Novel implementation of the multipole expansion to quarkonium hadronic transitions

Pineda, A. Morelos; Castellà, Jaume Tarrús

doi:10.1103/physrevd.100.054021

Cited by 20 publications

(13 citation statements)

References 62 publications

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“…Since pions have masses parametrically smaller than Λ QCD , they could be incorporated to the EFT in a modelindependent way, by using a formalism similar to Heavy Baryon Chiral Perturbation Theory [56], that was used in Refs. [47,57] for hybrids and tetraquarks. The outcome would be similar to hadronic chiral theories, see for instance [58], but with r-dependent low-energy constants.…”

Section: Discussionmentioning

confidence: 99%

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Nonrelativistic effective field theory for heavy exotic hadrons

Soto

Castellà

2020

Phys. Rev. D

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We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on nonrelativistic QCD and inspired in the strong coupling regime of potential nonrelativistic QCD. We construct the effective theory at leading and next-to-leading order in the inverse heavy quark mass expansion for arbitrary quantum numbers of the light degrees of freedom. Hence our results hold for hybrids, tetraquarks, double heavy baryons and pentaquarks, for which we also present the corresponding operators at a nonrelativistic level. At leading order, the effective theory enjoys heavy quark spin symmetry and corresponds to the Born-Oppenheimer approximation. At next-to-leading order, spin and velocity-dependent terms arise, which produce splittings in the heavy quark spin symmetry multiplets. A concrete application to double heavy baryons is presented in an accompanying paper.

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Section: Discussionmentioning

confidence: 99%

“…These projection vectors for κ ¼ 1 were used in Refs. [35,36,43,44,47] in the construction of EFT for hybrid quarkonium. The spin operator projected into the heavy quark pair axis can be expanded in these projector vectors…”

Section: Eft For Heavy Exotic Hadronsmentioning

confidence: 99%

Nonrelativistic effective field theory for heavy exotic hadrons

Soto

Castellà

2020

Phys. Rev. D

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“…Since pions have masses parametrically smaller than Λ QCD , they could be incorporated to the EFT in a model independent way, by using a formalism similar to Heavy Baryon Chiral Perturbation Theory [53], that was used in Refs. [44,54] for hybrids and tetraquarks. The outcome would be similar to hadronic chiral theories, see for instance [55], but with r-dependent low-energy constants.…”

Section: Discussionmentioning

confidence: 99%

“…These projection vectors for κ = 1 were used in Refs. [32,33,40,41,44] in the construction of EFT for hybrid quarkonium. The spin operator projected into the heavy-quark pair axis can be expanded in these projector vectors…”

Section: Eft For Heavy Exotic Hadronsmentioning

confidence: 99%

Nonrelativistic effective field theory for heavy exotic hadrons

Soto,

Castellà

2020

Preprint

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We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on Non-Relativistic QCD and inspired in the strong coupling regime of Potential Non-Relativistic QCD. We construct the effective theory at leading and next-to-leading order in the inverse heavy-quark mass expansion for arbitrary quantum numbers of the light degrees of freedom. Hence our results hold for hybrids, tetraquarks, double heavy baryons and pentaquarks, for which we also present the corresponding operators at Non-Relativistic level. At leading order, the effective theory enjoys heavy quark spin symmetry and corresponds to the Born-Oppenheimer approximation. At next-to-leading order, spin and velocity dependent terms arise, which produce splittings in the heavy-quark spin symmetry multiplets. A concrete application to double heavy baryons is presented in an accompanying paper.

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“…[22,23] for the heavy-quark spin dependent potentials of quarkonium hybrids and in Refs. [24,25] for the hybrid and standard quarkonium transitions.…”

Section: Short-distance Regimementioning

confidence: 99%

Doubly heavy baryons in Born-Oppenheimer EFT

Castellà

2022

EPJ Web Conf.

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We report on the recent progress on the computation of the doubly heavy baryon spectrum in effective field theory. The effective field theory is built upon the heavy-quark mass and adiabatic expansions. The potentials can be expressed as NRQCD Wilson loops with operator insertions. These are nonperturbative objects and so far only the one corresponding to the static potential has been computed with lattice QCD. We review the proposal for a parametrization of the potentials based in an interpolation between the shortand long-distance regimes. The long-distance description is obtained with a newly proposed Effective String Theory which coincides with the previous ones for pure gluodynamics but it is extended to contain a fermion field. We show the doubly heavy baryon spectrum with hyperfine contributions obtained using these parametrizations for the hyperfine potentials.

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Novel implementation of the multipole expansion to quarkonium hadronic transitions

Cited by 20 publications

References 62 publications

Nonrelativistic effective field theory for heavy exotic hadrons

Nonrelativistic effective field theory for heavy exotic hadrons

Nonrelativistic effective field theory for heavy exotic hadrons

Doubly heavy baryons in Born-Oppenheimer EFT

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