Universal physics of the few-body system of two neutrons and one flavored meson

Abstract

We investigate the $s$-wave three-body system of two neutrons and one flavored meson with total spin-isospin $J=0,I=3/2$. The meson-neutron scattering length can become infinitely large in an unphysical region of the quark mass when extrapolated from strangeness to charm in the so-called zero coupling limit. Using a low-energy cluster effective field theory, we demonstrate that the Efimov effect is manifest in the three-body system when the meson-neutron scattering length is extrapolated to the unitary limit of the two-body interaction. We thereby discuss the consequence of universal physics in the physical $K^{-}nn$ and $D^{0}nn$ systems.

17 pages, 13 figures (Version to be published in Physical Review C)

References in corpus (26)

• Heavy quarkonium: progress, puzzles, and opportunities
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Origin of resonances in the chiral unitary approach
• Effective field theory description of halo nuclei
• $K^{-}pp$ system with chiral SU(3) effective interaction
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Resonance energy of the barKNN-piYN system
• Variational calculations for K-few-nucleon systems
• DN interaction from meson exchange
• Universal properties and structure of halo nuclei
• Exotic baryons from a heavy meson and a nucleon -- Negative parity states --
• On the scattering of D and D* mesons off the X(3872)
• Effective field theory of 3He
• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• Hadron mass scaling near the s-wave threshold
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering
• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials
• ${}_{\Lambda \Lambda }^{6}He$ in cluster effective field theory
• Structure of hadron resonances with a nearby zero of the amplitude

Cited by in corpus (4)

• Nuclear effective field theory: status and perspectives
• Extraction of $ND$ scattering lengths from the ${\Lambda }_b\to {\pi }^{-}p{D}^0$ decay and properties of the ${\Sigma }_c(2800{)}^{+}$
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory