DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL

ZOU Bing-Song; JIANG Huan-Qing

Chinese Physics C> 1987, Vol. 11> Issue(2) : 218-225

DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL

ZOU Bing-Song ^, ,
JIANG Huan-Qing

Abstract
HTML
Reference
Related

PDF

Abstract：
We examine how the density matrix affects the Pauli corrections to the pion-nucleus optical potential in the region of the Δ₃₃ resonance,i.e. for pion kinetic energies of 50～300MeV. Four different approaches-shell Model with harmonic oscillator wave functions, uniform, local and revised local Fermi-Gas models-are used to calculate the density matrix.

References

[1]

Proceedings of the LAMPF Workshop on-Pion Double Charge Exchange (1985,1).[2] M.B. Johnson and D. J. Ernst, Phys. Rev., C27(1983), 709.[3] M. B. Johnson and E. R. Siciliano, Phys. Rev., G'27(1983), 730.[4] H.C. Chiang and M. B. Johnson, Phys. Rev., C32(1985), 531.[5] M. B. Johnson, is Proc. of Int. Summer School on the N-N interaction and Many-Body Physics, WorlScientific, Singapore (1983).[6] M. B. Johnson, Phys. Rev., C22(1980), 192.[7] J. W. Negele and D. Vauthera, Phys. Rev., C5(1972), 1477.[8] J. Hufner and M. C. Nemea, Phys. Rev., G2S(1981), 2538.[9] G. Rowe, M. Salomon, and R. H. Landau, Phys. Rev C18(1978), 584.[10] J. C. Slater, "Quantum Theory is Atomic Structure"中译本《原子结构中的t子理论》[11] H. A. Bethe, Ann. Rev: Nucl, Sci., Vol, 21(1971), 93.[12] Y. C. Lin, Nucl. Phys., A140(1969), 359.[13] T. A. Brody and M. Moshiasky, Table of Transformation Brackets (1967).[14] E. C. Halbert, et al., Adv. Nucl Phys., Vol. 4(1971), 315.

[1]	HU Ze-Hua , SUN Wei-Li , TIAN Dong-Feng , ZHANG Ben-Ai . Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model. Chinese Physics C, 2007, 31(2): 155-161.
[2]	GAO Yong-Hua , HOU Zhao-Yu , WANG Yan-Zhao , CAO He-Fei , ZHANG Wei , DUAN Chun-Gui . Improved Nuclear Density Model and the Nuclear Effect in the l-A DIS Process. Chinese Physics C, 2006, 30(10): 972-975.
[3]	ZUO Wei , CHEN Ji-Yan , LI Bao-An , LUO Pei-Yan , Lombardo U . Momentum and Density Dependence of Isospin Symmetry Potential in Asymmetric Nuclear Matter. Chinese Physics C, 2005, 29(9): 881-885.
[4]	WU Xi-Zhen , TIAN Jun-Long , WANG Ning , ZHAO Kai , LI Zhu-Xia . Microscopic Study on Dynamic Barrier in Fusion Reactions. Chinese Physics C, 2004, 28(12): 1317-1323.
[5]	SHU Song , LI Jia-Rong . Influence of Zero-Point Energy Correction on Effective Nucleon Mass in Derivative Coupling Models. Chinese Physics C, 2003, 27(3): 223-226.
[6]	WANG Quan-Jin , ZHAN Wen-Long , GUO Zhong-Yan , XIAO Guo-Qing , SUN Zhi-Yu , LI Jia-Xing , WANG Jian-Song , WANG Meng , CHEN Zhi-Qiang , WANG Jin-Chuan , TIAN Wen-Dong , WANG Wu-Sheng , MAO Rui-Shi . Influence of the Modified Density Factor on Reaction Cross Section Below 100 MeV/u Energies. Chinese Physics C, 2002, 26(1): 58-63.
[7]	WANG Quan-Jin , YE Yan-Lin , JIANG Dong-Xing , HUA Hui , LI Zhi-Huan , CHEN Tao , LI Xiang-Qing , GE Yu-Cheng . Influence of Energy-Modified Glauber Model on Total Reaction Cross Section at Intermediate-Energy. Chinese Physics C, 2002, 26(8): 818-822.
[8]	QIAN Wei-Liang , SU Ru-Keng . Influence of Density Dependence of Vertex Coupling on Liquid-Gas Phase Transition of Nuclear Matter. Chinese Physics C, 2000, 24(S1): 100-103.
[9]	HU PeiGang , WU HeYu , JIN GenMing , LI ZuYu , HE ZhiYong , FU YanBiao , WANG HongWei , DUAN LiMin , ZHANG BaoGuo , DAI GuangXi . Correction of Abrasion-Ablation Model of Intermediate Energy with Distributions of Nucleon Density in Nucleus. Chinese Physics C, 2000, 24(7): 662-666.
[10]	Sun Xiuquan , Zhang Zhengjun , Zhang Jianshu , Han Yinlu , Shen Qingbiao . Dependence of the Nucleon Mean Free Path and Relativistic Microscopic Optical Potential on Temperature and Density in the Relativistic Model. Chinese Physics C, 1998, 22(10): 920-927.
[11]	An Yu , Hu Jimin . A New Form of Nuclear Densities Suitable for Applications of Extended Thomas-Fermi Approximation. Chinese Physics C, 1996, 20(4): 324-331.
[12]	CHEN Bao-Qiu . Investigation of Self-Consistent Relativistic Microscopic Optical Potential. Chinese Physics C, 1993, 17(4): 345-352.
[13]	MIN De-Fen , NING Ping-Zhi , LI Qing-Run , JINAG Shao-Zhou , WU Xiu-Wen , CHEN Xia-Xian . K⁺-Nucleus Scattering and Nonlinear Densitydependent Correction. Chinese Physics C, 1993, 17(5): 462-468.
[14]	CHEN Bao-Qiu , MA Zhong-Yu . An Investigation of Relativistic Microscopic Optical Potential in Terms of Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(2): 123-130.
[15]	MAO Ming-De , GUO Hua . Particle-hole state densities with energy constraints and exact Pauli exclusion effect. Chinese Physics C, 1992, 16(4): 370-378.
[16]	LIU Jian-Ye , GE Yu-Cheng . Nuclear Matter Density,Collision Number and Entropy in Dynamics Process of Intermediate High Energy Heavy Ion Collision. Chinese Physics C, 1991, 15(6): 556-561.
[17]	LIU Liang-Gang . ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[18]	ZHANG Jing-Shang , YANG Xian-Jun . EFFECT OF THE PAULI EXCLUSION PRINCIPLE IN MULTI-PARTICLE AND HOLE STATE DENSITIES. Chinese Physics C, 1989, 13(9): 822-832.
[19]	ZOU Bing-Song , JIANG Huan-Qing . SECOND ORDER PION-NUCLEUS OPTICAL POTENTIAL AND DOUBLE CHARGE EXCHANGE REACTION. Chinese Physics C, 1988, 12(5): 627-634.
[20]	LI Guang-Lie . PUALI-BLOCKING EFFECT IN THE OPTICAL POTENTIAL DERIVED FROM MULTIPLE-SCATTERING THEORY. Chinese Physics C, 1983, 7(4): 526-528.

Access

Get Citation

ZOU Bing-Song and JIANG Huan-Qing. DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL[J]. Chinese Physics C, 1987, 11(2): 218-225.

ZOU Bing-Song and JIANG Huan-Qing. DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL[J]. Chinese Physics C, 1987, 11(2): 218-225. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2352)
PDF Downloads(433)
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

DENSITY MATRIX DEPENDENCE OF PAULI CORRECTIONS TO THE PION-NUCLEUS OPTICAL POTENTIAL

ZOU Bing-Song ^,
JIANG Huan-Qing

Corresponding author: ZOU Bing-Song,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-04-05

Abstract: We examine how the density matrix affects the Pauli corrections to the pion-nucleus optical potential in the region of the Δ₃₃ resonance,i.e. for pion kinetic energies of 50～300MeV. Four different approaches-shell Model with harmonic oscillator wave functions, uniform, local and revised local Fermi-Gas models-are used to calculate the density matrix.