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Molecular States of Heavy Quark Mesons
High Energy Physics - Phenomenology · Submitted 7 Nov 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Molecular states are found in the combinations of {D, D*, B, B*} with {Dbar, Dbar*, Bbar, Bbar*}, including a weakly-bound D-Dbar* state near the threshold which may be qualitatively identified as the 3872 state observed recently by the Belle Collaboration.
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The abstract, sentence by sentence
We explore molecular states of two open heavy-quark mesons (Q qbar)-(qbar Q) in a quark-based model in terms of a four-body non-relativistic Hamiltonian with pairwise effective interactions. Molecular states are found in the combinations of {D, D*, B, B*} with {Dbar, Dbar*, Bbar, Bbar*}, including a weakly-bound D-Dbar* state near the threshold which may be qualitatively identified as the 3872 state observed recently by the Belle Collaboration.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We explore molecular states of two open heavy-quark mesons (Q qbar)-(qbar Q) in a quark-based model in terms of a four-body non-relativistic Hamiltonian with pairwise effective interactions. | method 0.68 | 0.91 | 0.08 | asserted 0.88 |
| s1 | Molecular states are found in the combinations of {D, D*, B, B*} with {Dbar, Dbar*, Bbar, Bbar*}, including a weakly-bound D-Dbar* state near the threshold which may be qualitatively identified as the 3872 state observed recently by the Belle Collaboration. | result 0.98 | 0.93 | 0.77 | asserted 0.56 |
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The paper
Original abstract
We explore molecular states of two open heavy-quark mesons (Q qbar)-(qbar Q) in a quark-based model in terms of a four-body non-relativistic Hamiltonian with pairwise effective interactions. Molecular states are found in the combinations of {D, D*, B, B*} with {Dbar, Dbar*, Bbar, Bbar*}, including a weakly-bound D-Dbar* state near the threshold which may be qualitatively identified as the 3872 state observed recently by the Belle Collaboration.
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References
How the literature uses it
47 arXiv papers cite this in 61 sentences
Papers citing it · 40 sentences without a confident label
Contests it 1 paper
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Meanwhile, Ref. [ref] predicted both $D^0 D̅^*0$ and $D^+ D̅^*-$ bound states, which the lack of $I=1$ partners to the $X(3872)$ seems to preclude.
Heavy-Quark QCD Exotica · Case Study: $X(3872)$ as a Molecule · contest 0.81
Uses its method or tool 1 paper
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On the other hand this integration can be performed in momentum space as well, then the calculation will be greatly simplified [ref] , [equation] where [equation] Note that $V^(k)(𝐩)$ can be read from Eq.([ref]) directly.
${\rm Z}^{+}(4430)$ and Analogous Heavy Flavor States · Evaluation of the matrix element $V_Iαα'(𝐫)$ · 0.99
Uses its data or values 2 papers
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Given the proximity of the observed mass ($m_X(3872)=3871.64±0.06$ [ref] ) to the $D^0D̅^*0$ ($D̅^0D^*0$) threshold ($m_D^0+m_D̅^*0=3871.69±0.07$), a natural interpretation is that of a shallow $D^0D̅^*0$ molecular bound state [ref] with a very narrow width ($Γ_X(3872)=1.19±0.21$ [ref] ).
Hadron properties at finite temperature · Doubly heavy exotic mesons · 0.99
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In Ref. [ref] the screening mass $μ$ is taken to be 0.28 GeV, which was found to be consistent with the string breaking mechanism and meanwhile give a good description of the charmonium masses [ref] .
${\rm Z}^{+}(4430)$ and Analogous Heavy Flavor States · $Z^+(4430)$ and $D^*D_1$ molecular state · 0.88
Cites it as background 15 papers
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There have been a number of hypotheses for its nature including it being a $D^*0 D̅^0$ molecule [ref] , a hybrid [ref] , a tetraquark [ref] , and even a conventional charmonium [ref] , but there seems to be no consensus on which the correct interpretation of this state is.
Hadroproduction data support tetraquark hypothesis for $\chi_{c1} (3872)$ · Introduction · 1.00
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It has been identified as a tetraquark [ref] , as a $D̅ D^*$ molecule [ref] , as $cc̅$ core plus molecular components [ref] , and as a hybrid state [ref] .
Charmonium spectrum with a Dirac potential model in the momentum space · $X(3915)$, $X(3872)$ and $χ_c2(2P)$ · 0.97
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In the literature, $X(3872)$ has been interpreted as a $cc̅g$ hybrid state [ref] , a diquark-antidiquark state [ref] , a $cc̅$ and meson cloudy mixing state [ref] or a deuteron-like molecular state concerning its mass is approximate to the threshold of $D^0D^∗ 0$ [ref] .
Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity · Introduction · 0.99
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