Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state

Abstract

A dedicated study of the $\pi {\Sigma }_c$ scattering around its threshold is carried out in this work to probe the nature of ${\Lambda }_c(2595{)}^{+}$. We first demonstrate that the effective range expansion approach fails to work near the ${\Lambda }_c(2595{)}^{+}$ pole position, due to the presence of a nearby CDD pole around the $\pi {\Sigma }_c$ thresholds. We then develop a general framework to properly handle the situation with a CDD pole accompanied by nearby thresholds, which is first elaborated for the single-channel case and then generalized to the coupled-channel study. The isospin breaking effects of the three $\pi {\Sigma }_c$ channels with different thresholds are specially taken into account in our study. The finite-width effects from the ${\Sigma }_c$ baryons are considered and found to be relevant to give the ${\Lambda }_c(2595{)}^{+}$ width fully compatible to its experimental value. Through the compositeness analysis, our robust conclusion is that the ${\pi }^0{\Sigma }_c^{+}$ component is subdominant inside the ${\Lambda }_c(2595{)}^{+}$.

22 pages, 6 figures. To match the published version in Phys.Rev.D

References in corpus (14)

• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Charmed baryons in a relativistic quark model
• Charmed baryon strong decays in a chiral quark model
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Probabilistic interpretation of compositeness relation for resonances
• DN interaction from meson exchange
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Measurements of the properties of Lambda_c(2595), Lambda_c(2625), Sigma_c(2455), and Sigma_c(2520) baryons
• Compositeness of the strange, charm and beauty odd parity $\Lambda$ states
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• Bound states on the lattice with partially twisted boundary conditions
• Chiral dynamics of S-wave baryon resonances

Cited by in corpus (30)

• Hadronic molecules
• A review of the open charm and open bottom systems
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Probabilistic interpretation of compositeness relation for resonances
• Different pole structures in line shapes of the $X(3872)$
• On the nature of near-threshold bound and virtual states
• General considerations on the nature of $Z_b(10610)$ and $Z_b(10650)$ from their pole positions
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Generalized weak-binding relations of compositeness in effective field theory
• $P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$
• Strong decay of ${\Lambda }_c(2940)$ as a $2P$ state in the ${\Lambda }_c$ family
• Generalization of Weinberg's Compositeness Relations
• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• The lineshape of the compact fully heavy tetraquark
• ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625){\ell }^{-}\bar{\nu }$ form factors from lattice QCD
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• Structure of hadron resonances with a nearby zero of the amplitude
• Compositeness of hadrons, nuclei, and atomic systems
• Compositeness of hadron resonances in finite volume
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Composite nature of $Z_b$ states from data analysis
• Inverse scattering problem with a bare state
• Insights into the nature of the $P_{cs}(4459)$
• Are there near-threshold Coulomb-like Baryonia?
• Effective-range-expansion study of near threshold heavy-flavor resonances
• Model-independent determination of the compositeness of near-threshold quasibound states