**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31819

##### Crystalline Model Approach for Studying the Nuclear Properties of Light Nuclei

**Abstract:**

A study of the structure of the nucleus with the analogy by solid-state physics has been developed. We have used binding energy to calculate R (a parameter that is proportional to the radius of the nucleus) for deuteron, alpha, and ^{8}Be. The calculated parameter r calculated from solid state physics produces a probe for calculation the nuclear radii. ^{8}Be has special attention as it is radioactive nucleus and the latest nucleus to be calculated from crystalline model approach. The distribution of nucleons inside the nucleus is taken to be tetrahedral for ^{16}O. The model has failed to expect the radius of ^{9}Be which is an impression about the modification should be done on the model at near future. A comparison between our calculations and those from literature has been made, and a good agreement has been obtained.

**Keywords:**
The structure of the nucleus,
binding energy,
crystalline model approach,
nuclear radii,
tetrahedral for 16O.

**References:**

[1] A. Carlos, A. Bertulani, Nuclear physics in a Nutshell, Princeton University press, 2007.

[2] I.Angelia, K.P. Marinova, Atomic Data and Nuclear Data Tables 99 (2013) 69–95.

[3] Bu Borasoy, Evgeny Epelbaum, Hermann Krebs, Dean Lee, Ulf-G. Meißner, R. Bijker, F. Iachello, Phys. Rev. Lett. 112, (2104) 15, 152501.

[4] James F. Shackelford, Introduction to Materials Science for engineer, Pearson; 8 edition (April 12, 2014)

[5] M. Fukugita, Y. Kuramashi, M. Okawa, H. Mino, and A. Ukawa, Phys. Rev. D52, 3003(1995), hep-lat/9501024.

[6] S. R. Beane, P. F. Bedaque, A. Parreno, and M. J. Savage, Phys. Lett. B585, 106 (2004),hep-lat/0312004.

[7] S. R. Beane, P. F. Bedaque, K. Orginos, and M. J. Savage, Phys. Rev. Lett. 97, 012001 (2006),hep-lat/0602010.

[8] A. Nogga, H. Kamada, W. Glöckle, and B. R. Barrett, Phys. Rev. C65, 054003 (2002), nucl-th/0112026.

[9] R. Bijker, F. Iachello, Phys. Rev. Lett. 112, (2104) 15, 152501.

[10] B.A. Urazbekov,1,2, A.S. Denikin2,3, Eurasian Journal of Physics and Functional Materials, 2018, 2(1), 17-22 .

[11] Yu. N. Eldyshev et al, Sov. Jour. Nucl. Phys. 16 (1973) 282.

[12] H. DE Varis, Atomic Data and Nuclear Data Tables, Vol. 36, No. 3, (1987).

[13] B. A. Watson, P.P. Singh, and R.E. Segal, Phys. Rev. Vol. 182, No. 4 1969, PP. 977-989.