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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

  • 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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    [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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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.
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. shu
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Received: 1900-01-01
Revised: 1900-01-01
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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,
  • 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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