Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1950) 7/2+I (J P ) = 23 ( 27 + ) Status:∗∗∗∗

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

∆(1950) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1870 to 1890 (≈ 1880) OUR ESTIMATE
1875± 1ROENCHEN 22 DPWA Multichannel
1888± 4SOKHOYAN 15A DPWA Multichannel
1 SVARC
1877± 2± 1
14 L+PπN → πN
1890± 15
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1871
HUNT1874
ROENCHEN
1888± 4GUTZ
1890± 4ANISOVICH
1876
ARNDT
1910
VRANA
1878
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
ARGD π N → π N−2×IMAGINARY PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

220 to 260 (≈ 240) OUR ESTIMATE
166± 2
ROENCHEN 22 DPWA Multichannel
245± 8SOKHOYAN 15A DPWA Multichannel
1 SVARC
223± 4± 114 L+P
πN → πN
260± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •206
HUNT239
ROENCHEN
245± 8GUTZ
243± 8ANISOVICH
227
ARNDT
230
VRANA
230
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
ARGD π N → π N∆(1950) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

44 to 60 (≈ 52) OUR ESTIMATE27± 1ROENCHEN
58± 2
SOKHOYAN
1 SVARC44± 150± 7
CUTKOSKY

https://pdg.lbl.gov

Page 1TECN

2215A1480

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. • • •56
ROENCHEN
58± 2
GUTZ
58± 2
ANISOVICH
53
ARNDT47
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

15A
1412A0693DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
ARGD π N → π N

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 40 to − 24 (≈ − 32) OUR ESTIMATE
1.1± 1.0
ROENCHEN 22 DPWA Multichannel− 24 ± 3
SOKHOYAN 15A DPWA Multichannel
1 SVARC− 39 ± 1 ± 1
14 L+PπN → πN− 33 ± 8
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 33
ROENCHEN− 24 ± 3
GUTZ− 24 ± 3
ANISOVICH− 31
ARNDT− 32
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

15A
1412A0693

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
ARGD π N → π N∆(1950) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1950) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.020± 0.002− 40 ± 4
ROENCHEN 22 DPWA Multichannel
0.05 ± 0.01
− 65 ± 25
ANISOVICH
12A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •
0.031

− 87

ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1950) → ∆ π, F-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.30± 0.27
166 ± 1ROENCHEN 22 DPWA Multichannel
0.12± 0.04
undefined
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.540.12± 0.04

131
12 ± 10ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1950) → ∆ π, H-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.051± 0.004− 11 ± 1
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.033− 97

https://pdg.lbl.gov

ROENCHEN

Page 2

15A 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 → ∆(1950) → ∆(1232)η
MODULUSPHASE (◦ )DOCUMENT ID

0.035± 0.005

90 ± 25

GUTZTECN

14COMMENTDPWA Multichannel∆(1950) BREIT-WIGNER MASSVALUE (MeV)1915

DOCUMENT ID

TECNCOMMENTto 1950 (≈ 1930) OUR ESTIMATE1943 ± 18
GOLOVATCH 19 DPWA γ p → π + π − p11913 ± 4
HUNT
19 DPWA Multichannel
1917 ± 4
ANISOVICH
17 DPWA Multichannel
1 ARNDT
1921.3± 0.2
06 DPWA π N → π N, η N
1950 ± 15
CUTKOSKY 80 IPWA π N → π N
1913 ± 8
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1917 ± 41917 ± 41915 ± 6
1918 ± 1
1936 ± 5
1 Statistical error only.

SOKHOYANGUTZANISOVICH
1 SHRESTHAVRANA15A
1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1950) BREIT-WIGNER WIDTHVALUE (MeV)235

DOCUMENT ID

TECNCOMMENTto 335 (≈ 285) OUR ESTIMATE

230 ± 88
GOLOVATCH 19 DPWA γ p → π + π − p1
241 ± 10HUNT
19 DPWA Multichannel
251 ± 8ANISOVICH
17 DPWA Multichannel
1 ARNDT271.1± 1.1
06 DPWA π N → π N, η N
340 ± 50
CUTKOSKY 80 IPWA π N → π N
224 ± 10HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •251 ± 8251 ± 8
246 ± 10259 ± 4245 ± 12
1 Statistical error only.

SOKHOYAN
GUTZ
ANISOVICH
1 SHRESTHA
VRANA

15A
1412A
12A00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1950) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1
Γ2
Γ3
Γ4

ModeFraction (Γi /Γ)Nπ
ΣKNππ∆(1232)π , F-wave

35–45 %

https://pdg.lbl.gov

0.3–0.5 %37–77 %
1–9 %Page 3Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)Γ5Γ6Γ7Γ8Γ9N(1680)π , P-wave∆(1232)η
NγN γ , helicity=1/2
N γ , helicity=3/2

3–9 %< 0.6 %
0.06–0.14 %0.03–0.05 %0.04–0.09 %∆(1950) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

TECNCOMMENT

35–45 % OUR ESTIMATE
1 HUNT38±2
19 DPWA Multichannel
46±2
ANISOVICH
17 DPWA Multichannel
1 ARNDT47.1 ± 0.1
06 DPWA π N → π N, η N
39±4
CUTKOSKY 80 IPWA π N → π N
38±2HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •0.046± 0.002
46±245±245.6 ± 0.4
44±1
1 Statistical error only.

SOKHOYAN
GUTZ
ANISOVICH
1 SHRESTHA
VRANA

15A
1412A
12A00

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

Γ3 /Γ

VALUE (%)

DOCUMENT ID

TECNCOMMENT57± 20

GOLOVATCH 19

DPWA γ p → π + π − pDOCUMENT ID

TECNΓ Σ K /Γtotal
VALUE (%)

Γ2 /ΓCOMMENT0.6± 0.2
ANISOVICH
17 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.4± 0.1

ANISOVICH

12A DPWA MultichannelΓ ∆(1232)π , F-wave /Γtotal
VALUE (%)

Γ4 /ΓDOCUMENT ID

TECNCOMMENT

5 ±3
ANISOVICH
17 DPWA Multichannel
1 SHRESTHA
8 ±1
12A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •5 ±4
2.8± 1.4
36 ± 11 Statistical error only.

SOKHOYAN
ANISOVICH
VRANA

15A DPWA Multichannel
12A DPWA Multichannel
00 DPWA MultichannelΓ N(1680)π , P-wave /Γtotal

Γ5 /Γ

VALUE (%)

DOCUMENT ID

6± 3

SOKHOYAN

https://pdg.lbl.gov

Page 4TECNCOMMENT

15A DPWA Multichannel

Created: 5/31/2024 10:12

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

Γ6 /ΓDOCUMENT ID

TECNCOMMENT0.3± 0.3
ANISOVICH
17 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •<1GUTZ

14DPWA Multichannel∆(1950) PHOTON DECAY AMPLITUDES AT THE POLE∆(1950) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT− 0.031± 0.002− 81 ± 4
ROENCHEN 22 DPWA Multichannel− 0.067± 0.004− 10 ± 5
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.068− 19ROENCHEN

15A DPWA Multichannel∆(1950) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT− 0.045± 0.002− 89 ± 2
ROENCHEN 22 DPWA Multichannel− 0.095± 0.004− 10 ± 5
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.084− 19

ROENCHEN

15A DPWA Multichannel∆(1950) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1950) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT− 0.075 to − 0.065 (≈ − 0.070) OUR ESTIMATE− 0.0698± 0.0141
GOLOVATCH 19 DPWA γ p → π + π − p1− 0.047 ± 0.002
HUNT
19 DPWA Multichannel− 0.067 ± 0.005
ANISOVICH
17 DPWA Multichannel− 0.083 ± 0.004
WORKMAN
12A DPWA γ N → N π• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.067 ± 0.005− 0.067 ± 0.005− 0.071 ± 0.004− 0.065 ± 0.001− 0.094
1 Statistical error only.

SOKHOYAN
GUTZ
ANISOVICH
1 SHRESTHADRECHSEL

15A
1412A
12A07

DPWA MultichannelDPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N∆(1950) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT− 0.100 to − 0.080 (≈ − 0.090) OUR ESTIMATE− 0.1181± 0.0193− 0.074 ± 0.002− 0.094 ± 0.004− 0.096 ± 0.004

https://pdg.lbl.gov

GOLOVATCH 19
1 HUNT19
ANISOVICH
17
WORKMAN12APage 5

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

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. • • •− 0.094 ± 0.004− 0.094 ± 0.004− 0.094 ± 0.005− 0.083 ± 0.001− 0.121
1 Statistical error only.

SOKHOYAN
GUTZ
ANISOVICH
1 SHRESTHADRECHSEL

15A
1412A
12A
07

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N∆(1950) REFERENCES
ROENCHENGOLOVATCH
HUNT
ANISOVICH
ROENCHENSOKHOYAN
GUTZ
PDG
SVARC
ANISOVICHSHRESTHAWORKMANDRECHSEL
ARNDT
VRANA
HOEHLER
CUTKOSKY
Also
HOEHLER
Also

2219191715A
15A
14141412A
12A
12A
070600938079EPJ A58 229
PL B788 371
PR C99 055205
PL B766 357
EPJ A51 70
EPJ A51 95
EPJ A50 74
CP C38 070001
PR C89 045205
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
A.V. Anisovich et al.
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)
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