Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1600) 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).

∆(1600) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1470 to 1590 (≈ 1520) OUR ESTIMATE
1590± 1ROENCHEN 22 DPWA Multichannel
1515± 20SOKHOYAN 15A DPWA Multichannel
1 SVARC
1469± 10 ± 514 L+P
πN → πN
1550± 40
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1619
HUNT1552
ROENCHEN
1498± 25
ANISOVICH
1457
ARNDT
1599
VRANA
1550
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

1915A
12A
0600
93

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

150 to 320 (≈ 280) OUR ESTIMATE
136± 1ROENCHEN 22 DPWA Multichannel
250± 30SOKHOYAN 15A DPWA Multichannel
1 SVARC314± 18 ± 814 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. • • •295
HUNT350
ROENCHEN
230± 50
ANISOVICH
400
ARNDT312
VRANA
1 Fit to the amplitudes of HOEHLER 79.

1915A
12A
0600

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
DPWA Multichannel∆(1600) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

10 to 40 (≈ 25) OUR ESTIMATE
11± 1
ROENCHEN
13± 3
SOKHOYAN
1 SVARC38± 2 ± 217± 4
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. • • •23
ROENCHEN
11± 6
ANISOVICH
44
ARNDT
1 Fit to the amplitudes of HOEHLER 79.

15A DPWA Multichannel
12A DPWA Multichannel
06 DPWA π N → π N, η N

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT

180 to 250 (≈ 210) OUR ESTIMATE− 106± 1
ROENCHEN 22 DPWA Multichannel− 155± 20
SOKHOYAN 15A DPWA Multichannel
1 SVARC173± 5± 514 L+PπN → πN
− 150± 30
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 155
ROENCHEN− 160± 33
ANISOVICH+ 147
ARNDT
1 Fit to the amplitudes of HOEHLER 79.

15A DPWA Multichannel
12A DPWA Multichannel
06 DPWA π N → π N, η N∆(1600) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1600) → ∆ π, P-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.30± 0.02
87 ± 2
ROENCHEN 22 DPWA Multichannel
0.15± 0.04
30 ± 35SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.31
0.14± 0.1031154 ± 40

ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1600) → ∆ π, F-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.004± 0.0002 − 62 ± 5ROENCHEN 22 DPWA Multichannel
0.010± 0.005
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.013
0.010± 0.005

29

ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1600) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.14± 0.01
14 ± 1ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.13− 5.6

https://pdg.lbl.gov

ROENCHENPage 215A DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1600) BREIT-WIGNER MASSVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1500 to 1640 (≈ 1570) OUR ESTIMATE
1 HUNT
1664± 1619 DPWA Multichannel
1520± 20SOKHOYAN 15A DPWA Multichannel
1600± 50
CUTKOSKY 80 IPWA π N → π N
1522± 13
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1510± 201626± 81667± 11687± 44
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A
02C00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1600) BREIT-WIGNER WIDTHVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

200 to 300 (≈ 250) OUR ESTIMATE
1 HUNT322± 46
19 DPWA Multichannel
235± 30SOKHOYAN 15A DPWA Multichannel
300± 100
CUTKOSKY 80 IPWA π N → π N
220± 40
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •220± 45225± 18397± 10493± 75
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A02C00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1600) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1Γ2
Γ3
Γ4
Γ5
Γ6
Γ7
Γ8
Γ9ModeFraction (Γi /Γ)NπNππ∆(1232)π∆(1232)π , P-wave∆(1232)π , F-wave
N(1440)πNγ
N γ , helicity=1/2
N γ , helicity=3/2

8–24%

https://pdg.lbl.gov

58–84 %
58–82 %
72–82%<2%
17–27%
0.001–0.035 %0.0–0.02 %0.001–0.015 %Page 3Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1600) BRANCHING RATIOSΓ N π /Γtotal

Γ1 /ΓVALUE (%)

DOCUMENT ID

TECNCOMMENT

8–24% OUR ESTIMATE
1 HUNT10.7± 1.9
19 DPWA Multichannel
14 ± 4SOKHOYAN 15A DPWA Multichannel
18 ± 4
CUTKOSKY 80 IPWA π N → π N
21 ± 6
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •12 ± 58 ±213 ± 1
28 ± 5
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A
02C00

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

Γ4 /ΓDOCUMENT ID

TECNCOMMENT

72–82% OUR ESTIMATE
1 HUNT64± 6
19 DPWA Multichannel
77± 5
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •78± 670± 359± 10
1 Statistical error only.

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

Γ5 /Γ

VALUE (%)

DOCUMENT ID<2% OUR ESTIMATE<2SOKHOYANTECNCOMMENT

15A DPWA MultichannelΓ N(1440)π /Γtotal
VALUE (%)

Γ6 /ΓDOCUMENT ID

TECNCOMMENT

17–27% OUR ESTIMATE
1 HUNT22± 519 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
22± 3
12A DPWA Multichannel
13± 4
1 Statistical error only.

VRANA00

DPWA Multichannel∆(1600) PHOTON DECAY AMPLITUDES AT THE POLE∆(1600) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.025± 0.005
0.5 ± 3.0
ROENCHEN 22 DPWA Multichannel
0.053± 0.010
130 ± 15SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.230− 42

https://pdg.lbl.gov

ROENCHENPage 4

15A DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1600) → N γ , helicity-3/2 amplitude A3/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT− 0.006± 0.0013
62 ± 32
ROENCHEN 22 DPWA Multichannel
0.055± 0.010
152 ± 15SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.332− 71

ROENCHEN

15A DPWA Multichannel∆(1600) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1600) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT− 0.060 to − 0.030 (≈ − 0.045) OUR ESTIMATE
1 HUNT
0.0082± 0.0014
19 DPWA Multichannel− 0.051 ± 0.010
SOKHOYAN 15A DPWA Multichannel
1 ARNDT− 0.018 ± 0.015
96 IPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.050 ± 0.009
0.006 ± 0.005
0.0
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER

12A DPWA Multichannel
12A DPWA Multichannel
02D DPWA Multichannel∆(1600) → N γ , helicity-3/2 amplitude A3/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT− 0.050 to − 0.020 (≈ − 0.035) OUR ESTIMATE1 HUNT
0.048± 0.014
19 DPWA Multichannel− 0.055± 0.010
SOKHOYAN 15A DPWA Multichannel
1 ARNDT− 0.025± 0.015
96 IPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 0.040± 0.012
0.052± 0.008− 0.024
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER

12A DPWA Multichannel
12A DPWA Multichannel
02D DPWA Multichannel∆(1600) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
ROENCHEN
HUNTROENCHENSOKHOYANPDG
SVARC
ANISOVICHSHRESTHAARNDTPENNERPENNERVRANA
ARNDT
HOEHLER

221915A
15A
141412A
12A
0602C
02D009693

EPJ A58 229
PR C99 055205
EPJ A51 70
EPJ A51 95
CP C38 070001
PR C89 045205
EPJ A48 15
PR C86 055203
PR C74 045205
PR C66 055211
PR C66 055212
PRPL 328 181
PR C53 430
π N Newsletter 9 1

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.)
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.A. Arndt et al.
(GWU)G. Penner, U. Mosel(GIES)
G. Penner, U. Mosel(GIES)
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)

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

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

CUTKOSKY
Also
HOEHLER
Also8079

Toronto Conf. 19
PR D20 2839
PDAT 12-1
Toronto Conf. 3

https://pdg.lbl.gov

R.E. Cutkosky et al.
R.E. Cutkosky et al.
G. Hohler et al.
R. KochPage 6(CMU, LBL) IJP(CMU, LBL) IJP(KARLT) IJP(KARLT) IJP

Created: 5/31/2024 10:12