Dynamical supersymmetry for the strange quark and $ud$ antidiquark in the hadron mass spectrum

Amano, Taiju; Jido, Daisuke

doi:10.1093/ptep/ptz090

Dynamical supersymmetry for the strange quark and $ud$ antidiquark in the hadron mass spectrum

Taiju Amano
(
- Tokyo Metropolitan U. and
- Tokyo Inst. Tech.
)
,
Daisuke Jido
(
- Tokyo Metropolitan U. and
- Tokyo Inst. Tech.
)

Apr 8, 2019

22 pages

Published in:

PTEP 2019 (2019) 9, 093D02

Published: Sep 1, 2019

e-Print:

1904.03882 [hep-ph]

DOI:

10.1093/ptep/ptz090

View in:

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Abstract: (Oxford University Press)

Speculating that the |

ud

| diquark with spin 0 has a similar mass to the constituent |

s

| quark, we introduce a symmetry between the |

s

| quark and the |

\overline{ud}

| diquark. Constructing an algebra for this symmetry, we regard a triplet of the |

s

| quarks with spin up and down and the |

\overline{ud}

| diquark with spin 0 as a fundamental representation of this algebra. We further build higher representations constructed by direct products of the fundamental representations. We propose assignments of hadrons to the multiples of this algebra. We find in particular that |

\{D_{s}, D_{s}^{*}, \Lambda_{c}\}

|⁠, |

\{\eta_{s}, \phi, \Lambda, f_{0}(1370)\}

|⁠, and |

\{\Omega_{c}, T_{sc}\}

| form a triplet, a nonet, and a quintet, respectively, where |

T_{sc}

| is a genuine tetraquark meson composed of |

\overline{ud}sc

|⁠. We also find a mass relation between them by introducing symmetry breaking due to the mass difference between the |

s

| quark and the |

\overline{ud}

| diquark. The masses of the possible tetraquarks |

\overline{ud}sc

| and |

\overline{ud}sb

| are estimated from the symmetry breaking and the masses of |

\Omega_{c}

| and |

\Omega_{b}

| to be 2.942 GeV and 6.261 GeV, respectively.

Note:

22 pages

D32 Hadron structure and interactions
spin: 0
algebra: representation
hadron: mass spectrum
quark
diquark
triplet
symmetry breaking
mass difference
supersymmetry

References(63)

Figures(0)

[1]

Derivation of strong interactions from a gauge invariance

Yuval Ne'eman
(
- Imperial Coll., London
)

- Nucl.Phys. 26 (1961) 222-229,
•
DOI:
- 10.1016/0029-5582(61)90134-1

[1]

Derivation of strong interactions from a gauge invariance

Yuval Ne'eman
(
- Imperial Coll., London
)

- Nucl.Phys. 26 (1961) 222-229,
•
DOI:
- 10.1016/0029-5582(61)90134-1

[2]

Symmetries of baryons and mesons

Murray Gell-Mann
(
- Caltech
)

- Phys.Rev. 125 (1962) 1067-1084
•
DOI:
- 10.1103/PhysRev.125.1067

[2]

Symmetries of baryons and mesons

Murray Gell-Mann
(
- Caltech
)

- Phys.Rev. 125 (1962) 1067-1084
•
DOI:
- 10.1103/PhysRev.125.1067

[3]

Charge Independence for V-particles

T. Nakano
(
- Osaka City U.
)
,
K. Nishijima
(
- Osaka City U.
)

- Prog.Theor.Phys. 10 (1953) 581-582
•
DOI:
- 10.1143/PTP.10.581

[3]

Charge Independence for V-particles

T. Nakano
(
- Osaka City U.
)
,
K. Nishijima
(
- Osaka City U.
)

- Prog.Theor.Phys. 10 (1953) 581-582
•
DOI:
- 10.1143/PTP.10.581

[4]

Isotopic Spin and New Unstable Particles

M. Gell-Mann
(
- Chicago U., EFI
)

- Phys.Rev. 92 (1953) 833-834
•
DOI:
- 10.1103/PhysRev.92.833

[4]

Isotopic Spin and New Unstable Particles

M. Gell-Mann
(
- Chicago U., EFI
)

- Phys.Rev. 92 (1953) 833-834
•
DOI:
- 10.1103/PhysRev.92.833

[5]

A Schematic Model of Baryons and Mesons

Murray Gell-Mann
(
- Caltech
)

- Phys.Lett. 8 (1964) 214-215,
- Also in *Lichtenberg, D.B. (ed.), Rosen, S.P., (ed.), Developments In The Quark Theory Of Hadrons, Vol. 1*, 20-21
•
DOI:
- 10.1016/S0031-9163(64)92001-3

[5]

A Schematic Model of Baryons and Mesons

Murray Gell-Mann
(
- Caltech
)

- Phys.Lett. 8 (1964) 214-215,
- Also in *Lichtenberg, D.B. (ed.), Rosen, S.P., (ed.), Developments In The Quark Theory Of Hadrons, Vol. 1*, 20-21
•
DOI:
- 10.1016/S0031-9163(64)92001-3

[6]

Note on unitary symmetry in strong interactions

Susumu Okubo
(
- Tokyo U. and
- Rochester U.
)

- Prog.Theor.Phys. 27 (1962) 949-966
•
DOI:
- 10.1143/PTP.27.949

[6]

Note on unitary symmetry in strong interactions

Susumu Okubo
(
- Tokyo U. and
- Rochester U.
)

- Prog.Theor.Phys. 27 (1962) 949-966
•
DOI:
- 10.1143/PTP.27.949

[7]

Baryon resonances in a quark model

- Prog.Theor.Phys. 36 (1966) 846
•
DOI:
- 10.1143/PTP.36.846

[7]

Baryon resonances in a quark model

- Prog.Theor.Phys. 36 (1966) 846
•
DOI:
- 10.1143/PTP.36.846

[8]

Baryon Mass Splitting in a Boson-Fermion Model

D.B. Lichtenberg
(
- Indiana U. and
- Australian Natl. U., Canberra
)
,
L.J. Tassie
(
- Indiana U. and
- Australian Natl. U., Canberra
)

- Phys.Rev. 155 (1967) 1601-1606
•
DOI:
- 10.1103/PhysRev.155.1601

[8]

Baryon Mass Splitting in a Boson-Fermion Model

D.B. Lichtenberg
(
- Indiana U. and
- Australian Natl. U., Canberra
)
,
L.J. Tassie
(
- Indiana U. and
- Australian Natl. U., Canberra
)

- Phys.Rev. 155 (1967) 1601-1606
•
DOI:
- 10.1103/PhysRev.155.1601

[9]

Diquarks

Mauro Anselmino
(
- Turin U. and
- INFN, Turin
)
,
Enrico Predazzi
(
- Turin U. and
- INFN, Turin
)
,
Svante Ekelin
(
- Royal Inst. Tech., Stockholm
)
,
Sverker Fredriksson
(
- Lulea U.
)
,
D.B. Lichtenberg
(
- Indiana U.
)

- Rev.Mod.Phys. 65 (1993) 1199-1234
•
DOI:
- 10.1103/RevModPhys.65.1199

[9]

Diquarks

Mauro Anselmino
(
- Turin U. and
- INFN, Turin
)
,
Enrico Predazzi
(
- Turin U. and
- INFN, Turin
)
,
Svante Ekelin
(
- Royal Inst. Tech., Stockholm
)
,
Sverker Fredriksson
(
- Lulea U.
)
,
D.B. Lichtenberg
(
- Indiana U.
)

- Rev.Mod.Phys. 65 (1993) 1199-1234
•
DOI:
- 10.1103/RevModPhys.65.1199

[10]

Exotica

R.L. Jaffe
(
- MIT, LNS
)

- Phys.Rept. 409 (2005) 1-45,
- In *Minneapolis 2004, Continuous advances in QCD* 191-214,
•
e-Print:
- hep-ph/0409065
•
DOI:
- 10.1016/j.physrep.2004.11.005

[10]

Exotica

R.L. Jaffe
(
- MIT, LNS
)

- Phys.Rept. 409 (2005) 1-45,
- In *Minneapolis 2004, Continuous advances in QCD* 191-214,
•
e-Print:
- hep-ph/0409065
•
DOI:
- 10.1016/j.physrep.2004.11.005