Complex Scaling Method in Nuclear Research
Explore the application of the complex scaling method in studying the 1/2+ states of 9Be and 9B. This research delves into Hamiltonian solutions, resonance states, and photodisintegration cross sections, providing valuable insights into nuclear physics.
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Presentation Transcript
A Mirror 1/2+ states of 9Be and 9B in the complex scaling method M.Odsuren, T.Myo, Y.Kikuchi, K.Kat School of Engineering and Applied Sciences and Nuclear Research Center, National University of Mongolia, Ulaanbaatar 210646, Mongolia General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka 535-8585, Japan Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan Nuclear Reaction Data Centre, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan
Introduction Nuclear Research Center, NUM - Nuclear Data - Nuclear Energy - Nuclear Applications 4/19/2025
Complex scaling method coordinate: i r re momentum: i k ke Scaled equation: is scaling parameter Solution of the Hamiltonian: Resonance state Non-resonant Continuum state T. Myo, Y. Kikuchi, H. Masui,K. Kat , Prog. Part. Nucl. Phys. 79, 1 (2014). S.Aoyama, T.Myo, K.Kat and K.Ikeda, PTP. 116, 1(2006)
+ +N three-body model Hamiltonian 3 2 ? = ?? ??.?.+ ??? ?? + ???+ ???+ ?3 ?=1 ?=1 N=n or p VPF: Pauli potential to take account of the Pauli-principle between clusters. V N: KKNN potential [1] V :Folding potential [2] Wave functions R2 R1 where r3 R3 r2 r1 [1] H.Kanada, T.Kaneko, S. Nagata and M.Nomoto, PTP 61, 1327 (1979) [2] E.W.Schmid and K.Wildermuth, Nucl.Phys.A26, 463 (1961) 4
Calculated photodisintegration cross sections of the 9Be(1/2+) Photodisintegration cross section Yu.Kikuchi, M.O., et al., PRC93, 054605 (2016) M.O., Yu.Kikuchi et al., PRC95, 064305 (2017) M.O, Yu.Kikuchi et al., PRC99, 034312 (2019) C.W.Arnold et al. PRC85, 044605 (2012) H.Utsunomiya et al. PRC63, 018801 (2000) 5
Eigenvalue distribution of the 1/2+ state Calculations in Complex Scaling Method =150 9B(1/2+) ReE(MeV) 9Be(1/2+) ReE(MeV) 0.00 -0.100.0 1.0 8Be(0+)+p 2.0 3.0 4.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 -0.30 8Be(0+)+n -0.20 Resonance state -0.50 ImE (MeV) ImE (MeV) -0.40 5He(3/2-)+ 8Be(2+)+p -0.70 -0.90 -0.60 8Be(2+)+n -1.10 + + + +p + +n -0.80 -1.30 5Li(3/2-)+ -1.00 -1.50 Continuum states are discredited using Gaussian bases functions 6
Doublet /2+ resonances of 9B M.O., T.Myo, K.Kato, PRC107, 044003 (2023) 4/19/2025
Doublet /2+ resonances of 9B M.O., T.Myo, K.Kato, PRC107, 044003 (2023) 4/19/2025
