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

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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.

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[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.

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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.

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Received: 1900-01-01
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通讯作者: 陈斌, bchen63@163.com

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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.

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

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

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

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

Corresponding author: SHEN Qing-Biao,

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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