Abstract

We present the first full-fledged study of the flavor-exotic isoscalar Tbb−≡bbu¯d¯ tetraquark with spin and parity JP=1+. We report accurate solutions of the four-body problem in a quark model, characterizing the structure of the state as a function of the ratio MQ/mq of the heavy to light quark masses. For such a standard constituent model, Tbb− lies approximately 150 MeV below the strong decay threshold B−B⁎¯0 and 105 MeV below the electromagnetic decay threshold B−B¯0γ. We evaluate the lifetime of Tbb−, identifying the promising decay modes where the tetraquark might be looked for in future experiments. Its total decay width is Γ≈87×10−15 GeV and therefore its lifetime τ≈ 7.6 ps. The promising final states are B⁎−D⁎+ℓ−ν¯ℓ and B⁎¯0D⁎0ℓ−ν¯ℓ among the semileptonic decays, and B⁎−D⁎+Ds⁎−, B⁎¯0D⁎0Ds⁎−, and B⁎−D⁎+ρ− among the nonleptonic ones. The semileptonic decay to the isoscalar JP=0+ tetraquark Tbc0 is also relevant but it is not found to be dominant. There is a broad consensus about the existence of this tetraquark, and its detection will validate our understanding of the low-energy realizations of Quantum Chromodynamics (QCD) in the multiquark sector.

Highlights

  • Hadronic physics has been much stimulated during the last two decades by the experimental discovery of several new resonances in the hidden-charm sector, resonances that are hardly accommodated in the traditional quark-antiquark or three-quark picture [1]

  • The promising final states are B∗− D∗+ l− νl and B∗0 D∗0 l− νl among the semileptonic decays, and B∗− D∗+ Ds∗−, B∗0 D∗0 Ds∗−, and B∗− D∗+ ρ− among the nonleptonic ones

  • There is a broad consensus about the existence of this tetraquark, and its detection will validate our understanding of the low-energy realizations of Quantum Chromodynamics (QCD) in the multiquark sector

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Summary

INTRODUCTION

Hadronic physics has been much stimulated during the last two decades by the experimental discovery of several new resonances in the hidden-charm sector, resonances that are hardly accommodated in the traditional quark-antiquark or three-quark picture [1]. [7], tetbhhneeeelormwgccyatsdohsifeqoaufsattQhrrokeQndignoduidqtbehulceyaa-rycΞkh.+ctach+rArmesbsshbauroamylrdoyinnoBgn, ̄BtΞthh∗+ceac.+tm,ItndahisesRscboeobvff.edtr[i8heqd]eu, ab(try0hk)et1hb+heienLaddvHoinyuCg-bqblueyCna-berorkolgl-tasytbyomoimnrmaatteeiottTrrnby−ab[q1mut5eaa]t,rsrkisasqriuusesaleaerdstktitoiimonsscatathlelieindbksritaanomtgebethehaeeas2vb1ty5ihn-MalditgienhoVgtf and doubly-heavy-light mesons and baryons are combined with leading-order corrections for finite heavy-quark mass, corresponding to hyperfine spin-dependent terms and kinetic energy shift that depends only on the light degrees of freedom This leads to predict that the Tb−b state is stable against strong decays. [9], the Schrodinger equation is solved with a potential extracted from a lattice QCD calculation for static heavy quarks, in a regime where the pion mass is mπ ∼ 340 MeV, and again, evidence is found for a stable isoscalar doubly-bottom axial-vector tetraquark. The compelling theoretical evidence for the existence of a Tb−b tetraquark has led to preliminary studies of its lifetime and weak decay modes

TETRAQUARK MASS AND WAVE FUNCTION
SUMMARY AND OUTLOOK

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