Real Stabilization Method and Its Application in Calculating Resonance States

ZHANG Li; ZHOU Shan-Gu; MENG Jie

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 59-61

Real Stabilization Method and Its Application in Calculating Resonance States

School of Physics, Peking University, Beijing 100871, China2 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We calculate the single-particle resonances in a spherical Woods-Saxon potential using real stabilization method. The box discretization method is used to find positive energy states of the Woods-Saxon potential. The discretized positive energy is stabilized against the box size when a resonance condition is met. The phase shifts are calculated by using the wave functions thus obtained. The resonance parameters could be calculated through fitting the energies and phase shifts in resonance region to the Wigner formula.

References

[1]

. Tanihata I. Phys. Rev. Lett., 1985, 55: 26762. MENG J, Ring P. Phys. Rev. Lett., 1996, 77: 39633. MENG J. Nucl. Phys., 1998, A635: 34. Hale G M, Brown R E, Jarmie N. Phys. Rev. Lett., 1987,59: 7635. Humblet J, Filippone B W, Koonin S E. Phys. Rev., 1991,C44: 25306. Taylor J R. Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (John Wiley Sons, New York,1972)7. Hazi A U, Taylor H S. Phys. Rev., 1970, A1: 11098. Taylor H S, Advan. Chem. Phys., 1970, 18: 919. Taylor H S, Nazaroff G V, Golebiewski A. J. Chem. Phys.,1966, 45: 287210. Kruppa A T, Heenen P H, Flocard H et al. Phys. Rev.Lett., 1997, 79: 221711. Kukulin V I, Krasnopl'sky V M, Hoárcek J. Thoery of Resonances: Principles and Applications(Kluwer Academic,Dordrecht, 1989)12. ZHANG S S, MENG J, GUO J Y. HEP NP, 2003, 27(12):1095. (in Chinese)(张时声, 孟杰, 郭建友. 高能物理与核物理, 2003, 27(12):1095)13. Sandulescu N, GENG L S, Toki H et al. Phys. Rev. Lett.,2003, 68: 054323

[1]	HOU Zhan-Feng , ZHANG Yu , LIU Yu-Xin . Nuclear Shape Phase Transition in the Shell Model. Chinese Physics C, 2006, 30(S2): 48-52.
[2]	SHEN Qi-Xing , YU Hong . Study on the Baryon State X Produced in the Process J/ψ→p+X,X→Δ+π. Chinese Physics C, 2003, 27(4): 288-292.
[3]	LONG Gui-Lu , SUN Hong-Zhou , ZHAO En-Guang , ZHU Sheng-Jiang , RUAN Dong , LIU Feng-Ying , JI Hua-Ying , LI Yan-Song , YAN Hai-Yang , TU Chang-Cun , ZHANG Wei-Lin , Pak Jae-Yon , . Some Recent Development in Nuclear Structure Studies. Chinese Physics C, 2000, 24(S1): 38-44.
[4]	WANG ShunJin , LUO HongGang . Microscopic Studies of Giant Resonance in Hot Nuclei——Damping of Giant Resonance and Thermodynamic Properties of Hot Nuclei. Chinese Physics C, 2000, 24(10): 955-961.
[5]	Han Guangbing , Wen Shuxian , Liu Xiangun , Wu Xiaoguang , Li Guangsheng , Yuan Guanjun , Weng Peikun , Yang Chunxiang , Ma Yingjun , Lu Jingbin . Study of the High Spin States of Stable ⁸⁴Sr. Chinese Physics C, 1999, 23(7): 601-606.
[6]	Gu Jianzhong , Wu Xizhen , Zhao Enguang , Zhuo Yizhong . Nearest Neighbour Level Spacing and Level Curvature Distributions of Single-Particle in Heavy Nuclei. Chinese Physics C, 1997, 21(6): 535-540.
[7]	Zheng Chunkai , Hu Jimin , Xu Furong . Studies of Nuclei Far From the Stability Line With Macro-Microscopic Model. Chinese Physics C, 1996, 20(4): 317-323.
[8]	Shen Qixing , Yu Hong , Zhang Lin . Study of the Boson Resonance Produced in the Three-Step Two-Body Decay Process of J/ψ. Chinese Physics C, 1995, 19(1): 16-26.
[9]	Wang Baolin . Analytical Study of Low-Lying States in the Transitional Regions. Chinese Physics C, 1994, 18(8): 724-729.
[10]	Cai Yanhuang . Study of Soft Quadrupole Excitation in Nucleus ¹¹Li within Test Particle Method. Chinese Physics C, 1994, 18(S1): 81-86.
[11]	SHEN Jun-Feng , ZHANG Yu-Shun . α-Nucleus Scattering at High Energies. Chinese Physics C, 1991, 15(8): 730-736.
[12]	SHEN Xiao-Yan , HU Ji-Min . The Semiclassical Study of Nuclear High Spin States. Chinese Physics C, 1991, 15(8): 720-729.
[13]	YAO Jin-Zhang , LU hui-Jun , DAI Neng-Xiong , QI Bu-Jia , SI Guo-Jian , YAN Chen , SUN Hang-Cheng . STUDY OF QUASI-MOLECULE RESONANCE OF CHAIN CONFIGURATION INDUCED BY ⁶Li(d,dd) α REACTION AT LOW ENERGY. Chinese Physics C, 1989, 13(8): 727-732.
[14]	LI Zhu-Xia , ZHANG Xi-Zhen . A STUDY OF THE ISOSCALAR GIANT RESONANCE IN ⁴⁰Ca. Chinese Physics C, 1986, 10(3): 330-334.
[15]	JING Xiao-Gong , LI Cheng-Zu , YANG Shan-De , WU Shi-Shu . SINGLE-PARTICLE AND SINGLE-HOLE SPECTRA IN ⁴⁰Ca. Chinese Physics C, 1986, 10(6): 744-751.
[16]	XU Gong-Ou . GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS. Chinese Physics C, 1983, 7(4): 510-514.
[17]	SHI Xiang-Jun . STUDY ON BINDING PROBLEM OF Δ(1232) IN NUCLEI WITH HARTREE-FOCK METHOD. Chinese Physics C, 1983, 7(1): 76-85.
[18]	ZHANG YU-SHUN , LIU XIAN-HUI , LI YANG-GUO , HE ZUO-XIU . J PARTICLE-NUCLEUS SCATTEIUNG. Chinese Physics C, 1981, 5(4): 458-464.
[19]	Wu SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES. Chinese Physics C, 1979, 3(2): 240-243.
[20]	CHANG HSI-CHEN . ANGULAR MOMENTA LIMITATION WITH RESPECT TO PARTICLE EMISSION OF NUCLEI. Chinese Physics C, 1977, 1(1): 79-82.

Access

Get Citation

ZHANG Li, ZHOU Shan-Gu and MENG Jie. Real Stabilization Method and Its Application in Calculating Resonance States[J]. Chinese Physics C, 2006, 30(S2): 59-61.

ZHANG Li, ZHOU Shan-Gu and MENG Jie. Real Stabilization Method and Its Application in Calculating Resonance States[J]. Chinese Physics C, 2006, 30(S2): 59-61. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-10-13
Revised: 1900-01-01

Article Metric

Article Views(4043)
PDF Downloads(761)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Real Stabilization Method and Its Application in Calculating Resonance States

Corresponding author: ZHOU Shan-Gu,

School of Physics, Peking University, Beijing 100871, China2 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000, China

Received Date: 2006-10-13
Accepted Date: 1900-01-01
Available Online: 2006-01-03

Abstract: We calculate the single-particle resonances in a spherical Woods-Saxon potential using real stabilization method. The box discretization method is used to find positive energy states of the Woods-Saxon potential. The discretized positive energy is stabilized against the box size when a resonance condition is met. The phase shifts are calculated by using the wave functions thus obtained. The resonance parameters could be calculated through fitting the energies and phase shifts in resonance region to the Wigner formula.