Structure of the $\mathbf{\Lambda(1405)}$ from Hamiltonian effective field theory
| Autor: | Liu, Zhan-Wei, Hall, Jonathan M. M., Leinweber, Derek B., Thomas, Anthony W., Wu, Jia-Jun |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 95, 014506 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.95.014506 |
| Popis: | The pole structure of the $\Lambda(1405)$ is examined by fitting the couplings of an underlying Hamiltonian effective field theory to cross sections of $K^- p$ scattering in the infinite-volume limit. Finite-volume spectra are then obtained from the theory, and compared to lattice QCD results for the mass of the $\Lambda(1405)$. Momentum-dependent, non-separable potentials motivated by the well-known Weinberg-Tomozawa terms are used, with SU(3) flavour symmetry broken in the couplings and masses. In addition, we examine the effect on the behaviour of the spectra from the inclusion of a bare triquark-like isospin-zero basis state. It is found that the cross sections are consistent with the experimental data with two complex poles for the $\Lambda(1405)$, regardless of whether a bare baryon basis state is introduced or not. However, it is apparent that the bare baryon is important for describing the results of lattice QCD at high pion masses. Comment: 10 pages, 8 figures; more contents added based on the referee's comments; accepted by Phys. Rev. D |
| Databáze: | arXiv |
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