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

I (J P ) = 23 ( 25 − ) Status:∆(1930) 5/2−∗∗∗

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

∆(1930) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1820 to 1880 (≈ 1850) OUR ESTIMATE
1821± 2
ROENCHEN 22 DPWA Multichannel
1 SVARC
1848± 9± 1914 L+P
πN → πN
1890± 50
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1863
HUNT1836
ROENCHEN
2001
ARNDT1883
VRANA1850
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A060093

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

300 to 450 (≈ 320) OUR ESTIMATE447± 7
ROENCHEN 22 DPWA Multichannel
1 SVARC
321± 17 ± 7
14 L+P
πN → πN
260± 60
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •260
HUNT724
ROENCHEN387
ARNDT250
VRANA180
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A0600
93

DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
DPWA Multichannel
SPED π N → π N∆(1930) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

TECNCOMMENT

8 to 20 (≈ 14) OUR ESTIMATE
15± 2
ROENCHEN 22 DPWA Multichannel
1 SVARC9± 1 ± 114 L+P
πN → πN
18± 6
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •34ROENCHEN
7ARNDT
20
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

https://pdg.lbl.gov

Page 115A DPWA Multichannel
06 DPWA π N → π N, η N
93 SPED π N → π N

Created: 5/31/2024 10:12

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

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 100 to − 10 (≈ − 50) OUR ESTIMATE− 108± 5
ROENCHEN 22 DPWA Multichannel
1− 37± 3± 7
SVARC14 L+PπN → πN− 20± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 155
ROENCHEN− 12
ARNDT
1 Fit to the amplitudes of HOEHLER 79.

15A DPWA Multichannel
06 DPWA π N → π N, η N∆(1930) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1930) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.010± 0.001
49 ± 5ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.043− 0.5

ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1930) → ∆ π, D-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.12± 0.02
64 ± 4
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.1530ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1930) → ∆ π, G-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.008± 0.001
148 ± 2
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.009

121

ROENCHEN

15A DPWA Multichannel∆(1930) BREIT-WIGNER MASSVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1900 to 2000 (≈ 1950) OUR ESTIMATE
1 HUNT
1988± 32
19 DPWA Multichannel
1 ARNDT2233± 53
06 DPWA π N → π N, η N
1940± 30
CUTKOSKY 80 IPWA π N → π N
1901± 15
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
1930± 12
12A DPWA Multichannel
1932± 100
1 Statistical error only.

VRANA

https://pdg.lbl.gov

Page 200

DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1930) BREIT-WIGNER WIDTHVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

200 to 400 (≈ 300) OUR ESTIMATE
1 HUNT
500± 160
19 DPWA Multichannel
773± 187
ARNDT
06 DPWA π N → π N, η N
320± 60
CUTKOSKY 80 IPWA π N → π N
195± 60
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
235± 39
12A DPWA Multichannel
316± 237
1 Statistical error only.

VRANA00

DPWA Multichannel∆(1930) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1Γ2
Γ3Γ4ModeFraction (Γi /Γ)NπNγ
N γ , helicity=1/2
N γ , helicity=3/2

5–15 %
0.0–0.01 %0.0–0.005 %0.0–0.004 %∆(1930) BRANCHING RATIOSΓ N π /Γtotal

Γ1 /Γ

VALUE (%)

DOCUMENT ID

TECNCOMMENT

5 to 15 (≈ 10) OUR ESTIMATE
1 HUNT9.5± 0.1
19 DPWA Multichannel
1 ARNDT8.1± 1.2
06 DPWA π N → π N, η N
14 ± 4
CUTKOSKY 80 IPWA π N → π N
4 ±3
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
7.9± 0.4
12A DPWA Multichannel
9 ±8
1 Statistical error only.

VRANA00

DPWA Multichannel∆(1930) PHOTON DECAY AMPLITUDES AT THE POLE∆(1930) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.104± 0.009
129 ± 8ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.270

33

https://pdg.lbl.gov

ROENCHEN

Page 3

15A DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1930) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.322± 0.022
142 ± 4
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.153

81

ROENCHEN

15A DPWA Multichannel∆(1930) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1930) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT
1 ARNDT− 0.043± 0.008
19 DPWA Multichannel− 0.007± 0.010
96 IPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
0.011± 0.003
12A DPWA Multichannel
1 Statistical error only.

∆(1930) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

1 HUNT
1 ARNDT− 0.020± 0.017
19 DPWA Multichannel
0.005± 0.010
96 IPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
0.002± 0.002
12A DPWA Multichannel
1 Statistical error only.

∆(1930) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
ROENCHEN
HUNTROENCHEN
PDG
SVARC
SHRESTHA
ARNDT
VRANA
ARNDT
HOEHLER
CUTKOSKY
Also
HOEHLER
Also

221915A
141412A
0600
96938079

EPJ A58 229
PR C99 055205
EPJ A51 70
CP C38 070001PR C89 045205
PR C86 055203
PR C74 045205
PRPL 328 181
PR C53 430
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.
K. Olive et al.
(PDG Collab.)
A. Svarc et al.
(RBI Zagreb, UNI Tuzla)
M. Shrestha, D.M. Manley(KSU)
R.A. Arndt et al.
(GWU)
T.P. Vrana, S.A. Dytman, T.-S.H. Lee(PITT, ANL)
R.A. Arndt, I.I. Strakovsky, R.L. Workman(VPI)
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 4Created: 5/31/2024 10:12