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

I (J P ) = 23 ( 23 − ) Status:∆(1940) 3/2−∗∗OMITTED FROM SUMMARY TABLE∆(1940) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1850 to 2050 (≈ 1950) OUR ESTIMATE
2040± 50SOKHOYAN 15A DPWA Multichannel
1 SVARC
1878± 11± 5.514 L+P
πN → πN
1900± 100
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •2139
HUNT
2040± 50
GUTZ1001990 +ANISOVICH− 50
1 Fit to the amplitudes of HOEHLER 79.

1914

DPWA Multichannel
DPWA Multichannel

12A DPWA Multichannel−2×IMAGINARY PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

200 to 500 (≈ 350) OUR ESTIMATE
450± 90SOKHOYAN 15A DPWA Multichannel
1 SVARC
212± 21 ± 614 L+P
πN → πN
200± 60
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •400
HUNT
450± 90
GUTZ
450± 90
ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

19 DPWA Multichannel
14 DPWA Multichannel
12A DPWA Multichannel∆(1940) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

TECNCOMMENT

4 to 10 (≈ 7) OUR ESTIMATE
6± 3
SOKHOYAN 15A DPWA Multichannel
1 SVARC9± 1± 114 L+P
πN → πN
8± 3
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •
4± 3
GUTZ
4± 4
ANISOVICH
1 Fit to the amplitudes of HOEHLER 79.

14 DPWA Multichannel
12A DPWA Multichannel

PHASE θVALUE (◦ )DOCUMENT ID

150 to 250 (≈ 200) OUR ESTIMATE− 90± 35
SOKHOYAN
1 SVARC
140± 7± 7135± 45
CUTKOSKY

https://pdg.lbl.gov

Page 1TECNCOMMENT

15A DPWA Multichannel
14 L+PπN → πN
80 IPWA π N → π N

Created: 5/31/2024 10:13

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. • • •− 50± 35GUTZ
1 Fit to the amplitudes of HOEHLER 79.

14DPWA Multichannel∆(1940) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1940) → ∆(1232)η
MODULUSPHASE (◦ )DOCUMENT ID<0.01

undefined

GUTZ

TECN

14COMMENTDPWA Multichannel

Normalized residue in N π → ∆(1940) → N(1535)π
MODULUSPHASE (◦ )DOCUMENT ID<0.03

undefined

GUTZ

TECN

14COMMENTDPWA Multichannel

Normalized residue in N π → ∆(1940) → ∆(1232)π, S-wave
MODULUSPHASE (◦ )DOCUMENT ID

0.12± 0.06

120 ± 45SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel

Normalized residue in N π → ∆(1940) → ∆(1232)π, D-wave
MODULUSPHASE (◦ )DOCUMENT ID

0.06± 0.04

− 80 ± 35

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1940) BREIT-WIGNER MASSVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1940 to 2060 (≈ 2000) OUR ESTIMATE
1 HUNT2137± 1319 DPWA Multichannel
2050± 40SOKHOYAN 15A DPWA Multichannel
1940± 100
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •2050± 40105
1995 +− 60
1 Statistical error only.

GUTZ

14

DPWA Multichannel

ANISOVICH

12A DPWA Multichannel∆(1940) BREIT-WIGNER WIDTHVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

300 to 500 (≈ 400) OUR ESTIMATE
1 HUNT
400± 43
19 DPWA Multichannel
450± 70
SOKHOYAN 15A DPWA Multichannel
200± 100
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •450± 70450± 100
1 Statistical error only.

GUTZ
ANISOVICH

https://pdg.lbl.gov

Page 214 DPWA Multichannel
12A DPWA Multichannel

Created: 5/31/2024 10:13

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1940) DECAY MODESΓ1Γ2Γ3Γ4Γ5Γ6Γ7Γ8Γ9Γ10Γ11Γ12Mode

Fraction (Γi /Γ)NπNππ∆(1232)π∆(1232)π , S-wave∆(1232)π , D-wave
N ρ , S=3/2 , S-wave
N(1535)π
N a0 (980)∆(1232)η
NγN γ , helicity=1/2
N γ , helicity=3/2

1–20 %>81 %
6–85 %
1–65 %
5–20 %
75–85 %
2–14 %
seen
4–16 %
0.06–2.53 %0.06–1.51 %0–1.02 %∆(1940) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

TECNCOMMENT

1–20 % OUR ESTIMATE
1 HUNT
16± 4
19 DPWA Multichannel
2± 1
SOKHOYAN 15A DPWA Multichannel
5± 2
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •2± 1
1 Statistical error only.

GUTZ

14DPWA MultichannelΓ ∆(1232)π , S-wave /Γtotal
VALUE (%)

1–65 % OUR ESTIMATE< 0.9
46 ± 20
1 Statistical error only.

Γ4 /Γ
DOCUMENT ID

1 HUNTSOKHOYAN

TECNCOMMENT

19 DPWA Multichannel
15A DPWA MultichannelΓ ∆(1232)π , D-wave /Γtotal
VALUE (%)

5–20 % OUR ESTIMATE< 6.312 ± 7
1 Statistical error only.

Γ5 /Γ
DOCUMENT ID

1 HUNTSOKHOYAN

TECNCOMMENT

19 DPWA Multichannel
15A DPWA MultichannelΓ N ρ , S=3/2 , S-wave /Γtotal
VALUE (%)

75–85 % OUR ESTIMATE
80± 5
1 Statistical error only.

https://pdg.lbl.gov

Γ6 /Γ
DOCUMENT ID

1 HUNTPage 3TECN

19COMMENTDPWA Multichannel

Created: 5/31/2024 10:13

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)Γ N(1535)π /Γtotal
VALUE (%)

Γ7 /ΓDOCUMENT ID

TECNCOMMENT

2–14 % OUR ESTIMATE
8± 6
GUTZ
14 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •2± 1

HORN

08A DPWA MultichannelΓ N a0 (980) /Γtotal
VALUE (%)

Γ8 /ΓDOCUMENT ID

TECNCOMMENT

seen OUR ESTIMATE• • • We do not use the following data for averages, fits, limits, etc. • • •
2± 1

HORN

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

Γ9 /ΓDOCUMENT ID

TECNCOMMENT

4–16 % OUR ESTIMATE
10± 6GUTZ
14 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •4± 2

HORN

08A DPWA Multichannel∆(1940) PHOTON DECAY AMPLITUDES AT THE POLE∆(1940) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID+ 0.120
0.170 −
0.100

− 10 ± 30

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1940) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

0.150± 0.080− 10 ± 30

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1940) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1940) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT
0.1614± 0.0031
19 DPWA Multichannel+0.1100.170 − 0.080
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •+ 0.110
0.170 −0.080

GUTZ14DPWA Multichannel

1 Statistical error only.

∆(1940) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT− 0.209± 0.023
19 DPWA Multichannel
0.150± 0.080
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.150± 0.080

https://pdg.lbl.gov

GUTZ

Page 414

DPWA Multichannel

Created: 5/31/2024 10:13

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

1 Statistical error only.

∆(1940) REFERENCESHUNTSOKHOYAN
GUTZ
SVARC
ANISOVICH
HORN
Also
CUTKOSKY
Also
HOEHLER

1915A
141412A08A8079

PR C99 055205
EPJ A51 95
EPJ A50 74
PR C89 045205
EPJ A48 15
EPJ A38 173
PRL 101 202002
Toronto Conf. 19
PR D20 2839
PDAT 12-1

https://pdg.lbl.gov

B.C. Hunt, D.M. Manley
V. Sokhoyan et al.
E. Gutz et al.
A. Svarc et al.
A.V. Anisovich et al.
I. Horn et al.
I. Horn et al.
R.E. Cutkosky et al.
R.E. Cutkosky et al.
G. Hohler et al.

Page 5(CBELSA/TAPS Collab.)(CBELSA/TAPS Collab.)(RBI Zagreb, UNI Tuzla)(BONN, PNPI)(CB-ELSA Collab.)(CB-ELSA Collab.)(CMU, LBL) IJP(CMU, LBL)
(KARLT)

Created: 5/31/2024 10:13