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Ω SU(3) OMEGA looking glass Ω Asli Tandogan (RUB), Maxim V. Polyakov(RUB), Hyeon-Dong Son (RUB), Bao-Dong Sun(IHEP) Ω (2012) through the looking glass of flavor SU(3) Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” arXiv:1806.04427 (12.06.2018) NFQCD2018

18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

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Page 1: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Ω SU(3) OMEGA looking

glass ΩAsli Tandogan (RUB), Maxim V. Polyakov(RUB), Hyeon-Dong Son (RUB), Bao-Dong Sun(IHEP)

Ω(2012) through the looking glass of flavor

SU(3)

Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD”

arXiv:1806.04427 (12.06.2018)

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Page 2: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

OutlineOutlineIntroduction & Goals

Partial decay widths of baryons

Identification of decuplet partner

(1530) molecular state

Summary & Outlook

Ω ( 2 0 1 2 ) t h r o u g h t h e l o o k i n g g l a s s o f f l a v o r S U ( 3 )

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Page 3: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

BELLEIntroduction

Ω*-(2012)→ΞK (observed)

M=2012.4±0.7(stat)±0.6(syst) MeV

Γtot= (stat)±1.6(syst) MeV

B E L L E E x p e r i m e n t

The BELLE Collab. arXiv: 1805.09384v1 (23.05.2018)

6.4+2.5�2.0

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Page 4: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

GOALSAim of the Study

Identify the Δ partner

Establish quantum numbers of Ω(2012)

Make predictions for Σ and Ξ (mass and width)

Narrow down the uncertainties of Δ partner

Discuss possible interpretation as (1530) molecule

W H A T C A N W E S A Y W I T H T H E H E L P O F T H E Ω ( 2 0 1 2 )

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Page 5: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

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Y

I3

SU(3)Basics of flavor SU(3)

Predicts the existence of multiplets: 1, 8, 10, 27-plet,…

Every particle defined by I, I3 & Y

SU(3) breaking → Gell-Mann-Okubo mass formula

For baryon decuplet

W H A T C A N W E S A Y W I T H T H E H E L P O F T H E Ω ( 2 0 1 2 )

mΣ − mΔ = mΞ − mΣ = mΩ − mΞ

NF

QC

D2

01

8

Page 6: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

DECAY WIDTHSN

FQ

CD

20

18

Partial Decay Widths of BaryonsPartial decay width of B1→B2 M pseudo scalar meson, mass m

Page 7: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

DEACY WIDTHS

F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

NF

QC

D2

01

8

1. � (B1 ! B2M) =g2B1B2M

8⇡

✓k

M0

◆2J+N ✓k

M1

◆M0

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Partial decay width of B1→B2 M pseudo scalar meson, mass m

used in the global SU(3) analyses in Guzey and Polyakov (2005), Samios et al. (1974)

Partial Decay Widths of Baryons

Page 8: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

SU(3) Analysis of (8,5/2-)

In a very good agreement with experimental data

Ξ(1950) is very well fitted in this octet JP=5/2-

Guzey & Polyakov hep-ph/05122355v1

NF

QC

D2

01

8

Page 9: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

DECAY WIDTHSF L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

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obtained in effective chiral Lagrangian frame work for baryon resonances of any spin

Semenov-Tian-Shansky et al. (2005)

Partial decay width of B1→B2 M pseudo scalar meson, mass m

NF

QC

D2

01

8

Partial Decay Widths of Baryons

1.

2.

Page 10: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

DEACY WIDTHSF L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

NF

QC

D2

01

8

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1.

2.

J spin of B1, N Normality P (-1)J-1/2 ,

M0 mass constant parameter

M1 mass of B1 , M2 mass of B2

k decay momentum in c.m. frame

Partial Decay Widths of BaryonsPartial decay width of B1→B2 M pseudo scalar meson, mass m

Page 11: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

DEACY WIDTHS

F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

NF

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Partial decay width of B1→B2 M pseudo scalar meson, mass m

Partial Decay Widths of Baryons

1.

2.

Page 12: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

C o u p l i n g c o n s t a n t s 10 Decay Mode ! 8+8 !10+8

� ! N⇡ -p2/2 A10

! ⌃ Kp2/2 A10

! � ⇡p10/4 A0

10

! � ⌘ �p2/4 A0

10

! ⌃⇤ K 1/2 A010

⌃ ! ⇤ ⇡ �1/2A10

! ⌃ ⇡, ⌅ Kp6/6A10

! N K̄ -p6/6A10

! ⌃ ⌘ 1/2A10

! ⌃⇤ ⇡, ⌅⇤ K, �K̄p3/6A0

10

! ⌃⇤ ⌘ 0

⌅ ! ⌅ ⇡, ⌅⌘, ⌃K̄ 1/2A10

! ⇤ K̄ �1/2A10

! ⌅⇤ ⇡, ⌅⇤⌘p2/4A0

10

! ⌃⇤K̄p2/2A0

10

! ⌦ K 1/2A010

⌦ ! ⌅ K̄ A10

! ⌅⇤K̄, ⌦⌘p2/2A0

10

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are related to each other by SU(3) Clebsh-Gordon coeff. Γs of 10→8+8 are fixed by A10

can be constrained by experimental mass and width of Ω(2012) with different quantum numbers

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Partial Decay Widths

NF

QC

D2

01

8

Page 13: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Δ PartnerΔ partner for Ω(2012)Gell-Mann-Okubo→typical mass splitting 100-150 MeV Δ partner →in the mass range 1500-1700 MeV Three reported Δ resonances

Δ(1600), JP=3/2+ (***)

Δ(1620), JP=1/2- (****)

Δ(1700), JP=3/2- (****)

Ξ and Σ decuplet partners are missing Guzey and Polyakov identified Σ partner for Δ(1620) as Σ(1750) , JP=1/2-

F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

NF

QC

D2

01

8

Page 14: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Δ PartnerOnly three open strong channels:

Sum of the 3-body decay branching ratio

F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R

NF

QC

D2

01

8

Experimental data by Belle

Predictions can be made for decay widths of Δ decuplet partner

b = 1���⌦(2012) ! ⌅K

�tot! �

�⌦(2012) ! ⌅K

�= (1� b) · �tot

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⌅K̄ ,⌅K̄⇡ ,⌦�⇡⇡<latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit>

Δ partner for Ω(2012)

Page 15: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Printed by Wolfram Mathematica Student Edition

Δ(1600) with JP=3/2+

Printed by Wolfram Mathematica Student Edition

Δ(1620) with JP=1/2-

b = 1���⌦(2012) ! ⌅K

�tot! �

�⌦(2012) ! ⌅K

�= (1� b) · �tot

<latexit sha1_base64="kaEEVVeolgAezv69yjQ9HCEUjRQ=">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</latexit><latexit sha1_base64="kaEEVVeolgAezv69yjQ9HCEUjRQ=">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</latexit><latexit sha1_base64="kaEEVVeolgAezv69yjQ9HCEUjRQ=">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</latexit><latexit sha1_base64="kaEEVVeolgAezv69yjQ9HCEUjRQ=">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</latexit>

Page 16: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Δ(1700)Partial Decay Width of Δ(1700)Δ D E C U P L E T P A R T N E R

PDG

Sokhoyan

Arndt

Cutkosky

Hoehler

b = 0

b = 0.7

1600 1650 1700 17500

20

40

60

80

MΔ [MeV]

Γ(Δ→Nπ)[MeV

]��⌦(2012) ! ⌅K

�= (1� b) · �tot

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NF

QC

D2

01

8

Page 17: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

PropertiesProperties of new Baryon Decuplet

If b< 0.7

Ω(2012) and Δ(1700) are good candidates for

same decuplet JP=3/2-

Xiao and Zhong (2018) in chiral quark model

and Aliev et al. (2018) in QCD sum rules

suggest the quantum numbers of Ω(2012) are

JP=3/2-

N E W D E C U P L E TN

FQ

CD

20

18

Page 18: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Properties of new Baryon DecupletIf b< 0.7

Other members of the decuplet with JP=3/2-, MΣ=1805±40

MeV, MΞ=1910±40 MeV

Error dominated by uncertainty of Δ(1700) mass

Masses can be shifted due to mixing with nearby

members of JP=3/2- octet (No such states predicted)

Expectation: Gell-Mann-Okubo mass formula should work

well (Mass splitting equidistant and δ10=104±15 MeV)

N E W D E C U P L E TN

FQ

CD

20

18

Page 19: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Our predictions for decuplet partners’ mass and decay width

No candidates in PDG for Σ and Ξ Ξ can be identified with Ξ(1950), but it is very well fitted to baryon octet with JP=5/2- in Guzey and Polyakov

N E W D E C U P L E T

Decay Mode �1 [MeV] �2 [MeV]

� ! N⇡ 29 - 44 39 - 58! ⌃K 0 - 0.2 0 - 2

⌃ ! ⇤⇡ 10 - 16 11 - 18! ⌃⇡ 4 - 7 4 - 7! NK̄ 5 - 10 7 - 12! ⌃ ⌘ 0.01- 0.5 0.01 - 0.5

⌅ ! ⌅⇡ 5 - 9 5 - 9! ⌃K̄ 2 - 5 2 - 5! ⇤K̄ 5 - 9 5 - 10! ⌅⌘ 0 - 0.3 0 - 0.3

⌦ ! ⌅K̄ Input Input

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NF

QC

D2

01

8

Properties of new Baryon Decuplet

Page 20: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

N E W D E C U P L E T

Mass of Ω(2012) is slightly lower than threshold → Ω(2012) could be molecular state If molecule is in S-wave then JP=3/2- , isospin can

be zero (decuplet) or 1 (27-plet) SU(3) formalism does not work for molecular

states SU(3) breaking corrections are of order ~ ms/binding energy (can be very large)

For Ω(2012) as (1530) molecular state an attraction in S-wave is needed

Such attraction can be provided by Weinberg-Tomozawa (WT) term of the effective chiral Lagrangian

K̄⌅<latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="nVibpwiq1mS5CmmxtB8p3x7IwWg=">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</latexit>

K̄Ξ(1530)

NF

QC

D2

01

8

Ω(2012) as (1530) molecular state K̄Ξ

Page 21: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

N E W D E C U P L E T

WT term is studied in Kolomeitsev and Lutz (2004) and Sarkar, Oset and Vacas (2005)

Kolomeitsev and Lutz (2004) Sarkar, Oset and Vacas (2005)

bound state with mass 1950 MeV

two coupled states and with pole position 2141- i38 MeV

NF

QC

D2

01

8

Ω(2012) as molecular state K̄Ξ

K̄Ξ(1530) K̄Ξ(1530)ηΩ−

Page 22: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

N E W D E C U P L E T

If is formed in decuplet (I=0), main decay mode is with partial decay width ~10 MeV For 27-plet (I=1), we expect larger decay width ~

30-50 MeV ( strongly coupled to channel opens) In molecular case Δ(1700) cannot be decuplet partner of Ω(2012)

Another excited Ω hyperon with JP=3/2- in mass region 2000-2150 MeV is expected Measuring decay mode is a good way to understand the nature of Ω(2012)

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K̄Ξ(1530)

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NF

QC

D2

01

8

Ω(2012) as molecular state K̄Ξ

Page 23: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet

Summary & OutlookWe found that Ω(2012) and Δ(1700) can belong to the same SU(3) decuplet with JP=3/2- Mass splitting is determined as δ10=104±15 MeV Masses and decay widths of still missing Σ and Ξ are predicted

Our predictions are valid only if the sum of branching ratios < 70% Branching ratios > 70%, Ω(2012) is molecular state in S-wave with I=0 or I=1.

To understand the nature of the Ω(2012), a measurement of its branching ratio for is crucial

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⌦(2012) ! ⌅K̄⇡, ⌦�⇡⇡<latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="i3HoU0l3AKRgOo6BSCoh7uPBrgI=">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</latexit>

K̄⌅<latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="nVibpwiq1mS5CmmxtB8p3x7IwWg=">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</latexit>

NF

QC

D2

01

8

ΞK̄π

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Thank you for your attention!

Page 25: 18 looking glass of flavor (2012) through the OMEGA ...nfqcd2018/Slide/Tandogan.pdf · Outline Outline Introduction & Goals Partial decay widths of baryons Identification of decuplet