@article {Ismail20112407,
	title = {Accuracy of the multipole expansion of density distribution in the presence of octupole deformation},
	journal = {International Journal of Modern Physics E},
	volume = {20},
	number = {12},
	year = {2011},
	note = {<p>cited By (since 1996) 0</p>
},
	pages = {2407-2415},
	abstract = {<p>The accuracy of multipole expansion of density distribution for deformed nuclei is tested. The interaction potential for a deformed-spherical pair of nuclei was calculated using the folding model derived from zero-range nucleonnucleon (NN) interaction. We considered two spherical projectiles Ca 40 and Pb 208 scattered on U 238 deformed target nucleus. The error in the heavy ion (HI) potential resulting from using a truncated multipole density expansion is evaluated for each case in the presence of octupole deformation δ 3 besides quadrupole δ 2. We are interested in the value of error for R \&lt; R T (touching distance). We found that for values of |δ 3|<=0.1 the error at R = R T reaches reasonable values when six terms expansion is used. For |δ 3| = 0.2, we calculated the Coulomb barrier parameters using realistic NN force and found that the large error present in six terms for zero range force decreases strongly to less than 1\% when the zero range is added to finite range forces and Coulomb interaction to form the Coulomb barrier. It is noted that the negative value of octupole deformation parameters δ 3 = -0.1 produce error at orientation angle θ equal in value to that produced at angle (180{\textdegree}-θ) for the positive values δ 3 = 0.1. We also found that the error decreases as the mass number of the projectile nucleus increases. {\textcopyright} 2011 World Scientific Publishing Company.</p>
},
	url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-83755196825\&partnerID=40\&md5=2d4ee627f850e5bcaeb7d91f8473a19f},
	author = {M. Ismail and Botros,M. M. and Wheida, A.A.}
}
