Indexing
All Issues
Submission
Author Guidelines
Reviewers
Editorial Members
Publication Fee
Vol.4 , No. 2, Publication Date: Feb. 27, 2018, Page: 26-44
| [1] | Ibrahima Sakho, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal. |
In this paper, a method of calculation of the unit nuclear radius r0 in agreement with the Constant Density Model R = r0 A1/3 is made in the framework of classical electrodynamics. The first theoretical expression of r0 is established. Henceforth, one may calculate theoretically, quantities in nuclear physics whose estimates are based on the value of R on the limitations of classical and semi classical approaches to quantum mechanics. For this purpose, theoretical calculations of nuclei radius, nuclear potential barrier height, maximum energy of + spectrum of mirrors nucleus for which A = 2Z–1 and study of the nuclear volume effect on the hydrogen –like ions energy levels are made. Good agreements are obtained with various experiments.
Keywords
Constant Density Model, Unit Nuclear Radius, Nuclear Potential Barrier Height, Mirrors Nucleus, Nuclear Volume Effect, Hydrogen – Like Ions
Reference
| [01] | Pollard, E. C., “Nuclear Potential Barriers: Experiment and theory” Phys. Rev. 47, 611 (1935). |
| [02] | Hofstadter, H. R., Fechter, H. R. and McIntyre, J. A., “High-Energy Electron Scattering and Nuclear Structure Determination” Phys. Rev. 92, 978 (1953). |
| [03] | Day, R. B and Henkel, R. L., “Neutron Total Cross Section at 20 MeV” Phys. Rev. 92, 358 (1953). |
| [04] | Hollander, J. M., Perlman, I. and Seaborg, G. T., “Table of Isotopes” Revs. Mod. Phys, 25: 469 (1953). |
| [05] | Misdaq, M. A., “Structure du noyau atomique”, (Editions Afrique-Orient, 1996), ch. II, pp. 40, 49. |
| [06] | Fitch, V. L and Rainwater, J., “Study of X-Rays from Mu-Mesonic Atoms” Phys. Rev. 92, 789 (1953). |
| [07] | Bethe, H. A., “Nuclear Radius and Many- Body Problem” Phys. Rev. 50, 977 (1936). |
| [08] | Evans, R. D., “Le noyau atomique”, (Dunod, Paris, 1961), ch. II, p. 37, 39, 49, 52, 85. ch. XI, pp. 401, 426. |
| [09] | Bröcker, B., “Atlas de la physique atomique et nucléaire”, (Librairie Générale Française, 2001), p. 69. |
| [10] | Blanc, D., “Précis de physique nucléaire”, (Dunod, Paris, 1999), ch. II, p. 18. |
| [11] | Blanc, D., “Physique nucléaire”, (Masson et Cie Editeurs, Paris, 1974), ch. II, pp. 39, 49, 56. |
| [12] | Sivoukhine, D., “Cours de Physique générale, Physique atomique et nucléaire”, (Editions Mir Moscou, 1986), Vol. V, ch. II, p. 64. |
| [13] | Feenberg, E., “Semi-Empirical Theory of the Nuclear Energy Surface” Revs. Mod. Phys. 19: 239 (1947). |
| [14] | Present, R. D., “A Note on Nuclear Radii” Phys. Rev. 60: 28 (1941). |
| [15] | Jackson. J. D., “Electrodynamique classique”, (Dunod, Paris, 2001), ch. XIV, p. 697. |
| [16] | DuMond, J. W. M and Cohen, E. R., “Least-Squares Adjustment of Atomic Constants, 1952” Rev. Mod. Phys, 25 691 (1953). |
| [17] | Weizsäcker, C. F. Von., Z. Phys. 96, 431 (1935). |
| [18] | Brix, P and Kopfermann, H., Z. Physik, 126, 344 (1949); Festschr. Akad. Wiss. Göttingen, Math.-Phys. Kl., Vol. 17, (1952). |
| [19] | Foster, E. W., Repts. Progr. in Phys., 14, 288 (1951). |
| [20] | Bitter, F and Feshbach, H., Phys. Rev. 75, 1325A (1949); 76, 150L (1949). |
| [21] | Wu, C. S and Wilets. L., Comments Atom. Molec. Phys. 137 (1971). |
| [22] | Bohr, N., Nature, 137, 344 (1936). |
| [23] | Bohr, N and Wheeler, J. A., Phys. Rev. 56, 426 (1939). |
| [24] | Bethe, H. A and Bacher. R. F., Rev. Mod. Phys. 8, 82 (1936). |
| [25] | Cohen. B. L., “Concepts of Nuclear Physics” MC GRAW-Hill (1971). |
| [26] | Mukhin, K. H., “Experimental Nuclear Physics”, Vol. 1, Mir Publishers (1987). |
| [27] | Preston, M. A and Bhaduri “Structure of the Nucleus”, Addison- Wesley (1975). |
| [28] | Roy, R. R and Nigam, B. P., “Nuclear Physics. Theory and Experiment”, John Wiley and Son (1967). |
| [29] | Bowler, M. G., “Nuclear Physics”, Pergamon Press (1973). |
| [30] | Marmier, P and Sheldon. E, “Physics of Nuclei and Particles”, Academic Press (1969). |
| [31] | Wigner. E. P., Phys. Rev. 51, 947 (1937). |
| [32] | Hebach, H and Kümmel, H., Zeits f. Physik 186, 452 (1965). |
| [33] | Bethe, H. A and Bacher, R. F., Rev. Mod. Phys. 8, 82 (1936). |
| [34] | Bohr, N and Wheeler, J. A., Phys. Rev. 56, 426 (1939). |
| [35] | Mattauch, J and Fluegge, S., “Nuclear Physics Tables” and “An Introduction to Nuclear Physics”, Interscience Publishers, Inc., New York (1946). |
| [36] | Feengerg, E., Rev. Mod. Phys. 19, 239 (1947). |
| [37] | Friedlander, G and Kennedy, J. W., “Introduction to Radiochemistry” John Wiley & Sons, Inc., New York (1949). |
| [38] | Fermi, E. E “Nuclear physics” University of Chicago Press, Chicago (1950). |
| [39] | Pryce, M. H. L., Proc, Roy, Soc, London, A63, 692 (1950). |
| [40] | Wapstra, A. H., “Atomic Masses of Nuclides” Handbuch der Physik, Springer, Vol. 38, (Berlin, 1958). |
| [41] | Green, A. E. S, Rev. Mod. Phys. 30, 569 (1958). |
| [42] | Seeger, P. A., Nucl. Phys. 25, 1 (1961). |
| [43] | Myers, W. D and Swiatecki, W. J., Nucl. Phys. 81, 1 (1966). |
| [44] | Roy Chowdhury, P and and Basu, D. N., “Nuclear Matter Properties with the Re-Evaluated Coefficients of Liquid Drop Model” Acta Physica Polonica B, 37, 1834 (2006). |
| [45] | Annequin, R et Boutigny, J., “Cours de Physique, Electricité 2”, (Vuibert, Paris, 1974). |
| [46] | Cohen-Tanoudji, C. Bernard, D and Franck L., “Mécanique Quantique 2 (Paris: Hermann Editeurs des Sciences et des Arts (1992). |
| [47] | Bayram et al., Acta Physica Polonica B, 44, 1791, (2013). |
| [48] | Alkhazov G. D., et al, (2011). |
| [49] | Ozawa, A, Suzuki, T, and Tanihata, I, Nucl. Phys. A693, 32 (2001). |
| [50] | Nerlo- Pomorska, B and Pomorski, K, Z. Phys. A348, 169 (1994). |
| [51] | Ring P., Prog. Part. Nucl. Phys. 37, 193 (2006). |
| [52] | Meng. J, et al., Prog. Part. Nucl. Phys. 57, 170 (2006). |
