Nucleon-Nucleon Potential and Its Non-Locality in Lattice QCD(Nuclear Physics)
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概要
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By the quenched lattice QCD simulation for two nucleons with finite scattering energy, validity of the derivative expansion of the general nucleon-nucleon potential U(r, r')=V (r, ∇_r)δ^3 (r-r') is studied. The relative kinetic energy between two nucleons is introduced through the anti-periodic boundary condition in the spatial directions. On a hypercubic lattice with the lattice spacing a≃0.137fm and the spatial extent L_s≃4.4fm with the pion mass m_π≃530MeV, the local potentials for two different energies (E≃0MeV and 45MeV) are compared and found to be identical within statistical errors, which validates the local approximation of U(r, r) up to E=45MeV for the central and tensor potentials. Central potentials in the spin-singlet channel for different orbital angular momentums (l=0 and l=2) at E≃45MeV are also found to be the same within the errors, which also supports the local approximation.
- 2011-06-25
著者
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ISHII Noriyoshi
Department of Physics, University of Tokyo
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AOKI Sinya
Graduate School of Pure and Applied Sciences, University of Tsukuba
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MURANO Keiko
High Energy Accelerator Research Organization (KEK)
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Aoki Sinya
Graduate School Of Pure And Applied Sciences University Of Tsukuba
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Ishii Noriyoshi
Department Of Physics University Of Tokyo
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Hatsuda Tetsuo
Department Of Physics Kyoto University
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MURANO Keiko
KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organ
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ISHII Noriyoshi
Graduate School of Pure and Applied Sciences, University of Tsukuba
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Ishii Noriyoshi
Graduate School Of Pure And Applied Sciences University Of Tsukuba
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Murano Keiko
Kek Theory Center Institute Of Particle And Nuclear Studies High Energy Accelerator Research Organiz
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Hatsuda Tetsuo
Department Of Physics The University Of Tokyo:institute For The Physics And Mathematics Of The Unive
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HATSUDA Tetsuo
Department of Physics, The University of Tokyo:Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo
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MURANO Keiko
KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK)
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AOKI Sinya
Graduate School of Pure and Applied Sciences, University of Tsukuba:Riken BNL Research Center
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