Role of the Short-Range Dynamics in the Formation of $D^{(*)}\bar D^{(*)}/B^{(*)}\bar B^{(*)} $ Hadronic Molecules - INSPIRE

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Role of the Short-Range Dynamics in the Formation of $D^{()}\bar D^{()}/B^{()}\bar B^{()}$ Hadronic Molecules

Nijiati Yalikun
(
- Xinjiang U.
)
,
Xiang-Kun Dong
(
- Bonn U. and
- Bonn U., HISKP
)
,
Ulf-G. Meißner
(
- Bonn U. and
- Bonn U., HISKP and
- IAS, Julich and
- Beijing, CSRC
)

Mar 3, 2025

11 pages

e-Print:

2503.01322 [hep-ph]

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Abstract: (arXiv)

We investigate potential hadronic molecular states in the

D^{(*)}\bar D^{(*)}

and

B^{(*)}\bar B^{*}

systems using light meson exchange interactions. Our analysis focuses on coupled-channel systems with spin-parity quantum numbers

J^{PC}=0^{++}

,

1^{+\pm}

and

2^{++}

, examining how the

\delta(r)

potential affects states near threshold. Using coupled-channel analysis, we reproduce the

X(3872)

mass with a given cutoff for the

(I)J^{PC}=(0)1^{++}

state, finding a minimal impact from the

\delta(r)

term. At this cutoff, both the

(0)0^{++}

state near the

D\bar D

threshold and the

(0)1^{+-}

state near the

D\bar D^*

threshold show less sensitivity to the

\delta(r)

term compared to the three states-

(0)0^{++}

,

(0)1^{+-}

, and

(0)2^{++}

-near the

D^*\bar D^*

threshold. As anticipated, the

B^{(*)}\bar B^{*}

systems exhibit similar behavior but with stronger binding due to their larger reduced mass. These findings suggest promising directions for future experimental searches, particularly in the isoscalar sector, which could substantially advance our understanding of exotic tetraquark states.

Note:

11 pages, 6 figures

References(130)

Figures(7)

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)
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Teng Ji
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)
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Nils A. Tornqvist
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)

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Mahiko Suzuki
(
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)

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•
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•
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Mohammad T. AlFiky
(
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)
,
Fabrizio Gabbiani
(
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)
,
Alexey A. Petrov
(
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)

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(
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)
,
Yu.S Kalashnikova
(
- Moscow, ITEP
)
,
Alexander Evgenyevich Kudryavtsev
(
- Moscow, ITEP
)
,
A.V Nefediev
(
- Moscow, ITEP
)

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•
e-Print:
- 0704.0605
•
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•
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•
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[16]

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Sean Fleming
(
- Arizona U.
)
,
Thomas Mehen
(
- Duke U.
)

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•
e-Print:
- 0807.2674
•
DOI:
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[17]

Is $X(3872)$ Really a Molecular State?

Yan-Rui Liu
(
- Beijing, Inst. High Energy Phys.
)
,
Xiang Liu
(
- Peking U.
)
,
Wei-Zhen Deng
(
- Peking U.
)
,
Shi-Lin Zhu
(
- Peking U.
)

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•
e-Print:
- 0801.3540
•
DOI:
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[18]

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Daniel Gamermann
(
- Valencia U. and
- Valencia U., IFIC
)
,
Eulogio Oset
(
- Valencia U. and
- Valencia U., IFIC
)

- Phys.Rev.D 80 (2009) 014003
•
e-Print:
- 0905.0402
•
DOI:
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[19]

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C. Bignamini
(
- INFN, Pavia and
- Karlsruhe U., ITP
)
,
B. Grinstein
(
- UC, San Diego
)
,
F. Piccinini
(
- INFN, Pavia
)
,
A.D. Polosa
(
- INFN, Rome
)
,
C. Sabelli
(
- Rome U. and
- INFN, Rome
)

- Phys.Rev.Lett. 103 (2009) 162001
•
e-Print:
- 0906.0882
•
DOI:
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[20]

The Heavy Quark Spin Symmetry Partners of the X(3872)

J. Nieves
(
- Valencia U., IFIC
)
,
M.Pavon Valderrama
(
- Valencia U. and
- Valencia U., IFIC
)

- Phys.Rev.D 86 (2012) 056004
•
e-Print:
- 1204.2790
•
DOI:
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[21]

Production of the X(3872) in charmonia radiative decays

Feng-Kun Guo
(
- Bonn U., HISKP and
- Bonn U.
)
,
Christoph Hanhart
(
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich
)
,
Ulf-G. Meißner
(
- Bonn U., HISKP and
- Bonn U. and
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich
)
,
Qian Wang
(
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich
)
,
Qiang Zhao
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)

- Phys.Lett.B 725 (2013) 127-133
•
e-Print:
- 1306.3096
•
DOI:
- 10.1016/j.physletb.2013.06.053

[22]

$Z_c(3900)$ - what is inside?

M.B. Voloshin
(
- Minnesota U. and
- Minnesota U., Theor. Phys. Inst. and
- Moscow, ITEP
)

- Phys.Rev.D 87 (2013) 9, 091501
•
e-Print:
- 1304.0380
•
DOI:
- 10.1103/PhysRevD.87.091501

[23]

Analysis of the $X(3872)$ , $Z_c(3900)$ and $Z_c(3885)$ as axial-vector tetraquark states with QCD sum rules

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•
e-Print:
- 1310.2422
•
DOI:
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[24]

Evidence for X(3872) from DD* scattering on the lattice

Sasa Prelovsek
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Luka Leskovec
(
- Stefan Inst., Ljubljana
)

- Phys.Rev.Lett. 111 (2013) 192001
•
e-Print:
- 1307.5172
•
DOI:
- 10.1103/PhysRevLett.111.192001

[25]

X(3872) and its Partners in the Heavy Quark Limit of QCD

C. Hidalgo-Duque
(
- Valencia U., IFIC
)
,
J. Nieves
(
- Valencia U., IFIC
)
,
A. Ozpineci
(
- Valencia U., IFIC
)
,
V. Zamiralov
(
- Lomonosov Moscow State U.
)

- Phys.Lett.B 727 (2013) 432-437
•
e-Print:
- 1305.4487
•
DOI:
- 10.1016/j.physletb.2013.10.056

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