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

I (J P ) = 23 ( 21 − ) Status:∆(1620) 1/2−∗∗∗∗

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

∆(1620) POLE POSITIONREAL PARTVALUE (MeV)

DOCUMENT ID

TECNCOMMENT

1590 to 1610 (≈ 1600) OUR ESTIMATE
1607± 2
ROENCHEN 22 DPWA Multichannel
1597± 5SOKHOYAN 15A DPWA Multichannel
1 SVARC1603± 7± 2
14 L+P
πN → πN
1600± 15
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •
1577
HUNT
1600
ROENCHEN
1597± 4ANISOVICH
1595
ARNDT
1607
VRANA
1608
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

19
15A
12A
06
00
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

80 to 140 (≈ 110) OUR ESTIMATE
85± 3
ROENCHEN 22 DPWA Multichannel
134± 8SOKHOYAN 15A DPWA Multichannel
1 SVARC114± 12 ± 4
14 L+P
πN → πN
120± 20
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •
101
HUNT
65
ROENCHEN
130± 9ANISOVICH
135
ARNDT
148
VRANA
116
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

19
15A
12A
06
00
93

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
DPWA Multichannel
SPED π N → π N∆(1620) ELASTIC POLE RESIDUEMODULUS r
VALUE (MeV)

DOCUMENT ID

10 to 20 (≈ 15) OUR ESTIMATE
12± 1
ROENCHEN
20± 3
SOKHOYAN
1 SVARC17± 2 ± 115± 2
CUTKOSKY

https://pdg.lbl.gov

Page 1

TECN

22
15A
14
80

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. • • •16
ROENCHEN
18± 2
ANISOVICH
15
ARNDT
19
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

15A
12A
06
93

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

PHASE θVALUE (◦ )DOCUMENT ID

TECNCOMMENT− 120 to − 80 (≈ − 100) OUR ESTIMATE
126± 2
ROENCHEN 22 DPWA Multichannel− 90± 15SOKHOYAN 15A DPWA Multichannel
1 SVARC− 106± 10 ± 4
14 L+P
πN → πN− 110± 20
CUTKOSKY 80 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •− 104
ROENCHEN− 100± 5
ANISOVICH
− 92
ARNDT
− 95
HOEHLER
1 Fit to the amplitudes of HOEHLER 79.

15A
12A
06
93

DPWA Multichannel
DPWA Multichannel
DPWA π N → π N, η N
SPED π N → π N∆(1620) INELASTIC POLE RESIDUE
The “normalized residue” is the residue divided by Γpole /2.

Normalized residue in N π → ∆(1620) → ∆ π, D-wave
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.32± 0.01
81 ± 1ROENCHEN 22 DPWA Multichannel
0.42± 0.06
− 90 ± 20
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •0.570.38± 0.09

105
− 85 ± 30

ROENCHENANISOVICH

15A DPWA Multichannel
12A DPWA Multichannel

Normalized residue in N π → ∆(1620) → Σ K
MODULUSPHASE (◦ )DOCUMENT ID

TECNCOMMENT0.11± 0.01
− 120 ± 3
ROENCHEN 22 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •
0.22

− 105

ROENCHEN

15A DPWA Multichannel

Normalized residue in N π → ∆(1620) → N(1440)πMODULUSPHASE (◦ )DOCUMENT ID

0.10± 0.06

− 65 ± 30

SOKHOYAN

TECNCOMMENT

15A DPWA Multichannel∆(1620) BREIT-WIGNER MASSVALUE (MeV)

1590

DOCUMENT ID

TECNCOMMENT

to 1630 (≈ 1610) OUR ESTIMATE

1635 ± 8
1589 ± 3
1595 ± 8

https://pdg.lbl.gov

GOLOVATCH 19 DPWA γ p → π + π − p
1 HUNT
19 DPWA Multichannel
SOKHOYAN 15A DPWA Multichannel

Page 2Created: 5/31/2024 10:12

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

1 ARNDT
1615.2± 0.4
06 DPWA π N → π N, η N
1620 ± 20
CUTKOSKY 80 IPWA π N → π N
1610 ± 7
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •1600 ± 81600 ± 1
1612 ± 2
1617 ± 15
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A
02C
00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1620) BREIT-WIGNER WIDTHVALUE (MeV)110

DOCUMENT ID

TECNCOMMENT

to 150 (≈ 130) OUR ESTIMATE

144 ± 16
GOLOVATCH 19 DPWA γ p → π + π − p1
107 ± 7HUNT
19 DPWA Multichannel
135 ± 9SOKHOYAN 15A DPWA Multichannel
1 ARNDT
146.9± 1.9
06 DPWA π N → π N, η N
140 ± 20
CUTKOSKY 80 IPWA π N → π N
139 ± 18
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •130 ± 11112 ± 2202 ± 7143 ± 42
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A
02C
00

DPWA Multichannel
DPWA Multichannel
DPWA Multichannel
DPWA Multichannel∆(1620) DECAY MODES
The following branching fractions are our estimates, not fits or averages.

Γ1
Γ2
Γ3
Γ4
Γ5
Γ6
Γ7
Γ8

Mode

Fraction (Γi /Γ)NπNππ∆(1232)π , D-waveNρN ρ , S=1/2, S-wave
N ρ , S=3/2, D-wave
N(1440)πN γ , helicity=1/2

25–35 %
>67 %
44–72 %
23–32%
23–32%<0.04%<9 %0.03–0.10 %∆(1620) BRANCHING RATIOSΓ N π /Γtotal
VALUE (%)

Γ1 /ΓDOCUMENT ID

25 to 35 (≈ 30) OUR ESTIMATE
1 HUNT
24 ± 228 ± 3SOKHOYAN

https://pdg.lbl.gov

Page 3TECNCOMMENT

19 DPWA Multichannel
15A DPWA Multichannel

Created: 5/31/2024 10:12

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

1 ARNDT31.5± 0.1
06 DPWA π N → π N, η N
25 ± 3
CUTKOSKY 80 IPWA π N → π N
35 ± 6
HOEHLER
79 IPWA π N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •28 ± 333 ± 234 ± 145 ± 5
1 Statistical error only.

ANISOVICH
1 SHRESTHAPENNER
VRANA

12A
12A
02C
00

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

Γ2 /Γ

VALUE

DOCUMENT ID

TECNCOMMENT

0.90± 0.10

GOLOVATCH 19

DPWA γ p → π + π − p

DOCUMENT ID

TECNΓ ∆(1232)π , D-wave /Γtotal
VALUE (%)

Γ3 /ΓCOMMENT

1 HUNT48± 4
19 DPWA Multichannel
62± 10SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •60± 1732± 2
39± 2
1 Statistical error only.

ANISOVICH
1 SHRESTHAVRANA12A DPWA Multichannel
12A DPWA Multichannel
00 DPWA MultichannelΓ N ρ , S=1/2, S-wave /Γtotal
VALUE (%)

Γ5 /ΓDOCUMENT ID

TECNCOMMENT

1 HUNT27± 4
19 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
26± 2
12A DPWA Multichannel
14± 3
1 Statistical error only.

VRANA

00

DPWA MultichannelΓ N ρ , S=3/2, D-wave /Γtotal
VALUE (%)

Γ6 /ΓDOCUMENT ID

TECNCOMMENT

1 HUNT<0.04
19 DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •2 ±1
1 Statistical error only.

VRANA

00

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

Γ7 /ΓDOCUMENT ID

TECNCOMMENT

1 HUNT<0.02
19 DPWA Multichannel
6 ±3
SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •1 SHRESTHA
9 ±1
12A DPWA Multichannel
0 ±1
1 Statistical error only.

https://pdg.lbl.gov

VRANA

Page 400

DPWA Multichannel

Created: 5/31/2024 10:12

Citation: S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)∆(1620) PHOTON DECAY AMPLITUDES AT THE POLE∆(1620) → N γ , helicity-1/2 amplitude A1/2
MODULUS (GeV−1/2 )PHASE (◦ )DOCUMENT ID

TECNCOMMENT

0.011± 0.002
57 ± 12ROENCHEN 22 DPWA Multichannel
0.054± 0.007−6 ± 7SOKHOYAN 15A DPWA Multichannel• • • We do not use the following data for averages, fits, limits, etc. • • •
0.014

26

ROENCHEN

15A DPWA Multichannel∆(1620) BREIT-WIGNER PHOTON DECAY AMPLITUDES∆(1620) → N γ , helicity-1/2 amplitude A1/2
VALUE (GeV−1/2 )DOCUMENT ID

TECNCOMMENT

0.030 to 0.060 (≈ 0.050) OUR ESTIMATE
0.029 ± 0.0062
GOLOVATCH 19 DPWA γ p → π + π − p10.0124± 0.0007
HUNT
19 DPWA Multichannel
0.055 ± 0.007
SOKHOYAN 15A DPWA Multichannel
1 WORKMAN
0.029 ± 0.003
12A DPWA γ N → N π
1 DUGGER
0.050 ± 0.002
07 DPWA γ N → π N• • • We do not use the following data for averages, fits, limits, etc. • • •0.052 ± 0.005− 0.003 ± 0.003
0.066− 0.050
1 Statistical error only.

ANISOVICH
1 SHRESTHADRECHSELPENNER

12A
12A
07
02D

DPWA Multichannel
DPWA Multichannel
DPWA γ N → π N
DPWA Multichannel∆(1620) REFERENCES
For early references, see Physics Letters 111B 1 (1982).
ROENCHENGOLOVATCH
HUNT
ROENCHENSOKHOYANPDG
SVARC
ANISOVICHSHRESTHA
WORKMANDRECHSELDUGGERARNDTPENNERPENNERVRANAHOEHLER
CUTKOSKY
Also
HOEHLER
Also

22
19
19
15A
15A
14
14
12A
12A
12A
07
07
06
02C
02D
00
93
80
79

EPJ A58 229
PL B788 371
PR C99 055205
EPJ A51 70
EPJ A51 95
CP C38 070001
PR C89 045205
EPJ A48 15
PR C86 055203
PR C86 015202
EPJ A34 69
PR C76 025211
PR C74 045205
PR C66 055211
PR C66 055212
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.)
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)
M. Dugger et al.
(JLab CLAS Collab.)
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)
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 5Created: 5/31/2024 10:12