Effect of three-pion unitarity on resonance poles from heavy meson decays

We study the final state interaction in 3-pion decay of meson resonances at the Excited Baryon Analysis Center (EBAC) of JLab. We apply the dynamical coupled-channels formulation which has been extensively used by EBAC to extract N* information. The formulation satisfies the 3-pion unitarity condition which has been missed in the existing works with the isobar models. We report the effect of the 3-pion unitarity on the meson resonance pole positions and Dalitz plot.Comment: 4 pages, 4 figures, Contribution to the proceedings of International conference on the structure of baryons (BARYONS'10), Osaka, Japan, Dec. 7-11, 201

Theoretical analysis of Lambda(1405) photoproduction

We develop a model that describes the gamma p -> K^+ pi Sigma reaction in the Lambda(1405) region. The model consists of gauge invariant photo-production mechanisms, and the chiral unitary model that gives the rescattering amplitudes where Lambda(1405) is contained. The model also contains phenomenological parameters, associated with short-range dynamics, to be used in fitting data. We successfully fit recent CLAS data for the pi-Sigma invariant mass distributions (line-shape) in the gamma p -> K^+ pi Sigma reaction for all the charge states. We find that the higher mass pole for Lambda(1405) of the chiral unitary model plays an important role in the reaction. We also find the non-resonant background contribution is not negligible, and its sizable effect shifts the Lambda(1405) peak position by several MeV. This work sets a starting point for a fuller analysis in which line-shape as well as K^+ angular distribution data are simultaneously analyzed for extracting Lambda(1405) pole(s).Comment: 5 pages, 6 figures, Contribution to the proceedings of XV International Conference on Hadron Spectroscopy (Hadron 2013), November 4-8 2013, Nara, Japa

Renormalization group analysis of nuclear current operators

A Wilsonian renormalization group (WRG) equation for nuclear current operators in two-nucleon systems is derived. Nuclear current operators relevant to low-energy Gamow-Teller transitions are analyzed using the WRG equation. We employ the axial two-body current operators from phenomenological models and heavy-baryon chiral perturbation theory, which are quite different from one another in describing small scale physics. After reducing the model space of the operators using the WRG equation, we find that there still remains a significant model dependence at \Lambda = 200 MeV, where \Lambda is the sharp cutoff specifying the size of the model space. A model independent effective current operator is found at a rather small cutoff value, \Lambda = 70 MeV. By simulating the effective current operator at \Lambda=70 MeV, we obtain a current operator based on a pionless theory, thereby arguing an equivalence relation between nuclear current operators of phenomenological models and those of effective field theories.Comment: 26 pages, 11 figure

Zc(4430)Z_c(4430), Zc(4200)Z_c(4200), Z1(4050)Z_1(4050), and Z2(4250)Z_2(4250) as triangle singularities

$Z_c(4430)$ discovered in $\bar{B}^0\to\psi(2S)K^-\pi^+$, $Z_c(4200)$ found in $\bar{B}^0\to J/\psi K^-\pi^+$, and $Z_1(4050)$ and $Z_2(4250)$ observed in $\bar{B}^0\to\chi_{c1}K^-\pi^+$ are candidates of charged charmonium-like states. All surviving theoretical models interpreted these candidates as four-quark states, until we recently identified a compelling alternative. We discuss that kinematical singularities in triangle loop diagrams induce a resonance-like behavior that can consistently explain the properties (such as spin-parity, mass, width, and Argand plot) of $Z_c(4430)$, $Z_c(4200)$, $Z_1(4050)$ and $Z_2(4250)$ from experiments. In terms of the triangle singularities, we can also naturally understand interesting experimental findings such as the appearance (absence) of $Z_c(4200)$($Z_c(4430)$)-like contribution in $\Lambda_b^0\to J/\psi p\pi^-$, and the highly asymmetric shape of the spectrum bump for $Z_1(4050)$; the other theoretical models have not successfully addressed these points. Although Pakhlov et al. proposed another triangle diagram to generate a $Z_c(4430)$-like bump, we argue that this scenario is very unlikely.Comment: 7 pages, 5 figures, Contribution to the Proceedings for 15th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU-2019), June 2-7 2019, Pittsburgh, US