Baryon Spectroscopy at J-PARCHiroyuki Noumi for the K10 Task Force

RCNP, Osaka University/IPNS, KEK

International Workshop on the Extension Project for the J-PARC Hadron Experimental Facility(J-PARC HEF-ex WS)

7-9 July, 2021

1

Contents:

-- Introduction

-- Charmed Baryons

-- Multi-strangeness Baryon, a bridge to K10

-- Summary

How does QCD workin Hadrons and Hadron-Hadron Interactions ?

Confinement

High E Low E

QCD

How are they excited ?

Observation / Effective theoryLattice (HAL)

w/ physics picture

How do they interact ?Effective DoF

𝛼𝑠 = ∞at LQCD

perturbative non-perturbative

2

http://ppssh.phys.sci.kobeu.ac.jp/~yamazaki/lectures/07/modernphys-yamazaki07.pdf

Baryon Structure• Non-trivial gluon field ⇒ ത𝑞𝑞 , constituent q, NG boson,

UA(1) anomaly (h-h’ mass diff.)

Disentangle

• Diquark correlation in Charmed Baryons

• OGE/III/else in Omega Baryons(*)

In baryons

Diquark• 𝑞𝑞: 0+ ⟷ (𝑞𝑞: 0−) ~ UA(1) anomaly

Origin of Spin-dep’t force• To explain systematic behaviors of SS/LS

Dynamics of Effective DoF• Confinement (~1 fm)

• One-Gluon Exchange (OGE)• perturbative effect

• Instanton-Induced Int. (III) (<0.5 fm)• Kobayashi-Maskawa-t’Hooft (KMT) int.

“Quark core”

Meson Cloud

(~1 fm)

(*)Takizawa’s and Shirotori’s Talks

𝐻 = 𝐾 + 𝑉𝐶𝑜𝑛𝑓 + 𝑉𝐶𝑜𝑢𝑙 + 𝑉𝑆𝑆 + 𝑉𝐿𝑆 +⋯

OGE/III/else(“short” range)

qLQCD, Nakamura, SaitoPLB621(2005)171

𝑉(𝑞𝑞: ത3𝑐)

𝑉(𝑞ത𝑞: 1𝑐)

𝑉𝐶𝑜𝑛𝑓 + 𝑉𝐶𝑜𝑢𝑙

3

Diquark in Heavy Baryons

by M. Oka

UA(1) anomalous singlet currentin Chiral diquark effective theory

Kim et al, Phys.Rev.D 102 (2020) 014004

Chiral partner𝑞𝑞: 0+ ⟷ (𝑞𝑞: 0−)

4

Systematic behavior of Spin-Spin(SS ) Int.

4𝑐𝑠1

𝑚𝑞2 +

1

2𝑚𝑞𝑚𝑄

0

50

100

150

200

250

300

0.1 1 10

Excitation E

nerg

y [M

eV

]

mQ [GeV]

Δ

N

Σ*

Σ

Σc

Σb

Σ*c Σ*b

0

100

200

300

400

500

600

700

800

0.1 1 10

Mass [M

eV

]mQ [GeV]

ρ

π

K*

K

D*

D

B*

B

4𝑐𝑠 −2

𝑚𝑞𝑚𝑄+𝑀0

4𝑐𝑠 +1

𝑚𝑞𝑚𝑄+𝑀0

4𝑐𝑠1

𝑚𝑞2 −

1

𝑚𝑞𝑚𝑄

Δ𝑆𝑆B Δ𝑆𝑆

M

Δ𝑆𝑆B =Δ𝑆𝑆

M /2

Baryons(Decuplet-Octet)

Mesons(V – PS)

• SS int. seems well described by CQM (OGE).𝑉𝑆𝑆 =

𝑖<𝑗

𝛼𝑆𝑆𝑆 16𝜋

9𝑚𝑖𝑚𝑗𝛿 𝑟𝑖𝑗 𝑠𝑖 ⋅ 𝑠𝑗

L Lc Lb

5

Systematic behavior of Spin-Orbit(LS ) Int.

0

100

200

300

400

500

600

700

800

0.1 1 10

Excitation E

ne

rgy [M

eV

]

mQ [GeV]

N*(1535)

1/2-

N*(1520)

3/2-

L(1405)

1/2-

L(1520) 3/2-

L(1690) 3/2-

L(1670) 1/2-

Lc(2595)

Lc(2625)Lb(5820)

Lb(5812)

L LcLbN

Baryons (L=1 States)

Δ𝐿𝑆𝜆 =

3𝑐𝐿2𝑚𝑄

2

𝑚𝑞+

1

𝑚𝑄

Δ𝐿𝑆𝜌=

9𝑐𝐿

4𝑚𝑞2

l

r

• LS splitting vanishes in light baryons.

• CQM, which suggests Δ𝐿𝑆𝜌

~100 MeV, does not reproduce the LS splitting.

• Cancellation mechanism exists?• Instanton Induced Interaction (III)

L

L

6

0

50

100

150

200

250

300

0.1 1 10

Excitation E

nerg

y [M

eV

]

mQ [GeV]

Δ

N

Σ*

Σ

Σc

Σb

Σ*c Σ*b

0

100

200

300

400

500

600

700

800

0.1 1 10

Mass[M

eV

]mQ [GeV]

ρ

π

K*

K

D*

D

B*

B

4𝑐𝑠1

𝑚𝑞2 +

1

2𝑚𝑞𝑚𝑄(𝑅𝑂𝐺𝐸 + 𝑅𝐼𝐼𝐼)

4𝑐𝑠 +1

𝑚𝑞𝑚𝑄(𝑅𝑂𝐺𝐸 + 𝑅𝐼𝐼𝐼)

4𝑐𝑠1

𝑚𝑞2 −

1

𝑚𝑞𝑚𝑄(𝑅𝑂𝐺𝐸 + 𝑅𝐼𝐼𝐼)

𝑅𝑂𝐺𝐸 + 𝑅𝐼𝐼𝐼~0.6 + 0.4exp −𝑚𝑄 −𝑚𝑞

Λ𝜒

Systematic behavior of Spin-Spin(SS ) Int.

4𝑐𝑠 −2

𝑚𝑞𝑚𝑄(𝑅𝑂𝐺𝐸 + 𝑅𝐼𝐼𝐼)

Baryons(Decuplet-Octet)

Mesons(V – PS)

• Very Naive demo.: OGE + III seems work well.• III is comparable to OGE to explain 𝜂 − 𝜂’ mass diff.• III works only in flavor-antisymmetric system in light

quarks (u,d,s).

7

Constructive for SS

0

100

200

300

400

500

600

700

800

0.1 1 10

Excitation E

nerg

y [M

eV

]

mQ [GeV]

Systematic behavior of Spin-Orbit(LS ) Int.

N*(1535)

1/2-

N*(1520)

3/2-

L(1405)

1/2-

L(1520) 3/2-

L(1690) 3/2-

L(1670) 1/2-

Lc(2595)

Lc(2625)Lb(5820)

Lb(5812)

L LcLbN

Baryons (L=1 States)

Δ𝐿𝑆𝜆 =

3𝑐𝐿2𝑚𝑄

2

𝑚𝑞+

1

𝑚𝑄0.6 − 0.4exp −

𝑚𝑄 −𝑚𝑞

Λ𝜒

Δ𝐿𝑆𝜌=

9𝑐𝐿

4𝑚𝑞2 (0.6 − 0.4)

l

r

𝑉𝐿𝑆~ 𝑅𝑂𝐺𝐸 − 𝑅𝐼𝐼𝐼 Δ

• LS splitting vanishes in light baryons.

• CQM, which suggests Δ𝐿𝑆𝜌

~100 MeV, does not reproduce the LS splitting.

• Cancellation mechanism exists?• Instanton Induced Interaction (III)

• LS splitting in heavier systems are to be investigated with identifying if they are 𝜆/𝜌-mode excitations

L

L

8

Destructive for LS

Baryon Spectroscopy at High-p 2nd (p20)-- Charmed Baryons

9

Disentangle diquark correlations

• Motion of “qq” is singled out by a heavy Q • Diquark correlation

• Level structure, Production rate, Decay properties• sensitive to the internal quark(diquark) WFs.

• Properties are expected to depend on a Q mass.

q

q

q Q

qqVCMI～[as/(mimj)]*(li,lj)(si,sj)

→0 if mi,j →∞ (HQ symm.)

VCMI(1S0, ത3𝑐) = 1/2*VCMI(

1S0, 1𝑐)[𝑞𝑞] [ത𝑞𝑞]

10

Disentangle motions of a light-quark pair w/ a heavy quark (HQ)

λ mode

ρ mode

Excited States

Q

l

qq

Q

rqq

q

q

q

...

L=2

L=1

...

Light Baryon Charmed Baryon

L=01/2+

L=2

L=1

Isotope Shift 𝑱𝑷 = 𝒔𝑸 + 𝑱𝑩𝑴

Ground State

1/2-

3/2-

3/2+

5/2+

HQ Doublet（Spin Doublet）

HQ Doublet（Spin Doublet）

𝐽𝐵𝑀 : total spin w/o Q spin

※Identifying l/r modes -> provide internal quark motions and correlation

...

...

11

Systematic behavior of Qqq BaryonsQqq: singly-heavy quark (Q)+ diquark (qq)

0

100

200

300

400

500

600

700

800

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

Y* -

YG.S

.[M

eV]

MQ [GeV/c2]

Sc(1/2+)

Sc*(3/2+)

Lc(2595, 1/2-)Lc(2625, 3/2-)

Lc oｒ Sc (2765, ??)

Lc(2880, 5/2+)

Lc(2940, 3/2-?)

Lc(GS)

Lc(2860, 3/2+)

L(1520, 3/2-)

S(1/2+)

S*(3/2+) L(1405, 1/2-)

L(1830, 5/2-)

L(1690, ??)L(1670, 1/2-)

L(GS)

s c b

l

r

r

Sb(1/2+) Sb

*(3/2+)

Lb(5920, 3/2-)Lb(5912, 1/2-)

Lb(GS)

Lb(6146, 3/2+)Lb(6152, 5/2+)

※Curves: CQM calculation by T. Yoshida, E. Hiyama, A. Hosaka, M. Oka, K. Sadato, Phys. Rev. D92 (2015) 11402912

Production and Decay of Charmed Baryons

p-p-

K+

Measure D*- and Identify Yc

*+ in the Missing mass spectrum𝐷0

p

D0

Measure Decay particles , too

Replacing u-quark in a proton into c-quark

Remarks

u

ud

c

ud

ത𝑢

d

തc

d

• Introducing a finite orbital angular momentum L ⇒ highly excited states

• Production ratio of the HQ doublet to be L:L+1 ⇒ Spin, Parity (JP )

• Production and Decay measurement ⇒ Branching Ratio (partial width)

Reaction Diagram

p

p-

D*-

Yc*+

13

Expected Mass Spectrum (Simulation)

L = 0

1/2- 3/2- 5/2+ 3/2+?1/2+

1 : 2 3 : 2

Lc

Lc(2595)

Lc(2625)

Lc(2880)

Lc(2940)

Ground state

l-mode excitation？

Missing Mass of Charmed Baryon [GeV/c2]

Simulation

Entr

y/0

.00

5G

eV

/c2

HQ doublet HQ doublet

To be settled

L = 1 L = 2

※Simulation with know states assuming• l/r and Spin-Parity• cross sections estimated by theoretical model• background due to particle miss-identification

※Prod. Rates and Decay Pattern• Specify a pair of the HQ doublet※unexpected pair may be identified.

• Spin-parity (JP) is to be determined

Identify l/r mode• Internal structure (wave func.)

(q motion and qq correlation)

Decay pattern of l mode

D0Yc*+

pYc

*’

p

Decay pattern of r -mode

Yc*+

Sc(2520) Sc(2800)

14

Production of Charmed Baryons: Theoretical Study

※no data available is in the charm sector.

1nb

10nb

Pp=20 GeV/c

S.H. Kim, A. Hosaka, H.C. Kim, and H. Noumi PRD92 (2015) 094021

Reggeon Exchange Model in 2-body reaction Production rate in excited state

One-quark process

Two-quark process

p

p- ഥ𝐷

Yc*+

※Comparable ρ-mode excitationsare expected.

iefff rqiR s )exp(2 ~

-

)(exp)(~ 22 aa /-q/qI eff

L

effL

Mom. Trans.：qeff～1.4 GeV/c a~0.4 GeV ([Baryon size]-1)

S.H. Kim, A. Hosaka, H.C. Kim, and H. Noumi, PTEP 2014 (2014) 103D01

qeff

※l-mode states w/ finite Lare populated.

S.I. Shim, A. Hosaka, H.C. Kim, PTEP 2020, (2020) 5, 053D01

[(Total E)/(threshold E)]2 = s/s0

qeff

15

Charmed Baryon Spectroscopy at J-PARC

J-PARC

Hadron Exp. Facility

High-p Beam Line• 20 GeV/c π-

• Intensity >107 /s

• Dp/p~ 1/1000

Spectrometer

Dipole Magnetfor Spectrometer

※At present, E16 (𝜙 → 𝑒+𝑒− in nuclei) is in operation with a 30GeV (primary) proton beam

16

p

p-D*-

Yc*+

p-

p-

K+𝐷0

p

D0

Spectrometer System

Fiber Tracker

Drift Chamber（DC）

2mDipoleMagnet20 GeV/c

p- Beam

p-p-

K+

p

Drift Chamer（DC）

Ring ImageCherenkov Counter

（RICH）

TOFwall

Time Zero（T0）

Resistive PlateChamber (RPC)

J-PARC High-p Beam Line

H2 Target

Acceptance: ~ 60% for D*, ~ 80% for decay p+

Resolution: Dp/p~0.2% at ~5 GeV/c （Rigidity： ~2.1 Tm)

17

Fiber Tracker

Drift Chamber（DC）

2mDipoleMagnet20 GeV/c

p- Beam

p-p-

K+

p

Drift Chamer（DC）

Ring ImageCherenkov Counter

（RICH）

Time Zero（T0）J-PARC High-p Beam Line

H2 Target

2m

Resistive PlateChamber (RPC)

TOFwall

Spectrometer System Acceptance: ~ 60% for D*, ~ 80% for decay p+

Resolution: Dp/p~0.2% at ~5 GeV/c （Rigidity： ~2.1 Tm)

18

aerogel

Photon Sensor

Mirror

particle Designed RICH

Development of prototype RICH in progress

Photon Sensor（1mｘ2m）

Mirror（Hor.:5.4m）

Aerogel(2mｘ2.5m)

1.9m

1.9m

1.5m

particle

C4F10 GasRing Image

Precise Measurement of a Cherenkov radiation angle → Particle velocity

Aerogel (n=1.021)

Spherical Mirror φ60㎝

Ring Image

Cherenkov RIngPhoton Sensor（MPPC）

Performance testw/ an electron beam goes well.

😊 angular res. ～1.7mrad

Particle Identification in a wide momentum range of 2～16GeV/c, K-beam ID as well

19

“High-p Beam Line” has taken off in a primary mode※

Toward “High-p 2nd”• 15-kW loss TGT → 20 GeV/c π-, >107 /s

• BL Design in progress • Satisfy Rad. Safety regulation• Shielding, Air-born activity• Maintenance scenario

• Residual Rad.<0.1 mSv/h

※At present, E16 (𝜙 → 𝑒+𝑒− in nuclei) is in operation with a 30GeV (primary) proton beam

Spectrometer

20

Hadron Physics at the High-p BL• Baryon Spectroscopy

– p(p-,D*-)Yc* (E50)

– p(K-,K*)X*, p(K-,K+K*)W* (LoI:KEK/J-PARC-PAC 2014-4)

– Search for D30 Dibaryon State in 𝑝𝑝 → 𝜋−𝜋−𝐷30 (E79)

– p(p-,K*)L(1405) at large s, t (to be proposed)

• Hadron Tomography– Exclusive DY, 𝜋−𝑝 → 𝜇−𝜇+𝑛 (LoI: KEK/J-PARC-PAC 2019-7)

• For Strangeness Nuclear Physics– Lp (P-wave) Scattering for the study of high-density

nuclear matter (LoI: KEK/J-PARC-PAC 2020-08)

• For Neutrino Physics– Hadron Production for neutrino beams

s

q

sl

r s

ssl

r

Δ ++++Δ++Δ++

𝜩∗ 𝜴∗

21

Baryon Spectroscopy at High-p 2nd (p20)-- Multi-strangeness Baryon, a bridge to K10

22

• λ and ρ mode excitations interchange

sqsQQ (+SO)

X(1/2-,3/2-)

X(1/2-, 3/2-, 5/2-)

X(1/2-, 3/2-)

X*(3/2+)

X(1/2+)

Level Structure of Double-Q baryons

qq

qλ mode

ρ mode

G.S.

P-wave(L=1)

q

l

QQ

r Q-Q

q

23

Multi-Strangeness Baryon SpectroscopyUsing Missing Mass Techniques

Production and Decay reflect [QQ] correlation U-channel production may be dominant Two-quark-involved reaction →Both r/l mode excitation

p

K-

Xss*0

Y*, Y

K*0 p-

K+

𝑌𝑠∗′(X𝑠𝑠

∗′)

K- (p)

Ω𝑠𝑠𝑠∗′

K+

M. Naruki and K. Shirotori, LoI submitted to the 18th J-PARC PAC in May, 2014(KEK/J-PARC-PAC 2014-4)

24

JP rating

Width [MeV]

→Xp

[%]→LK

[%]→SK

[%]

X(2500) ?? 1* 150?

X(2370) ?? 2* 80? WK~9±4%

X(2250) ?? 2* 47+-27?

X(2120) ?? 1* 25?

X(2030) >=5/2? 3* 20+15-5 small ~20 ~80 Why SK?

X(1950) ?? 3* 60+-20 seen seen

X(1820) 3/2- 3* 24+15-10 small Large Small

X(1690) ?? 3* <30 seen seen seen

X(1620) ?? 1* 20~40?

X(1530) 3/2+ 4* 19 100

Λഥ𝐾(1610)

Σഥ𝐾(1685)

Xp(1450)

Threshold

Λഥ𝐾∗(1908)Σഥ𝐾∗(1983)

Σ∗ഥ𝐾(1878)

X*p(1665)

Ωഥ𝐾(2166)

Measured X (PDG)

Most of spins/parities have NOT been determined yet.Why the X * -> pX decay seems to be suppressed? expected to reflect QQq configuration. 25

LoI submitted by M. Naruki and K. Shirotori

X Baryon Spectroscopy w/ the High-p Secondary Beam

• Sizable yields are expected for a month.

• Past exp.

5 GeV/c

5 mb

Inclusive X prod in pp

p(K-,K+) spectraC.M. Jenkins et al., PRL51, 951(1983)

5 GeV/c

150 mb

Inclusive X prod. in K-p Kaon beams:productive in Ξ ∗

1820

2030

2500

2380

2250

GS

26

Omega*: Productive Kaon Beams

290±90 nb

11 GeV/c K-

11 GeV/c K-

630±180 nb

PLB194,574(1987)

PLB215,799(1989)JP

Ω(2470) ?? **

Ω(2380) ?? **

Ω(2250) ?? ***

Ω(2012) ?- ***

Ω(GS) 3/2+ ****

Pilot Exp. for Omega*at High-p 2nd (p20)

27

JP rating

Width [MeV]

→XK

(1)→X*K

(2) →XK*

(3)→XKp

(4)→Wpp

(5)

W(2470) ?? 2* 72+-33 seen LASS (113MK-,11GeV/c) (290+-90)/(5) nb

W(2380) ?? 2* 26+-23 <0.44 to(4)

0.5+-0.3 to (4)

Xi Beam

W(2250) ?? 3* 55+-18 0.7+-0.2 to (4)

Seen Xi BeamLASS (113MK-, 11GeV/c)(630+-180)/(2) nb

W(2012) ?- 3* 6.4+2.5-2.0

+-1.61.2+-0.3(=X0/X-)

<0.119 /(1)

->Ξ*K dominant if Ξ*K mol?

W(1672) 3/2+ 4*-

Threshold

Measured W (PDG)

Most of spins/parities/decay branches have yet to be determined.

What the production X * -> W*K and W* decay modes tell us W*’s internal structure.

(Ωπ0 1807)

Ωπ0π0 1942

Ξ0K- 1811

Ξ0K-π0 1956

Ξ0*K- 2024

Ξ0K*- 2109

28

-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

0.1 1

w (

GeV

)-W

Q(S

,cr)

MQ (GeV/c2)

s cbud

X*(1530)

X(1321:GS)

X(1620)X(1690)

X(1820)

X(1950)X(2030)X(2120)

X(2250)

X(2370)

X(2500)

W(1672:GS)

W(2012)

W(2250)

W(2380)

W(2470)

Wc(GS)

Wc(2770)

Wc(3000)Wc(3050)Wc(3065)Wc(3090)

Wｂ(GS)

Wc(3120)

Wｂ(6316)Wｂ(6330)Wｂ(6340)Wｂ(6350)

(Pl,cs)

(S,cs)

(S,cl):GS

(Pr,cl)

(Pl,cr)XK(1811)

X*K(2024)

Wh(2220)

Systematics of Qss Baryons – Ξ and Ω –s

Qsl

r𝜴𝑸∗

𝜩∗ 𝐰𝐡𝐞𝐧 𝑸=𝒖/𝒅

29

𝐾−𝑝 → 𝐾∗0Ξ∗0, Ξ∗0 → Ω∗−𝐾+

1300

1500

1700

1900

2100

2300

2500

2700

2900

0 1 2 3 4 5

3/2-??

1/2-??

??

??

????

??

??

??

??

??

??

Ξ(2500)

Ξ(2370)

Ξ(2250)

Ξ(2120)Ξ(2030)Ξ(1950)

Ξ(1820)

Ω(2250)

Ω(2012)

Ω(2380)Ω(2470)

3/2+GS

GS

Ξ

Ω

1/2+

3/2+

3/2-

>=5/2(-)

Ξ(1530)

Mass

[MeV

/c2] 𝐾+

Ω∗−

Ξ∗0

1𝑃 state?

Roper-like? (3/2+?)

higher 𝐿?

2𝑆 state?

}

}

30

1300

1500

1700

1900

2100

2300

2500

2700

2900

0 1 2 3 4 5

Ξ

Ω

1/2+

3/2+

3/2+

3/2-??

1/2-??

??

??

????

Ξ(1530)

Ω(2250)

Ω(2012)

Ω(2380)Ω(2470)Ξ(2500)

Ξ(2370)

Ξ(2250)

Ξ(2120)Ξ(2030)Ξ(1950)

Ξ(1820)3/2-

??

??

??

??

??

>=5/2(-)??

GS

GS

1𝑃 state?

Roper-like? (3/2+?)

higher 𝐿?

2𝑆 state?

}

}

Mass

[MeV

/c2]

𝐾−𝑝 → 𝐾∗0Ξ∗0, Ξ∗0 → Ω∗−𝐾+

𝐾+

Ω∗−

Ξ∗0

Ξ(∗)0

𝐾−

Properties of W*Decay Ang. Corr. → JP (J>1/2)Polarization → Parity (J=1/2)Decay Branch (width) → w.f.

Properties of Initial X*(JP)to be determined as well 31

In Summary…

32

Meson Cloud(~1 fm)

“Quark core”

(~0.5 fm)

How quarks build hadrons?Dynamics of non-trivial QCD vacuum in baryon structure

※Chiral condensate ത𝑞𝑞 ≠ 0, UA(1) anomaly

⇒ Constituent q and NG boson (effective DoF).

Charmed Baryon (High-p)

Disentangle the diquark correlation→ 𝜆/𝜌 mode assignment→ UA(1) anomaly: 𝑞𝑞 0+ ↔ (𝑞𝑞) 0−

s- and c-baryon spectroscopy: q correlation and spin-dep. force

Single-flavored (Flavor-symmetric) systemFree from pion cloud→Spin-orbit Force (One Gluon Exchange)→Roper-like (2S, 3/2+) states(“quark core” size)

Ω∗ (sss) Baryon (K10)

33

Meson Cloud(~1 fm)

“Quark core”

(~0.5 fm)

How quarks build hadrons?Dynamics of non-trivial QCD vacuum in baryon structure

※Chiral condensate ത𝑞𝑞 ≠ 0, UA(1) anomaly

⇒ Constituent q and NG boson (effective DoF).

Charmed Baryon (High-p)

Disentangle the diquark correlation→ 𝜆/𝜌 mode assignment→ UA(1) anomaly: 𝑞𝑞 0+ ↔ (𝑞𝑞) 0−

Single-flavored (Flavor-symmetric) systemFree from pion cloud→Spin-orbit Force (One Gluon Exchange)→Roper-like (2S, 3/2+) states(“quark core” size)

Ω∗ (sss) Baryon (K10)

s- and c-baryon spectroscopy: q correlation and spin-dep. force

34