Gaudin, Diagonalisation d’une classe d’hamiltoniens de spin, J. Prilepina, Recursion relations for 5-point conformal blocks, JHEP 10 (2021) 160. Schomerus, Gaudin models and multipoint conformal blocks: general theory, JHEP 10 (2021) 139. Skiba, All Global One- and Two-Dimensional Higher-Point Conformal Blocks, arXiv:2009.07674. Haehl, On the Virasoro six-point identity block and chaos, JHEP 08 (2020) 002. Schomerus, From Gaudin Integrable Models to d-dimensional Multipoint Conformal Blocks, Phys. Zhou, 20′ Five-Point Function from AdS 5 × S 5 Supergravity, JHEP 10 (2019) 247. Parikh, Towards Feynman rules for conformal blocks, JHEP 01 (2021) 005. Skiba, Seven-point conformal blocks in the extended snowflake channel and beyond, Phys. Ray, Conformal Correlation functions in four dimensions from Quaternionic Lauricella system, Nucl. Skiba, Six-point conformal blocks in the snowflake channel, JHEP 11 (2020) 147. Theofilopoulos, The conformal N-point scalar correlator in coordinate space, arXiv:2001.07171. Skiba, Higher-Point Conformal Blocks in the Comb Channel, JHEP 07 (2020) 213. Parikh, A multipoint conformal block chain in d dimensions, JHEP 05 (2020) 120. Skiba, New methods for conformal correlation functions, JHEP 06 (2020) 028. Parikh, Holographic dual of the five-point conformal block, JHEP 05 (2019) 051. Rosenhaus, Multipoint Conformal Blocks in the Comb Channel, JHEP 02 (2019) 142. Skiba, Efficient rules for all conformal blocks, JHEP 11 (2021) 052. Kravchuk, Recursion relation for general 3d blocks, JHEP 12 (2019) 116. Simmons-Duffin, Weight Shifting Operators and Conformal Blocks, JHEP 02 (2018) 081. Calogero-Sutherland scattering theory, JHEP 07 (2018) 180. Schomerus, Integrability of conformal blocks. Trevisani, Projectors and seed conformal blocks for traceless mixed-symmetry tensors, JHEP 07 (2016) 018. Serone, Seed Conformal Blocks in 4D CFT, JHEP 02 (2016) 183. Serone, Deconstructing Conformal Blocks in 4D CFT, JHEP 08 (2015) 101. Yamazaki, Recursion Relations for Conformal Blocks, JHEP 09 (2016) 070. Rychkov, Radial Coordinates for Conformal Blocks, Phys. Simmons-Duffin, Projectors, Shadows, and Conformal Blocks, JHEP 04 (2014) 146. Rychkov, Spinning Conformal Blocks, JHEP 11 (2011) 154. Osborn, Conformal Partial Waves: Further Mathematical Results, arXiv:1108.6194. Osborn, Conformal partial waves and the operator product expansion, Nucl. Osborn, Conformal four point functions and the operator product expansion, Nucl. The new GCC technique has many attractive features when applied to bound and unbound states of three-body systems: it is precise, is efficient, and can be extended by introducing a microscopic model of the core.F.A. Our calculations for A = 6 systems and O 26 show that nucleon-nucleon angular correlations are sensitive to the valence-neutron interaction. Its results for energies, decay widths, and nucleon-nucleon angular correlations are in good agreement with the GSM results.Ĭonclusions: We have demonstrated that a three-body GSM formalism explicitly constructed in the cluster-orbital shell model coordinates provides results similar to those with a GCC framework expressed in Jacobi coordinates, provided that a large configuration space is employed. Results: We show that the GCC method is both accurate and robust. To solve the coupled-channel equations, we use hyperspherical harmonics to describe the angular wave functions while the radial wave functions are expanded in the Berggren ensemble, which includes bound, scattering, and Gamow states. Methods: The GCC formalism is expressed in Jacobi coordinates, so that the center-of-mass motion is automatically eliminated. We benchmarked the complex-energy Gamow shell model (GSM) against the new framework. Purpose: To describe structure and decays of three-body systems, we developed a Gamow coupled-channel (GCC) approach in Jacobi coordinates by employing the complex-momentum formalism. Theories of such states must take into account configuration mixing effects in the presence of strong coupling to the particle continuum space. ![]() Background: Weakly bound and unbound nuclear states appearing around particle thresholds are prototypical open quantum systems.
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