A touchstone of nuclear structure theories: Versatile study on Zr-region nuclei via microscopic theories

• Project/Area Number: 16K05342
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Chiba University
• Principal Investigator: Nakada Hitoshi 千葉大学, 大学院理学研究院, 教授 (80221448)
• Research Collaborator: MIYAHARA Satoshi ; TSUKIOKA Yo ; TAKAHASHI Masaki ; TAKAYAMA Keisuke ; SUZUKI Yuka
• Project Period (FY): 2016-04-01 – 2019-03-31
• Project Status: Completed (Fiscal Year 2018)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 平均場近似 / 軸対称変形 / テンソル力 / 3体スピン・軌道力 / 対相関 / 中性子ハロー / RPA / 対称エネルギー / 3体LS力 / 拘束条件付きHartree-Fock計算 / High-j軌道 / 準粒子RPA / 原子核の変形 / 平均場理論 / 南部・ゴールドストーンモード / 理論核物理

Outline of Final Research Achievements

As changing their shapes depending on neutron numbers, the Zr-region nuclei can be a touchstone of nuclear structure theories. Mainly by implementing the self-consistent mean-field calculations, it has been shown that the observed shape evolution of the Zr nuclei from mass number 80 to 110 can be reproduced with the semi-realistic nucleonic interaction, and prediction on shape evolution up to around 120 has been given. Roles of tensor interaction in the shape evolution has been investigated.

Academic Significance and Societal Importance of the Research Achievements

核子間相互作用のレベルからの原子核構造の微視的理解が深まり，自己無撞着平均場理論に基づく数値計算による今後の一層精密な記述の進展が期待できる。将来的には，中性子星の構造や超新星爆発・中性子星合体時の元素合成，また核分裂・核融合を含む地上の核反応に対するより信頼性の高い記述に繋がる可能性がある。

Research Products

• [Journal Article] Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes (2018)
  • Author(s): Nakada H.、Takayama K.
  • Journal Title: Physical Review C Volume: 98 Issue: 1
  • DOI: 10.1103/physrevc.98.011301
  • NAID: 130008148368
  • Peer Reviewed
• [Journal Article] Shape evolution of Zr nuclei and roles of the tensor force (2018)
  • Author(s): Miyahara S.、Nakada H.
  • Journal Title: Physical Review C Volume: 98 Issue: 6
  • DOI: 10.1103/physrevc.98.064318
  • Peer Reviewed
• [Journal Article] Analytical and numerical assessment of the accuracy of the approximated nuclear symmetry energy in the Hartree?Fock theory (2017)
  • Author(s): Tsukioka Y.、Nakada H.
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2017 Issue: 7
  • DOI: 10.1093/ptep/ptx090
  • Peer Reviewed / Open Access
• [Journal Article] Tensor-Force Effects on Nuclear Quadrupole Deformation and N=20 and 28 Magic Numbers (2017)
  • Author(s): H. Nakada, Y. Suzuki, S. Miyahara
  • Journal Title: Nuclear Theory Volume: 36
• [Journal Article] Influence of Nambu-Goldstone mode on energy-weighted sum of excitation strengths in random-phase approximation (2017)
  • Author(s): H. Nakada
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2017 Issue: 2
  • DOI: 10.1093/ptep/ptx004
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Physical and unphysical solutions of the random-phase approximation equation (2016)
  • Author(s): H. Nakada
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2016 Issue: 6 Pages: 063D02-063D02
  • DOI: 10.1093/ptep/ptw073
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Effects of a realistic tensor force on nuclear quadrupole deformation near the “shore” of the island of inversion (2016)
  • Author(s): Y. Suzuki, H. Nakada and S. Miyahara
  • Journal Title: Physical Review C Volume: 94 Issue: 2
  • DOI: 10.1103/physrevc.94.024343
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Addendum: Physical and unphysical solutions of the random-phase approximation equation (2016)
  • Author(s): H. Nakada
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2016 Issue: 9 Pages: 099101-099101
  • DOI: 10.1093/ptep/ptw114
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Can Realistic Interaction be useful for Nuclear Mean-Field Approaches? (2016)
  • Author(s): H. Nakada, K. Sugiura, T. Inakura and J. Margueron
  • Journal Title: The European Physical Journal A Volume: 52 Issue: 7
  • DOI: 10.1140/epja/i2016-16185-y
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Presentation] Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes (2019)
  • Author(s): 中田 仁，高山 桂輔
  • Organizer: 日本物理学会第７４回年次大会
• [Presentation] Nuclear charge radii, charge distributions and magic numbers (2019)
  • Author(s): 中田 仁
  • Organizer: 東北大学電子光理学研究センター拠点研究会 「電子散乱による原子核研究ー陽子半径、不安定核の電荷密度分布を中心にー」
• [Presentation] Solution to long-standing puzzles on nuclear charge radii via 3N interaction (2018)
  • Author(s): Nakada H.
  • Organizer: ECT* Workshop on “Probing exotic structure of short-lived nuclei by electron scattering”
  • Int'l Joint Research / Invited
• [Presentation] Evidence for three-nucleon spin-orbit interaction in nuclear charge radii (2018)
  • Author(s): Nakada H.
  • Organizer: International Conference on Simplicity, Symmetry and Beauty of Atomic Nuclei
  • Int'l Joint Research / Invited
• [Presentation] Nuclear structure problems solved by realistic nucleonic interaction (2018)
  • Author(s): Nakada H.
  • Organizer: Fifth Joint Meeting of the Nuclear Physics Divisions of the American Physical Society and the Physical Society of Japan
  • Int'l Joint Research / Invited
• [Presentation] 原子核の平均場と非中心力 (2017)
  • Author(s): 中田 仁
  • Organizer: 核力に基づく核構造・核反応物理の展開
  • Place of Presentation: 京都大学基礎物理学研究所（京都府・京都市）
  • Year and Date: 2017-03-27
  • Invited
• [Presentation] 変形した一粒子軌道に対するテンソル力の影響 (2017)
  • Author(s): 角田 理恵子，中田 仁
  • Organizer: 日本物理学会第72回年次大会
  • Place of Presentation: 大阪大学豊中キャンパス（大阪府・豊中市）
  • Year and Date: 2017-03-17
• [Presentation] RPAでの和則に対する南部・Goldstoneモードの影響 (2017)
  • Author(s): 中田 仁
  • Organizer: 日本物理学会第72回年次大会
  • Place of Presentation: 大阪大学豊中キャンパス（大阪府・豊中市）
  • Year and Date: 2017-03-17
• [Presentation] Manifestation of three-nucleon spin-orbit interaction in nuclear charge radii (2017)
  • Author(s): H. Nakada
  • Organizer: The third International Conference on Advances in Radioactive Isotope Science (ARIS2017)
  • Int'l Joint Research / Invited
• [Presentation] Tensor-force effects on nuclear quadrupole deformation and N=20 and 28 magic numbers (2017)
  • Author(s): H. Nakada
  • Organizer: The Thirty-Sixth International Workshop on Nuclear Theory, Rila Mountains (IWNT36)
  • Int'l Joint Research / Invited
• [Presentation] Tensor-force effects on nuclear quadrupole deformation in proton-deficient N=20 and 28 nuclei (2017)
  • Author(s): H. Nakada
  • Organizer: The International Symposium on Physics of Unstable Nuclei 2017 (ISPUN17)
  • Int'l Joint Research / Invited
• [Presentation] Complete RPA solutions and Nambu-Goldstone modes (2017)
  • Author(s): H. Nakada
  • Organizer: Second Gogny Conference “Recent developments in microscopic theories for nuclear structure” (Gogny2017)
  • Int'l Joint Research
• [Presentation] 核力から現象論へ，現象論から核力へ (2017)
  • Author(s): 中田仁
  • Organizer: 軽井沢研究会「原子核多体問題の進展と展望」
  • Invited
• [Presentation] On the completeness of RPA solutions (2016)
  • Author(s): H. Nakada
  • Organizer: irst Tsukuba-CCS-RIKEN joint workshop on Microscopic Theories of Nuclear Structure and Dynamics
  • Place of Presentation: 筑波大学計算科学研究センター（茨城県・つくば市）
  • Year and Date: 2016-12-12
  • Int'l Joint Research / Invited
• [Presentation] Influence of higher-order terms on approximation of nuclear symmetry energy (2016)
  • Author(s): Y. Tsukioka and H. Nakada
  • Organizer: Compact stars and graviational waves
  • Place of Presentation: 京都大学基礎物理学研究所（京都府・京都市）
  • Year and Date: 2016-10-31
  • Int'l Joint Research
• [Presentation] 低エネルギーE1励起における中性子スキンの役割とそのエネルギー依存性 (2016)
  • Author(s): 中田 仁
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 宮崎大学木花キャンパス（宮崎県・宮崎市）
  • Year and Date: 2016-09-21
  • Invited
• [Presentation] Physical and unphysical solutions of RPA equation (2016)
  • Author(s): 中田 仁
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 宮崎大学木花キャンパス（宮崎県・宮崎市）
  • Year and Date: 2016-09-21
• [Presentation] 核物質の対称エネルギー近似に於ける高次項の影響 (2016)
  • Author(s): 月岡 遥，中田 仁
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 宮崎大学木花キャンパス（宮崎県・宮崎市）
  • Year and Date: 2016-09-21
• [Presentation] Evidence for three-nucleon interaction in isotope shifts of Z=magic nuclei (2016)
  • Author(s): H. Nakada
  • Organizer: The Thirty Fifth International Workshop on Nuclear Theory
  • Place of Presentation: Rila, Bulgaria
  • Year and Date: 2016-06-26
  • Int'l Joint Research / Invited