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Welcome to Kyoto and please enjoy your staying

Discover the fascinating cluster structures and geometric shapes found in Kyoto's 17 world cultural heritage sites, including the Ginkaku-ji temple. Learn about the latest research from the Yukawa Institute for Theoretical Physics at Kyoto University and delve into the study of cluster states using mean field and Tohsaki interactions. Find out how adding valence neutrons and rotating the system can stabilize linear chain configurations. Join us in unraveling the secrets of Kyoto's architectural wonders!

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Welcome to Kyoto and please enjoy your staying

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  1. Welcome to Kyoto and please enjoy your staying

  2. 17 world cultural heritage sites in Kyoto

  3. Closest world heritage site-- Ginkaku-ji temple

  4. Access to Ginkaku-ji temple YITP

  5. Cluster shell and DFT Naoyuki Itagaki Yukawa Institute for Theoretical Physics, Kyoto University

  6. Excitation energy decaying threshold to subsystems cluster structure with geometric shapes mean-field, shell structure (single-particle motion)

  7. But the second 0+ state has turned out to be gas like state rather than the state with geometrical configuration

  8. P. Chevallier et al. Phys. Rev 160, 827 (1967)

  9. J = 0 [ ] Strong-coupling picture The kinetic energy of 8Be subsystem increases compared with that of the free 8Be [ ] J = 0 [ ] J = 0 Weak-coupling picture There is no definite shape

  10. The effect of Pauli principle ] J = 0 [ The second and third alpha-clusters are excited to higher-nodal configurations. If linear-chain is stable, there must exist some very strong mechanism in the interaction side.

  11. How can we stabilize geometric cluster shapes like linear chain configurations? • Adding valence neutrons • Rotating the system

  12. How can we stabilize geometric cluster shapes like linear chain configurations? • Adding valence neutrons • Rotating the system

  13. N. Itagaki, S. Okabe, K. Ikeda, and I. Tanihata Phys. Rev. C 64 014301 (2001).

  14. σ-orbit is important for the linear chain, but not the lowest configuration around 3 alpha linear chain N. Itagaki, S. Okabe, K. Ikeda, and I. Tanihata Phys. Rev. C 64 014301 (2001).

  15. Mean field models • Quite general models designed for nuclei of all the mass regions (exotic cluster structure is not assumed a priori). • Appearance of cluster structure as results of studies using such general models give us more confidence for their existence. Many people started analyzing cluster states with mean field models

  16. α-8Be impact parameter 0 fmE (center of mass) = 2 MeV A. S. Umar, J. A. Maruhn, N. Itagaki, and V. E. OberackerPhys. Rev. Lett. 104, 212503 (2010).

  17. α-8Be impact parameter 0.2 fmE (center of mass) = 2 MeV A. S. Umar, J. A. Maruhn, N. Itagaki, and V. E. OberackerPhys. Rev. Lett. 104, 212503 (2010).

  18. A. S. Umar, J. A. Maruhn, N. Itagaki, and V. E. OberackerPhys. Rev. Lett. 104, 212503 (2010). Lifetime of linear chain as a function of impact parameter

  19. 20C alpha chain states , Ex ~ 15 MeV regionSkyrme Hartree-Fock calculation SkI4 SkI3 Sly6 SkM* J.A. Maruhn, N. Loebl, N. Itagaki, and M. Kimura, Nucl. Phys. A 833 (2010).

  20. J.A. Maruhn, N. Loebl, N. Itagaki, and M. Kimura, Nucl. Phys. A 833 (2010).

  21. Stability of 3 alpha linear chain with respect to the bending motion Time Dependent Hartree-Fock calculation Geometric shape is stabilized by adding neutrons in (σ)2 16C(π)4 20C (π)4(δ)2(σ)2

  22. How can we stabilize geometric cluster shapes like linear chain configurations? • Adding valence neutrons • Rotating the system

  23. 4 alpha linear chain in rotating frame Pioneering work, but no spin-orbit, no path to bending motion

  24. Linear chain configuration appears when angular momentum is given, however….. • Initial state is one-dimensional configuration  stability with respect to the bending motion was not discussed • Spin-orbit interaction was not included in the Hamiltonian

  25. Cranked Hartree-Fock calculation

  26. T. Ichikawa, J. A. Maruhn, N. Itagaki, and S. Ohkubo, Phys. Rev. Lett. 107, 112501 (2011).

  27. ＭＯＩ　= 0.06 MeV Ex(0) = 40 MeV Ichikawa et al.

  28. Tohsaki interaction

  29. The advantages of Tohsaki interaction • Saturation property is satisfied • Size parameter dependence of 4He is small and radius and binding energy of 4He are reasonably reproduced • 4He- 4He scattering phase shift is reproduced • It is rather easy to perform angular momentum projection and/or superposition of different states, since the Hamiltonian is in the operator form (density dependence is expressed as finite-range three-body interaction)

  30. α-α scattering phase shift BB, SII Tohsaki F1, F2 A. Tohsaki, Phys. Rev. C 49 1814 (1994)

  31. 4 alpha chain using Tohsaki interaction MOI = 0.07 MeV Ex(0) = 38 MeV

  32. Y. Iwata, T. Ichikawa, N. Itagaki, J.A. Maruhn, and T. Otsuka, Phys. Rev. C 92 011303(R) (2015)

  33. Y. Iwata, T. Ichikawa, N. Itagaki, J.A. Maruhn, and T. Otsuka, Phys. Rev. C 92 011303(R) (2015)

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