1.Meng, J,Toki, H, Zhou, SG, Zhang, SQ, Long, WH, Geng, LS, Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei, PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, VOL 57, NO 2, 57 (2): Meng, J; Toki, H; Zeng, JY; Zhang, SQ; Zhou, SG, Giant halo at the neutron drip line in Ca isotopes in relativistic continuum Hartree-Bogoliubov theory, PHYSICAL REVIEW C, 65 (4): Art. No APR Zhang, W; Meng, J; Zhang, SQ; Geng, LS; Toki, H, Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory, NUCLEAR PHYSICS A, 753 (1-2): MAY Geng, LS; Toki, H; Sugimoto, S; Meng, J, Relativistic mean field theory for deformed nuclei with pairing correlations, PROGRESS OF THEORETICAL PHYSICS, 110 (5): NOV Geng, LS; Toki, H; Meng, J, alpha-decay chains of (288)(173)115 and (287)(172)115 in the relativistic mean field theory, PHYSICAL REVIEW C, 68 (6): Art. No DEC Meng, J; Zhang, W; Zhou, SG; Toki, H; Geng, LS, Shape evolution for Sm isotopes in relativistic mean-field theory, EUROPEAN PHYSICAL JOURNAL A, 25 (1): JUL Geng, LS; Toki, H; Meng, J, Masses, deformations and charge radii - Nuclear ground-state properties in the relativistic mean field model,PROGRESS OF THEORETICAL PHYSICS, 113 (4): APR Geng, LS; Toki, H; Ozawa, A; Meng, J, Proton and neutron skins of light nuclei within the relativistic mean field theory, NUCLEAR PHYSICS A, 730 (1-2): JAN Geng, LS; Toki, H; Meng, J, Proton-rich nuclei at and beyond the proton drip line in the relativistic mean field theory, PROGRESS OF THEORETICAL PHYSICS, 112 (4): OCT Geng, LS; Toki, H; Meng, J, A systematic study of Zr and Sn isotopes in the relativistic mean field theory, MODERN PHYSICS LETTERS A, 19 (29): SEP Geng, LS; Toki, H; Meng, J, A systematic study of neutron magic nuclei with N=8, 20, 28, 50, 82 and 126 in the relativistic mean-field theory, JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 30 (12): DEC 2004

手性原子核： 2007 Chiral symmetry in atomic nuclei: 2007 孟 杰 Jie Meng 北京大学物理学院 School of Physics/Peking University Chiral07 Chiral Symmetry in Hadron and Nuclear Physics November 13-16, 2007, Convention Center, Suita campus, Osaka University, Japan

 Introduction  The concept of the chirality in atomic nuclei  Recent theoretical and experimental progress  Future efforts and perspectives to understand nuclear chirality  Summary

手征对称性在自然界中普遍存在 Chiral symmetries exist commonly in nature Macroscopic spirals of snail shells and the Human hands, etc. In geometry, a figure is chiral if it is not identical to its mirror image, or it cannot be mapped onto its mirror image by rotations and translations alone Particle physics, chirality is a dynamic property distinguishing between the parallel and anti-parallel orientations of the intrinsic spin with respect to the momentum of the massless particle. Chemistry, the study of chirality is a very active in inorganic, organic, physical, biochemistry and supramolecular chemistry. Nobel Prize in Chemistry for 2001: the development of catalytic asymmetric synthesis Chiral symmetry in atomic nuclei ?

Fingerprints for Chirality in atomic nucleus

1.H. Toki and A. Faessler; Nucl. Phys. A253 (1975) Asymmetric rotor model for decoupled bands in transitional odd mass nuclei 2.H. Toki and A. Faessler; Z. Physik A276 (1976) Extended VMI model for asymmetric deformed nuclei 3.H. Toki and A. Faessler; Phys. Lett. 63B (1976) Asymmetric rotor model for positive parity states of 71As, 73As and 81Rb 4.H. Toki, H.L. Yadav and A. Faessler; Phys. Lett. 66B (1977) Strong and decoupling structure in transitional odd-odd mass nuclei 5.H. Toki, H.L. Yadav and A. Faessler; Phys. Lett. 71B (1977) 1-4 Decoupled and strongly coupled particle system in odd-odd mass nuclei

原子核手征对称性的提出

手征对称性破缺：三轴变形的实验信号 推转模型 空穴 + 粒子 + 三轴转子：非平面转动 Orientations of the A.M. 3D Cranking model

两个空穴 + 三轴转子 = 磁转动 空穴 + 粒子 + 三轴转子 = 手征双重态 两条简并的磁转 动带，由于量子 PRM 模型导致分 裂从而可以从实 验上进行观测。 Neutron and proton coupled with triaxial rotor

 I=2 rotational bands  I= １ magnetic rotational bands Shears bands 1. J lies along a principal axis 2. J lies in a principal plane Chiral doublets bands, Why ?

Chiral bands Experimental signature: Degenerate pairs of  I=1 bands  =   y(  ) 3. J does not lie in any of principal plane Frauendorf, Meng, Nucl. Phys. A 617, 131(1997 ) Chiral doublets bands, Why ?

原子核手征对称性的实验验证

Good agreement between the experimental and the PRM calculated results Near energy degeneracy: easy ! Peng, Meng, Zhang,Phys. Rev.C68, (2003 )

原子核手征对称性的实验验证

原子核手征对称性的理论文章

A~130 region A~100 region Chiral bands candidates in odd-odd nuclei 手征原子核 -- 实验进展

A~130 Odd-Odd (  h 11/2  h 11/2 ): (  g 9/2  h 11/2 ) 132 Cs, 130 Cs, 128 Cs, 126 Cs, 124 Cs, 122 Cs 118 I 134 La, 132 La, 130 La 134 Pr, 132 Pr 136 Pm 138 Eu Odd-A (  (h 11/2 ) 2  h 11/2 ): 135 Nd Even-Even (  (h 11/2 d 5/2 )  (h 11/2 ) 2 ): 136 Nd A~100 Odd-Odd (  g 9/2  h 11/2 ) 106 Ag, 106 Rh, 104 Rh Odd-A (  g 9/2  h 11/2 ) 2 ) 105 Rh A~190 Odd-Odd (  h 9/2  i 13/2 ) 188 Ir 手征原子核 -- 实验进展

的研究进展 原子核手征对称性的的研究进展 至少有来自 21 国家（地区）的 123 研究组的 356 人参与 原子核手征对称性的研究

Near energy degeneracy - 手征原子核？

134 Pr - 手征原子核 ？？？ End of the story ?

手征原子核 : best example ！？

Level scheme in 128 Cs The calculated spectra agree with the data.

B(E2) in 128 Cs  data  Koike et al  Our work E. Grodner et al., PRL 97, (2006)

B(M1) B(M1) in 128 Cs  data  Koike et al  Our work

手征原子核 : another in A=100 mass region

手征原子核 : another best example in 2007

chiral bands 1. nearly degenerate doublet bands 2. S(I) independent of spin 3. identical spin alignments 4. identical B(M1), B(E2) values 6. interband B(E2)=0 at high spin 5. staggering of B(M1)/B(E2) ratios Chiral nucleus ： Based on the geometry for one particle and one hole coupled to a triaxial rotor with gamma= Triaxial rotor 2.many-particles plus many-holes! S.Y. Wang, S.Q. Zhang, B. Qi, and J. Meng, Examining the Chiral Geometry in 104 Rh and 106 Rh, Chinese Physics Letters (3):

在兰州重离子国家实验室观测到的首例手征双重带 Question: Chiral bands ? Reproduction of Spectra & transition in 2qp coupled with triaxial rotor ! Examine the orientation of the AM

Pairing correlation can imitate the many-particles plus many-holes coupled with triaxial rotor S.Y. Wang, S.Q. Zhang, B. Qi, and J. Meng, Doublet bands in 126 Cs in the triaxial rotor model coupled with two quasiparticles, Physical Review C 75, (2007)

electromagnetic properties of 126 Cs Pairing correlation can imitate the many-particles plus many-holes coupled with triaxial rotor S.Y. Wang, S.Q. Zhang, B. Qi, and J. Meng, Doublet bands in 126 Cs in the triaxial rotor model coupled with two quasiparticles, Physical Review C 75, (2007)

Subject: 126Cs DATA Date: Fri, 09 Mar :48: From: Julian Srebrny To: Dear ProfesSor Meng, I hope you remember me and Ernest Grodner from Trento 2003 workshop and later on from Kazimierz conference the same year. I am writing to You in connection to your very interesting paper from February 23, 2007 in the Physical Review C75. Our team has published the results on the 128Cs lifetime measurements and comparison with CQPC calculations for chiral bands in that nucleus in PRL 97, (2006). The present mail is written to you in behalf of authors of this paper. Just after evaluation ofthe absolute M1 and E2 transition probabilities in 128Cs we have performed experiment on 126Cs. Now, we have nearly finished our analysis and should like to publish our results on chirality in 126Cs. We should like to propose you to take a look into our data for 128Cs and 126Cs and to publish together our experimental results and your interpretation in the frame of your Particle Rotor Model with pairing included. It seems to us that we can submit such a paper to Physical Review Letter as a confirmation of chirality in odd-odd Cesium isotopes. Dear Professor Meng, Would you mind considering our proposition and writing to us your opinion? With the best regards, Julian Srebrny.

Exotic shape: triaxial deformation

Conventional constraints  :  i (  )  +  :  j (  +  )  :  i (  )  +  :  j (  +  ) Configuration fixed constraints Chirality in atomic nucleus – Microscopics RMF investigation

MDMD

SP level for 106 Rh

手征原子核 — 微观研究进展

 Recent theoretical and experimental progress on chirality in atomic nuclei are briefly reviewed  Possible signal for chirality in atomic nuclei are summarized  Future efforts to understand nuclear chirality are suggested 总结与展望