Chin. Phys. Lett.  2016, Vol. 33 Issue (01): 012101    DOI: 10.1088/0256-307X/33/1/012101
NUCLEAR PHYSICS |
Tilted Axis Rotation of $^{57}$Mn in Covariant Density Functional Theory
Jing Peng1,2**, Wen-Qiang Xu1
1Department of Physics, Beijing Normal University, Beijing 100875
2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190
Cite this article:   
Jing Peng, Wen-Qiang Xu 2016 Chin. Phys. Lett. 33 012101
Download: PDF(639KB)   PDF(mobile)(KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

The self-consistent tilted axis cranking covariant density functional theory based on the point-coupling interaction is applied to investigate the tilted axis rotation in $^{57}$Mn. The observed data for band C are reproduced well with the assigned configuration config 1. The shears mechanism for magnetic rotation is examined by investigating microscopically the orientation of angular momentum and the corresponding contributions. It is found that config 1 and config 3 correspond to a rotation of high-$K$ character. Config 2 corresponds to a rotation of magnetic character. However, due to the presence of electromagnetic transition $B(M1)$ and $ B(E2)$, collective rotation plays an essential role in the competition with magnetic rotation.

Received: 24 September 2015      Published: 29 January 2016
PACS:  21.60.Jz (Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))  
  21.10.Re (Collective levels)  
  23.20.-g (Electromagnetic transitions)  
  27.40.+z (39 ≤ A ≤ 58)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/33/1/012101       OR      https://cpl.iphy.ac.cn/Y2016/V33/I01/012101
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
Jing Peng
Wen-Qiang Xu

[1] Teller E and Wheeler J A 1938 Phys. Rev. 53 778
[2] Bohr A and Mottelson B R 1975 Nuclear Structure (New York: Benjamin) vol II
[3] Johnson A, Ryde H and Sztarkier J 1971 Phys. Lett. B 34 605
[4] Stephens F S and Simon R S 1972 Nucl. Phys. A 183 257
[5] Banerjee B, Mang H J and Ring P 1973 Nucl. Phys. A 215 366
[6] Twin P J, Nyakó B M, Nelson A H, Simpson J, Bentley M A, Cranmer-Gordon H W, Forsyth P D, Howe D, Mokhtar A R, Morrison J D, Sharpey-Schafer J F and Sletten G 1986 Phys. Rev. Lett. 57 811
[7] Clark R M, Wadsworth R, Paul E S, Beausang C W, Ali I, Astier A, Cullen D M, Dagnall P J, Fallon P, Joyce M J, Meyer M, Redon N, Regan P H, Nazarewicz W and Wyss R 1992 Phys. Lett. B 275 247
[8] Baldsiefen G, Hübel H, Mehta D, Thirumala Rao B V, Birkental U, Fröhlingsdorf G, Neffgen M, Nenoff N, Pancholi S C, Singh N, Schmitz W, Theine K, Willsau P, Grawe H, Heese J, Kluge H, Maier K H, Schramm M, Schubart R and Maier H J 1992 Phys. Lett. B 275 252
[9] Kuhnert A, Stoyer M A, Becker J A, Henry E A, Brinkman M J, Yates S W, Wang T F, Cizewski J A, Stephens F S, Deleplanque M A, Diamond R M, Macchiavelli A O, Draper J E, Azaiez F, Kelly W H and Korten W 1992 Phys. Rev. C 46 133
[10] Frauendorf S, Meng J and Reif J 1994 Proc. Conf. Phys. From Large $\gamma-$ray Detector Arrays (Berkeley LBL-35687, August 1994) II p 52
[11] Frauendorf S 1993 Nucl. Phys. A 557 259
[12] Frauendorf S 2001 Rev. Mod. Phys. 73 463
[13] Clark R M and Macchiavelli A O 2000 Annu. Rev. Nucl. Part. Sci. 50 1
[14] Hübel H 2005 Prog. Part. Nucl. Phys. 54 1
[15] Meng J, Peng J, Zhang S Q and Zhao P W 2013 Front. Phys. 8 55
[16] Frauendorf S, Reif J and Winter G 1996 Nucl. Phys. A 601 41
[17] Madokoro H, Meng J, Matsuzaki M and Yamaji S 2000 Phys. Rev. C 62 061301
[18] Peng J, Meng J, Ring P and Zhang S Q 2008 Phys. Rev. C 78 024313
[19] Zhao P W, Zhang S Q, Peng J, Liang H Z, Ring P and Meng J 2011 Phys. Lett. B 699 181
[20] Li C B, Li J, Wu X G, Li X F, Zheng Y, He C Y, Li G S, Yao S H, Yu B B, Cao X P, Hu S P, Wang J L, Xu C and Cheng Y Y 2012 Nucl. Phys. A 892 34
[21] Yu L F, Zhao P W, Zhang S Q, Ring P and Meng J 2012 Phys. Rev. C 85 024318
[22] Steppenbeck D, Janssens R V F, Freeman S J, Carpenter M P, Chowdhury P, Deacon A N, Honma M, Jin H, Lauritsen T, Lister C J, Meng J, Peng J, Seweryniak D, Smith J F, Sun Y, Tabor S L, Varley B J, Yang Y C, Zhang S Q, Zhao P W and Zhu S 2012 Phys. Rev. C 85 044316
[23] Peng J and Xing L F 2009 Chin. Phys. Lett. 26 032101
[24] Peng J, Yao J M, Zhang S Q and Meng J 2010 Chin. Phys. Lett. 27 122101
[25] Zhao P W, Peng J, Liang H Z, Ring P and Meng J 2011 Phys. Rev. Lett. 107 122501
[26] Zhao P W, Peng J, Liang H Z, Ring P and Meng J 2012 Phys. Rev. C 85 054310
[27] Li X W, Li J, Lu J B, Ma K Y, Wu Y H, Zhu L H, He C Y, Li X Q, Zheng Y, Li G S, Wu X G, Ma Y J and Liu Y Z 2012 Phys. Rev. C 86 057305
[28] Zhang P, Qi B and Wang S Y 2014 Phys. Rev. C 89 047302
[29] Peng J and Zhao P W 2015 Phys. Rev. C 91 044329
[30] Peng J, Zhao P W, Zhang S Q and Meng J 2015 arXiv:1508.06987v1[nucl-th]
[31] Zhao P W, Zhang S Q and Meng J 2015 Phys. Rev. C 92 034319
[32] Zhao P W, Itagaki N and Meng J 2015 Phys. Rev. Lett. 115 022501
[33] Torres D A, Cristancho F, Andersson L L, Johansson E K, Rudolph D, Fahlander C, Ekman J, Rietz R du, Andreoiu C, Carpenter M P, Seweryniak D, Zhu S, Charity R J, Chiara C J, Hoel C, Pechenaya O L, Reviol W, Sarantites D G, Sobotka L G, Baktash C, Yu C H, Carlsson B G and Ragnarsson I 2008 Phys. Rev. C 78 054318
[34] Steppenbeck D, Deacon A N, Freeman S J, Janssens R V F, Zhu S, Carpenter M P, Chowdhury P, Honma M, Lauritsen T, Lister C J, Seweryniak D, Smith J F, Tabor S L and Varley B J 2010 Phys. Rev. C 81 014305
[35] Zhao P W, Li Z P, Yao J M and Meng J 2010 Phys. Rev. C 82 054319
[36] Frauendorf S and Meng J 1996 Z. Phys. A 356 263
[37] Chen Z Q, Wang S Y, Liu L, Zhang P, Jia H, Qi B, Wang S, Sun D P, Liu C, Li Z Q, Wu X G, Li G S, He C Y, Zheng Y and Zhu L H 2015 Phys. Rev. C 91 044303

Related articles from Frontiers Journals
[1] Jiawei Chen, Junchen Pei, Yu Qiang, and Jihuai Chi. Fission Properties of Neutron-Rich Nuclei around the End Point of $r$-Process[J]. Chin. Phys. Lett., 2023, 40(1): 012101
[2] Jun Xu. Constraining Isovector Nuclear Interactions with Giant Dipole Resonance and Neutron Skin in $^{208}$Pb from a Bayesian Approach[J]. Chin. Phys. Lett., 2021, 38(4): 012101
[3] Chen Liu , Shouyu Wang, Bin Qi , and Hui Jia . Possible Candidates for Chirality in the Odd-Odd As Isotopes[J]. Chin. Phys. Lett., 2020, 37(11): 012101
[4] Yan-Zhao Wang, Yang Li, Chong Qi, Jian-Zhong Gu. Pairing Effects on Bubble Nuclei[J]. Chin. Phys. Lett., 2019, 36(3): 012101
[5] Hong Lv, Shi-Sheng Zhang, Zhen-Hua Zhang, Yu-Qian Wu, Jiang Liu, Li-Gang Cao. Giant Monopole Resonance and Nuclear Incompressibility of Hypernuclei[J]. Chin. Phys. Lett., 2018, 35(6): 012101
[6] Hong Lv, Shi-Sheng Zhang, Zhen-Hua Zhang, Yu-Qian Wu, Li-Gang Cao. Pygmy and Giant Dipole Resonances in Proton-Rich Nuclei $^{17,18}$Ne[J]. Chin. Phys. Lett., 2017, 34(8): 012101
[7] Jian-Min Dong, Wei Zuo, Jian-Zhong Gu. First-Order Symmetry Energy Induced by Neutron–Proton Mass Difference[J]. Chin. Phys. Lett., 2016, 33(10): 012101
[8] QI Bin, ZHANG Nai-Bo, WANG Shou-Yu, SUN Bao-Yuan. Hyperon Effects on the Spin Parameter of Rotating Neutron Stars[J]. Chin. Phys. Lett., 2015, 32(11): 012101
[9] WANG Yan-Zhao, GU Jian-Zhong, YU Guo-Liang, HOU Zhao-Yu. Tensor Force Effect on Shape Coexistence of N=28 Neutron-Rich Isotones[J]. Chin. Phys. Lett., 2014, 31(10): 012101
[10] S. Unlu. Quasi Random Phase Approximation Predictions on Two-Neutrino Double Beta Decay Half-Lives to the First 2+ State[J]. Chin. Phys. Lett., 2014, 31(04): 012101
[11] WEN Pei-Wei, CAO Li-Gang . Spin-Flip Response Function of Finite Nuclei in a Fully Self-Consistent RPA Approach[J]. Chin. Phys. Lett., 2013, 30(5): 012101
[12] YANG Ding, CAO Li-Gang, MA Zhong-Yu. The Nuclear Incompressibility and Isoscalar Giant Dipole Resonance in Relativistic Continuum Random Phase Approximation[J]. Chin. Phys. Lett., 2013, 30(5): 012101
[13] TANG Zhong-Hua, LI Jia-Xing, JI Juan-Xia, ZHOU Tao. Cluster Structure in Be Isotopes within Point-Coupling Covariant Density Functional[J]. Chin. Phys. Lett., 2013, 30(1): 012101
[14] YANG Ding, CAO Li-Gang, MA Zhong-Yu. Fully Self-Consistency in Relativistic Random Phase Approximation[J]. Chin. Phys. Lett., 2012, 29(11): 012101
[15] LI Lu-Lu,MENG Jie,P. Ring,ZHAO En-Guang,ZHOU Shan-Gui,**. Odd Systems in Deformed Relativistic Hartree Bogoliubov Theory in Continuum[J]. Chin. Phys. Lett., 2012, 29(4): 012101
Viewed
Full text


Abstract