A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

  • In this paper, the Schrödinger equation for a 6-body system is studied. We solve this equation for the lithium nucleus by using a supersymmetry method with several specific potentials. These potentials are the Yukawa potential, the generalized Yukawa potential and the Hellmann potential. The results of our model for all calculations show that the ground state binding energy of the lithium nucleus with these potentials is very close to that obtained experimentally.
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  • [1] Salehi N, Rajabi A A, Ghalenovi Z. Chinese Journal of Physics, 2012, 50: 1[2] Salehi N, Rajabi A A. Physica Scripta, 2012, 85: 055101[3] Salehi N, Rajabi A A. Zahra Ghalenovi. Acta Physica Polonica B, 2011, 42: o6[4] Salehi N, Rajabi A A. Mod. Phys. Lett. A, 2009, 24: 2631[5] Panella O, Biondini S, Arda A. Math-ph, 2010, 2: 1002.3723[6] Pekeris C L. Phys. Rev., 1934, 45: 98[7] Flügge S. Practical Quantum Mechanics, 1994. 1(Springer, Berlin)[8] Badalov V H, Ahmadov H I, Badalov S V. Int. J. Mod. Phys. E, 2010, 19: 1463-1475[9] Bayrak O, Kocak G, Boztosun I. J. Phys. A: Math. Gen., 2006, 39: 11521[10] Arda A, Sever R. Quant-Phy, 2009, 1: 0902.2088[11] Mehta C H, Patil S H. Phys. Rev. A, 1978, 17: 34[12] Dutt R, Varshni Y P. Z. Phys. A, 1983, 313: 143[13] Alhaidari A D, Bahlouli H, Abdelmonem M S. J. Phys. A, Math. Theor., 2008, 41: 032001[14] Imbo T, Pagnamenta A, Sukhatme U. Phys. Lett. A, 1984, 105: 183[15] Hellmann H. Acta Physicochim. URSS, 1935, 1: 913; 1936, 4: 225; 1936, 4: 324; J. Chem. Phys., 1935, 3: 61[16] Hellmann H, Kassatotchkin W. Acta Physicochim. URSS, 1936, 5, 23; J. Chem. Phys., 1936, 4: 324[17] Adamowski J. Phys. Rev. A, 1985, 31: 43[18] Varshni Y P, Shukla R C. Rev Mod. Physi., 1963, 35: 130[19] Gryaznov V K. Zh. Eksp. Teor. Fiz., 1980, 78: 573; Sov. Phys. JETP, 1980, 51: 288[20] Alekseev V A, Fortov V E, Yakubov I T. USP. Fiz Nauk, 1983, 139: 193; Sov. Phys.-USP., 1983, 26: 99[21] Gombas P. Die Statistische Theorie des Atoms und ihre Anwendungen. Springer: Berlin, 1949, 304[22] Callaway J. Phys. Rev., 1958, 112: 322; Iafrate G J. J. Chem. Phys., 1966, 45: 1072; Callaway J, Laghos P S. Phys. Rev., 1969, 187: 192; McGinn G. J. Chem. Phys., 1970, 53: 3635[23] Bebnarek S, Adamowski J, Saffczy'nski M. Solid State Commun., 1977, 21: 1[24] Pollmann J, Buttner H. Phys. Rev. B, 1977, 16: 4480; Buttner H, Pollmann J. Physica(Utrecht), B, 1983, 278: 117/118[25] Roy A K, Jalbout A F, Proynov E I. Quant-Phys., 2013, 1: 2983[26] Arda A, Aydogdu O, Sever R. Math-Ph., 2011, 1: 3204[27] Hasanabadi H, Rajabi A A. Mod. Phys. Lett. A, 2009, 23: 7[28] cdfe.sinp.msu.ru/index.en.html
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N. Salehi, H. Hassanabadi and A. A. Rajabi. A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential[J]. Chinese Physics C, 2015, 39(6): 063106. doi: 10.1088/1674-1137/39/6/063106
N. Salehi, H. Hassanabadi and A. A. Rajabi. A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential[J]. Chinese Physics C, 2015, 39(6): 063106.  doi: 10.1088/1674-1137/39/6/063106 shu
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Received: 2014-07-07
Revised: 1900-01-01
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A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

    Corresponding author: N. Salehi,

Abstract: In this paper, the Schrödinger equation for a 6-body system is studied. We solve this equation for the lithium nucleus by using a supersymmetry method with several specific potentials. These potentials are the Yukawa potential, the generalized Yukawa potential and the Hellmann potential. The results of our model for all calculations show that the ground state binding energy of the lithium nucleus with these potentials is very close to that obtained experimentally.

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