CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR <SUP>40</SUP>Ca

SHEN Qing-Biao; TIAN Ye; LIU Rui-Zhe

Chinese Physics C> 1983, Vol. 7> Issue(4) : 473-480

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper a set of energy-independent local Woods-Saxon potential parameters for ⁴⁰Ca are adjusted to perform the single-particle shell model calculations. By use of these parameters the single-particle energies are calculated. The results are compared with the experimental data. It is shown that the agreements between them are not only in order but also in position of levels which are very close except the theoretical values for 1s state of neutrons 1s and 1p states of protons are evidently lower than the experimental ones. In addition, the charge density and the root mean square radius of charge distribution are also calculated. They are in very good agreement with experimental values obtained from the elastic electron scattering and the muonic X-ray data. On the basis of the previous studies the nucleon densities. kinetic energy densities and spin densities of ⁴⁰Ca are calculated. Their shape and values are presented in this paper.

References

[1]

A. A. Ross, H. Mark and R. D. Lawaon, Phys. Rev., 102(1956),1613.[2] J. Blomqvist and S. Wahlborn, Arkiv For Fysik, 16(1960), 545.[3] R. R. Shaw, A. Swift and L. R. B. Elton, Proc. Phys. Soc., 86(1965), 513.[4] L. R. B. Elton and A. Swift, Nucl. Phys., A94(1967), 52.[5] L. R.. B. Elton and S. J. Webb. Phys. Rev. Lett,, 24(1970), 145[6] X. Campi anal D. W. Sprung, Nucl. Phys., A194(1972), 401[7] R. F. Frost et al: Phys. Rev; 174(1968), 1380.[8] J. L. Friar and W. Negele, Nucl. Phys., A212(1973), 93.[9] I. Sick, Nucl. Phys., A218(1974), 509.[10] I. Sick, Phys. Lett., 53B(1974), 15.[11] X. Campi, Hartree-Fock and self-consistent field theories in nuclei (North-Holland, Amsterdam, 1975) P. 271.[12] D. Vautherin and D. M. Brink, Phys. Rev., C5(1972), 626.[13] M. Beiner, H. Flocard, Nguyen Van Giai and P.Quentin. Nucl. Phys., A238(1975). 29.[14] C. B. Dover and Nguyen Van Giai, Nucl. Phys., A190(1972), 373[15] F. Malaguti, A. Ugnzzoni, E. Verondini and P. E. Hodgson, Nucl. Phys., A297(1978), 287.[16] F. Malagiiti, A. Uguzzoni, E. Verondini and P. E. Hodgson, Nuovo Cimento, 49A(1979), 412[17] K. A. Brueckner, Proc. Int. Congress on nuclear physics, Vol. 1 (Editions du Centre National de la Récherche Scientifique, Paais, 1964), p. 462.[18] B. Buck and P. E. Hodgaon, Phil. Mag., 6(1961), 1371.

[1]	Yi-Dan Song , Hui-Ling Wei , Chun-Wang Ma . Predictions for cross sections of light proton-rich isotopesin the ⁴⁰Ca + ⁹Be reaction. Chinese Physics C, 2018, 42(7): 074102. doi: 10.1088/1674-1137/42/7/074102
[2]	LIU Jing-Jing . Bremsstrahlung neutrino energy loss for ²⁴Mg, ²⁸Si, ³²S, ⁴⁰Ca, ⁵⁶Fe in strong electron screening. Chinese Physics C, 2010, 34(2): 171-176. doi: 10.1088/1674-1137/34/2/003
[3]	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.
[4]	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.
[5]	LIU Jian-Feng , ZHAO Wei-Juan . Stuty on the Process of the Fast Neutron Radiative Capture for ⁴⁰Ca and ²⁰⁸Pb. Chinese Physics C, 2002, 26(11): 1158-1165.
[6]	WEI Zhi-Yong , DUAN Li-Min , JIN Gen-Ming , WU He-Yu , LI Zu-Yu , SHEN Wen-Qing , XI Hong-Fei , ZHU Yong-Tai , ZHANG Bao-Guo , WANG Hong-Wei , XIAO Zhi-Gang , LIU Yong-Ying , , . Freeze-Out Density of the 35MeV/u ⁴⁰Ar+¹⁹⁷Au Reaction. Chinese Physics C, 2001, 25(9): 839-844.
[7]	Soojae Im , MENG Jie , ZHOU Shan-Gui , YANG Si-Chun , LONG Wen-Hui . Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions. Chinese Physics C, 2001, 25(4): 322-328.
[8]	PENG GuangXiong , JIANG HuanQing , LIU ZhiJun , ZHOU LeMing , LIU Bo , CHENG XingGuo , LI JingHua . Charge Dependence of the Critical Density of Strange Quark Matter in a New Mass Scaling. Chinese Physics C, 2000, 24(8): 732-738.
[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]	Chen Liewen , Zhang Fengshou . Density and Temperature Depdendent Symmetry Energy. Chinese Physics C, 1999, 23(12): 1197-1202.
[11]	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.
[12]	Dou Zhiguo , Jing Xiaogong , Zhao Guoquan . Single-Particle and Single Hole Energies in the ⁴⁰Ca Region. Chinese Physics C, 1991, 15(S1): 85-92.
[13]	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.
[14]	ZHENG Chun-Kai . CHARGE DENSITY DISTRIBUTIONS OF DEFORMED NUCLEI. Chinese Physics C, 1990, 14(8): 753-761.
[15]	NING Ping-Zhi . THE ΛN INTERACTION AND THE HYPERNUCLEUS ^40_ΛCa. Chinese Physics C, 1987, 11(5): 708-712.
[16]	LI Zhu-Xia , ZHANG Xi-Zhen . A STUDY OF THE ISOSCALAR GIANT RESONANCE IN ⁴⁰Ca. Chinese Physics C, 1986, 10(3): 330-334.
[17]	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.
[18]	SHEN Wen-Qing , QIAO Wei-Min , ZHU Yong-Tai , ZHAN Wen-Long . DIFFUSION MODEL ANALYSES OF THE EXPERIMENTAL DATA OF ¹²C+²⁷Al,⁴⁰Ca DISSIPATIVE COLLISIONS. Chinese Physics C, 1984, 8(6): 732-739.
[19]	LI ZHU-XIA , ZHANG XI-ZHEN . THE l-FORBIDDEN M₁ TRANSITIONS AND EFFECTIVE g-FACTORS IN ⁴⁰Ca±1 NUCLEI. Chinese Physics C, 1982, 6(3): 381-384.
[20]	Zhao Shu-ping . CALCULATION OF THE ELASTIC-SCATTERING CROSS-SECTION OF ENERGETIC ELECTRON BY ⁴⁰Ca NUCLEUS IN CONSIDERATION OF THE INFLUENCE OF“PION CONDENSATION”. Chinese Physics C, 1980, 4(5): 569-575.

Access

Get Citation

SHEN Qing-Biao, TIAN Ye and LIU Rui-Zhe. CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca[J]. Chinese Physics C, 1983, 7(4): 473-480.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2184)
PDF Downloads(508)
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

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca

Corresponding author: SHEN Qing-Biao,

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1983-08-05

Abstract: In this paper a set of energy-independent local Woods-Saxon potential parameters for ⁴⁰Ca are adjusted to perform the single-particle shell model calculations. By use of these parameters the single-particle energies are calculated. The results are compared with the experimental data. It is shown that the agreements between them are not only in order but also in position of levels which are very close except the theoretical values for 1s state of neutrons 1s and 1p states of protons are evidently lower than the experimental ones. In addition, the charge density and the root mean square radius of charge distribution are also calculated. They are in very good agreement with experimental values obtained from the elastic electron scattering and the muonic X-ray data. On the basis of the previous studies the nucleon densities. kinetic energy densities and spin densities of ⁴⁰Ca are calculated. Their shape and values are presented in this paper.

HTML

Reference (1)

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca

Corresponding author: SHEN Qing-Biao,

HTML

目录

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR 40Ca

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR 40Ca

Corresponding author: SHEN Qing-Biao,

HTML

目录

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca

CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca