PENG, Fang-Zheng; LIU, Ming-Zhu; SÁNCHEZ SÁNCHEZ, Mario; PAVON VALDERRAMA, Manuel

doi:10.1103/PhysRevD.102.114020

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PENG, Fang-Zheng

LIU, Ming-Zhu

SÁNCHEZ SÁNCHEZ, Mario
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

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Phys.Rev.D. 2020, vol. 102, p. 114020

Résumé en anglais

In the effective field theory framework the interaction between two heavy hadrons can be decomposed into a long- and a short-range piece. The long-range piece corresponds to the one-pion-exchange potential and is relatively well-known. The short-range piece is given by a series of contact-range interactions with unknown couplings, which substitute the less well-known short-range dynamics. While the general structure of the short-range potential between heavy hadrons is heavily constrained from heavy-quark symmetry, the couplings are still free parameters. Here we argue that the relative strength and the sign of these couplings can be estimated from the hypothesis that they are saturated by the exchange of light mesons, in particular the vector mesons $\rho$ and $\omega$, i.e. from resonance saturation. However, we propose a novel saturation procedure that effectively removes form-factor artifacts. From this we can determine in which spin and isospin configurations the low-energy constants are most attractive for specific two-heavy-hadron systems. In general the molecular states with lower isospins and higher spins will be more attractive and thus more probable candidates to form heavy-hadron molecules. This pattern is compatible with the interpretation of the $X(3872)$ and $P_c(4312/4440/4457)$ as molecular states, but it is not applicable to states with maximum isospin like the $Z_c(3900/4020)$.< Réduire

Mots clés en anglais

hadron: heavy

potential: short-range

resonance: saturation

heavy quark: symmetry

spin: high

isospin

effective field theory

vector meson

form factor

long-range

structure

X(3872)

meson

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Heavy-hadron molecules from light-meson-exchange saturation

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