Radiative decays in charmonium beyond the 
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 approximation

Bruschini, R.; González, P.

doi:10.1103/physrevd.101.014027

Cited by 8 publications

(7 citation statements)

References 9 publications

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“…Our choice is based on the assumption that relativistic mass effects in the higher states, which are at least in part incorporated in β, are expected to deviate less from those in the 2s states. We should also mention that the value of the charm quark mass we use is completely consistent with the one needed to correctly describe cc electromagnetic decays within the Cornell potential model framework [23].…”

Section: Charmoniumlike Mesonsmentioning

confidence: 64%

“…The multichannel Schrödinger equation 22together with (23) and (20) define the diabatic approach which is widely employed in molecular physics [19].…”

Section: Diabatic Approachmentioning

confidence: 99%

“…Regarding electromagnetic radiative transitions, although important progress for the accurate calculation of decays from the cc component has been reported [23], a reliable and consistent calculation incorporating the mesonmeson contribution as well is lacking. We encourage a theoretical effort along this line.…”

Section: Charmoniumlike Mesonsmentioning

confidence: 99%

“…Any hidden-bottom meson state, characterized by the quantum numbers J P C , with mass below all possible open-bottom meson-meson thresholds with the same From a technical point of view the extraction of the values of physical observables from a (normalizable) bound state wavefunction is straightforward. In contrast, for a scattering wavefunction it requires the development of a dedicated formalism [23]. Taking into account that the difference in the wave functions is associated to the presence of open meson-meson components in the scattering case, which are asymptotically free, one can approach a scattering resonance solution through a two-step procedure.…”

Section: State Descriptionmentioning

confidence: 99%

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Diabatic description of charmoniumlike mesons

Bruschini

González

2020

Phys. Rev. D

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We apply the diabatic formalism, first introduced in molecular physics, to the description of heavy-quark mesons. In this formalism the dynamics is completely described by a diabatic potential matrix whose elements can be derived from unquenched lattice QCD studies of string breaking. For energies far below the lowest open flavor meson-meson threshold, the resulting diabatic approach reduces to the well-known Born-Oppenheimer approximation where heavy-quark meson masses correspond to energy levels in an effective quark-antiquark potential. For energies close below or above that threshold, where the Born-Oppenheimer approximation fails, this approach provides a set of coupled Schrödinger equations incorporating meson-meson components nonperturbatively, i.e., beyond loop corrections. A spectral study of heavy mesons containing cc with masses below 4.1 GeV is carried out within this framework. From it a unified description of conventional as well as unconventional resonances comes out.

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Section: Charmoniumlike Mesonsmentioning

confidence: 64%

“…The multichannel Schrödinger equation 22together with (23) and (20) define the diabatic approach which is widely employed in molecular physics [19].…”

Section: Diabatic Approachmentioning

confidence: 99%

Section: Charmoniumlike Mesonsmentioning

confidence: 99%

Section: State Descriptionmentioning

confidence: 99%

See 2 more Smart Citations

Diabatic description of charmoniumlike mesons

Bruschini

González

2020

Phys. Rev. D

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“…( 17) and ( 22) has been shown elsewhere [19] and is reproduced, for the sake of completeness, in Appendix A. In short, the troublesome NACTs in (17) that break the single channel approximation when configuration mixing is present (thus invalidating the B-O framework) are taken into account in (22) through the diabatic potential matrix. This is utterly convenient since, as we shall see in Sec.…”

Section: Diabatic Approachmentioning

confidence: 97%

Diabatic description of charmonium-like mesons

Bruschini,

González

2020

Preprint

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We apply the diabatic formalism, first introduced in molecular physics, to the description of heavyquark mesons. In this formalism the dynamics is completely described by a diabatic potential matrix whose elements can be derived from unquenched lattice QCD studies of string breaking. For energies far below the lowest open flavour meson-meson threshold, the resulting diabatic approach reduces to the well-known Born-Oppenheimer approximation where heavy-quark meson masses correspond to energy levels in an effective potential between quark and antiquark. For energies close below or above that threshold, where the Born-Oppenheimer approximation fails, this approach provides a set of coupled Schrödinger equations incorporating meson-meson components nonperturbatively, i.e. beyond loop corrections. A spectral study of heavy mesons containing cc with masses below 4.1 GeV is carried out within this framework. From it a unified description of conventional as well as unconventional resonances comes out.

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χc1(2p): an overshadowed charmoniumlike resonance

Bruschini

González

2023

J. High Energ. Phys.

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A thorough study of the JPC = 1++ elastic $$ {D}^0{\overline{D}}^{\ast 0} $$ D 0 D ¯ ∗ 0 and D+D∗− scattering, where the form of the meson-meson interaction is inferred from lattice QCD calculations of string breaking, is carried out for center-of-mass energies up to 4 GeV. We show that the presence of χc1(3872), which can be naturally assigned to either a bound or virtual charmoniumlike state close below the $$ {D}^0{\overline{D}}^{\ast 0} $$ D 0 D ¯ ∗ 0 threshold, can overshadow a quasiconventional charmoniumlike resonance lying above threshold. This makes difficult the experimental detection of this resonance through the $$ {D}^0{\overline{D}}^{\ast 0} $$ D 0 D ¯ ∗ 0 and D+D∗− channels, despite being its expected main decay modes. We analyze alternative strong and electromagnetic decay modes. Comparison with existing data shows that this resonance may have already been observed through its decay to ωJ/ψ.

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Radiative decays in charmonium beyond the p/m approximation

Cited by 8 publications

References 9 publications

Diabatic description of charmoniumlike mesons

Diabatic description of charmoniumlike mesons

Diabatic description of charmonium-like mesons

χc1(2p): an overshadowed charmoniumlike resonance

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