Dynamics of charm molecules

Gutbrod, F.; Krämer, G.; Rumpf, Ch.

doi:10.1007/bf01546978

Cited by 10 publications

(8 citation statements)

References 24 publications

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“…[126] and references therein. Several authors have considered the possibility of mesonic analogues of the deuteron, namely molecules (deusons) formed of mesons and (anti-) mesons bound by pion exchange [127][128][129][130][131][132][133]. Within the last decade the idea has received renewed interest due to the X(3872) and other states in the charmonia and bottomonia mass regions apparently correlated with meson-meson thresholds [134][135][136][137][138][139][140][141][142][143][144][145][146][147][148][149][150][151].…”

Section: E Pseudoscalar-meson Emission Modelsmentioning

confidence: 99%

Angular momentum coefficients for meson strong decay and unquenched quark models

Burns

2014

Phys. Rev. D

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In most meson strong decay and unquenched (coupled-channel) quark models, the pair-creation operator is a scalar product of vectors in the spin and spatial degrees of freedom. While differing in the spatial part, most models have the same spin part, which creates a qq pair coupled to spin triplet, with the spins of the initial quarks as spectators. This is a basic assumption of the 3 P0 model, and is well-known to arise also in the flux tube model, starting from the strong coupling expansion of lattice QCD. In this article the same structure is shown to emerge in the Cornell model, in the dominant contributions of a more general microscopic decay model, and in the pseudoscalarmeson emission model. A solution is obtained for arbitrary matrix elements in these "non-flip, triplet" models, expressed as a weighted sum over spatial matrix elements. The coefficients in the expansion, which involve the spin degrees of freedom and the associated angular momentum algebra, are model-independent. Tables of the angular momentum coefficients are presented which can be used in future calculations, avoiding tedious Clebsch-Gordan sums. The symmetry and orthogonality properties of the coefficients are discussed, as well as their application to transitions involving hybrid mesons and states of mixed spin. New selection rules are derived, and existing ones generalised. The coefficients lead to model-independent relations among decay amplitudes and widths which can be tested in experiment and lattice QCD. They can also be used to explain how mass shifts in the unquenched quark model do not spoil successful predictions of the ordinary (quenched) quark model.

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Section: E Pseudoscalar-meson Emission Modelsmentioning

confidence: 99%

Angular momentum coefficients for meson strong decay and unquenched quark models

Burns

2014

Phys. Rev. D

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“…The numerical analysis used 24 stochastic samples on each of 60 quenched gauge configurations, generated [16] on a 12 3 × 24 lattice at β = 5.7, corresponding to a −1 = 1.10 GeV. With improved clover coefficient C SW = 1.57, we use a value of κ 1 = 0.14077 which corresponds to a bare mass of the light quark around the strange mass and gives a pseudoscalar to vector mass ratio of 0.650 (7).…”

Section: Fermion Formalismmentioning

confidence: 99%

“…However, there is also considerable interest in obtaining predictions from first principles for multi-quark systems which can be decomposed into more than one colour singlet. In addition to the complicated cases of nuclei, simple multi-quark systems have been proposed to exist as bound states [1,2,3]. Four quarks forming colour singlets or as bound states of two mesons are candidates for particles lying close to meson-antimeson threshold, such as a 0 (980), f 0 (980) (K K), f 0 (1500), f 2 (1500) (ωω, ρρ), f J (1710) (K * K * ), ψ(4040) (D * D * ), Υ(10580) (B * B * ) [4].…”

Section: Introductionmentioning

confidence: 99%

Two heavy-light mesons on a lattice

Michael

Pennanen

1999

Phys. Rev. D

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The potential between two heavy-light mesons as a function of the heavy quark separation is calculated in quenched SU(3) lattice QCD. We study the case of heavy-light mesons with a static heavy quark and light quarks of mass close to the strange quark mass. We explore the case of light quarks with the same and with different flavours, classified according to the light quark isospin. We evaluate the appropriate light quark exchange contributions and explore the spin-dependence of the interaction. Comparison is made with meson exchange.Comment: 31 pages, 10 figures; error bars in Fig. 2 corrected (now smaller

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“…( 5), to which the tensor part contributes with same sign as the central part since < 3 P 0 |S 12 | 3 P 0 >= +2. Therefore these add giving a remarkably strong potential (5), which is attractive for C=+ i.e., J P C = 0 −+ . Thus an especially interesting new situation appears: The tensor part with its r −2 and r −3 terms contributes, with much stronger attraction than the central part, directly to the 3 P 0 wave, and not through a second order coupling of S and D waves as for the deuteron.…”

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confidence: 99%

On deusons or deuteronlike meson-meson bound states

1994

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Abstract. The systematics of deuteronlike two-meson bound states, deusons, is discussed. Previous arguments that many of the present non-qq states are such states are elaborated including, in particular, the tensor potential. For pseudoscalar states the important observation is made that the centrifugal barrier from the P-wave can be overcome by the 1/r 2 and 1/r 3 terms of the tensor potential. In the heavy meson sector one-pion exchange alone is strong enough to form at least deuteron-like BB * and B * B * composites bound by approximately 50 MeV, while DD * and D * D * states are expected near the threshold.

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Dynamics of charm molecules

Cited by 10 publications

References 24 publications

Angular momentum coefficients for meson strong decay and unquenched quark models

Angular momentum coefficients for meson strong decay and unquenched quark models

Two heavy-light mesons on a lattice

On deusons or deuteronlike meson-meson bound states

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