNDT
1857.8± 1.6
06 DPWA π N → π N, η N
1910 ± 30
CUTKOSKY 80 IPWA π N → π N
1905 ± 20
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1856 ± 6
1861 ± 6
1818 ± 81873 ± 77
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHAVRANA1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1905) BREIT-WIGNER WIDTHVALUE (MeV)270

DOCUMENT ID

TECNCOMMENTto 400 (≈ 330) OUR ESTIMATE

327 ± 69
GOLOVATCH 19 DPWA γ p → π + π − p1289 ± 20
HUNT19 DPWA Multichannel
325 ± 15SOKHOYAN 15A DPWA Multichannel
1 ARNDT
320.6± 8.6
06 DPWA π N → π N, η N
400 ± 100
CUTKOSKY 80 IPWA π N → π N
260 ± 20
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •325 ± 15335 ± 18278 ± 18461 ± 111
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHA
VRANA

1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1905) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1
Γ2
Γ3
Γ4
Γ5

ModeFraction (Γi /Γ)NπNππ∆(1232)π∆(1232)π , P-wave∆(1232)π , F-wave

9–15%>65%

https://pdg.lbl.gov

>48%
8–43%
40–58%

Page 3Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)Γ6Γ7Γ8Γ9Γ10Γ11Γ12N ρ , S=3/2, P-wave
N(1535)πN(1680)π , P-wave∆(1232)η
NγN γ , helicity=1/2
N γ , helicity=3/2

17–35%
<1%
5–15%
2–6%
0.012–0.036 %0.002–0.006 %0.01–0.03 %∆(1905) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

TECNCOMMENT

9–15% OUR ESTIMATE
1 HUNT
17 ± 119 DPWA Multichannel
13 ± 2SOKHOYAN 15A DPWA Multichannel
1 ARNDT12.2± 0.1
06 DPWA π N → π N, η N
8 ±3
CUTKOSKY 80 IPWA π N → π N
15 ± 2
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •13 ± 213 ± 26 ±1
9 ±1
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHA
VRANA

1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA MultichannelΓ N π π /Γtotal

Γ2 /Γ

VALUE

DOCUMENT ID

TECNCOMMENT>65% OUR ESTIMATE
0.85± 0.15

GOLOVATCH 19DPWA γ p → π + π − pΓ ∆(1232)π , P-wave /Γtotal
VALUE (%)

Γ4 /ΓDOCUMENT ID

TECNCOMMENT

8–43% OUR ESTIMATE
1 HUNT8.4± 0.5
19 DPWA Multichannel
33 ± 10SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •45 ± 1428 ± 723 ± 1
1 Statistical error only.

ANISOVICH
1 SHRESTHAVRANA12A DPWA Multichannel
12A DPWA Multichannel
00 DPWA MultichannelΓ ∆(1232)π , F-wave /Γtotal
VALUE (%)

Γ5 /ΓDOCUMENT ID

TECNCOMMENT

40–58% OUR ESTIMATE
1 HUNT49± 919 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
64± 8
12A DPWA Multichannel
44± 1
1 Statistical error only.

VRANA

https://pdg.lbl.gov

Page 400

DPWA Multichannel

Created: 5/31/2024 10:12

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

Γ N ρ , S=3/2, P-wave /Γtotal
VALUE (%)

Γ6 /ΓDOCUMENT ID

TECNCOMMENT

17–35% OUR ESTIMATE
1 HUNT26± 919 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA< 612A DPWA Multichannel
24± 1
1 Statistical error only.

VRANA00

DPWA MultichannelΓ N(1535)π /Γtotal

Γ7 /Γ

VALUE (%)

DOCUMENT ID< 1 % OUR ESTIMATE<1GUTZTECN

14COMMENTDPWA MultichannelΓ N(1680)π , P-wave /Γtotal

Γ8 /Γ

VALUE (%)

DOCUMENT ID

5–15% OUR ESTIMATE
10± 5

SOKHOYAN

TECNCOMMENT

15A DPWA MultichannelΓ ∆(1232)η /Γtotal

Γ9 /Γ

VALUE (%)

DOCUMENT ID2–6% OUR ESTIMATE4± 2

GUTZTECN

14COMMENTDPWA Multichannel∆(1905) PHOTON DECAY AMPLITUDES AT THE POLE∆(1905) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.055± 0.004− 159 ± 2
ROENCHEN 22 DPWA Multichannel
0.025± 0.005− 28 ± 12
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.053

89

ROENCHEN

15A DPWA Multichannel∆(1905) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT− 0.168± 0.020
172 ± 0.9
ROENCHEN 22 DPWA Multichannel− 0.050± 0.004
5 ± 10SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.030

80

ROENCHEN

15A DPWA Multichannel∆(1905) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1905) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

0.017 to 0.027 (≈ 0.022) OUR ESTIMATE
0.019± 0.0076
0.077± 0.010
0.025± 0.005
0.020± 0.002
0.019± 0.002

https://pdg.lbl.gov

GOLOVATCH 19
1 HUNT19
SOKHOYAN 15A
1 DUGGER
13
1 WORKMAN
12A

Page 5DPWA γ p → π + π − p
DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N
DPWA γ N → π N

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. • • •0.025± 0.005
0.025± 0.004
0.066± 0.018
0.018
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHADRECHSEL

1412A
12A07

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N∆(1905) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT− 0.055 to − 0.035 (≈ − 0.045) OUR ESTIMATE− 0.0432± 0.0173
GOLOVATCH 19 DPWA γ p → π + π − p1− 0.053 ± 0.029
HUNT19 DPWA Multichannel− 0.050 ± 0.005
SOKHOYAN 15A DPWA Multichannel
1 DUGGER− 0.049 ± 0.005
13 DPWA γ N → π N− 0.038 ± 0.004
WORKMAN
12A DPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.050 ± 0.005− 0.049 ± 0.004− 0.223 ± 0.029− 0.028
1 Statistical error only.

GUTZ
ANISOVICH
1 SHRESTHADRECHSEL

1412A
12A07

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N∆(1905) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
ROENCHENGOLOVATCH
HUNTROENCHENSOKHOYAN
GUTZ
PDG
SVARC
DUGGERANISOVICHSHRESTHA
WORKMANDRECHSEL
ARNDT
VRANA
HOEHLER
CUTKOSKY
Also
HOEHLER
Also

22191915A
15A
1414141312A
12A
12A
070600938079EPJ A58 229
PL B788 371
PR C99 055205
EPJ A51 70
EPJ A51 95
EPJ A50 74
CP C38 070001
PR C89 045205
PR C88 065203
EPJ A48 15
PR C86 055203
PR C86 015202
EPJ A34 69
PR C74 045205
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+)
E. Golovatch et al.
(CLAS Collab.)
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)
M. Dugger et al.
(JLab CLAS Collab.)
A.V. Anisovich et al.
(BONN, PNPI)
M. Shrestha, D.M. Manley(KSU)
R. Workman et al.
(GWU)
D. Drechsel, S.S. Kamalov, L. Tiator(MAINZ, JINR)
R.A. Arndt et al.
(GWU)
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 6Created: 5/31/2024 10:12