Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes

Abstract

Heavy hadron molecules were first theorized from a crude analogy with the deuteron and the nuclear forces binding it, a conjecture which was proven to be on the right track after the discovery of the $X(3872)$. However, this analogy with nuclear physics has not been seriously exploited beyond a few calculations in the two- and three-body sectors, leaving a great number of possible theoretical consequences unexplored. Here we show that nuclear and heavy hadron effective field theories are formally identical: using a suitable notation, there is no formal difference between these two effective field theories. For this, instead of using the standard heavy superfield notation, we have written the heavy hadron interactions directly in terms of the light quark degrees of freedom. We give a few examples of how to exploit this analogy, e.g. the calculation of the two-pion exchange diagrams. Yet the most relevant application of the present idea is the conjecture of exotic nuclear landscapes, i.e. the possibility of few heavy hadron bound states with characteristics similar to those of the standard nuclei.

Prepared for the special issue of "The tower of effective (field) theories and the emergence of nuclear phenomena"; 14 pages, 3 tables and 2 figures; corresponds with published version

References in corpus (29)

• Heavy quarkonium: progress, puzzles, and opportunities
• Chiral effective field theory and nuclear forces
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Charmed bottom baryon spectroscopy from lattice QCD
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• X(3872) and Other Possible Heavy Molecular States
• Pion Interactions in the X(3872)
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Universal Properties of the Four-Body System with Large Scattering Length
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Isospin breaking effects in the X(3872) resonance
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• Short-range nuclear forces in singlet channels
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• Novel Method for Precisely Measuring the $X(3872)$ Mass
• Four-Body Scale in Universal Few-Boson Systems
• Detecting the long-distance structure of the X(3872)
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Generalized Efimov scenario for heavy-light mixtures
• Deuteron-like states composed of two doubly charmed baryons
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Quark-level analogue of nuclear fusion with doubly-heavy baryons
• Comment on the narrow charmonium state of Belle at 3871.8 MeV as a deuson
• Emergence of a Brunnian neutron state

Cited by in corpus (9)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Heavy-hadron molecules from light-meson-exchange saturation
• Tetraquarks in large-$N_c$ QCD
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Spin-parities of the $P_c(4440)$ and $P_c(4457)$ in the One-Boson-Exchange Model
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$