Comments on the classical approach to non-Rutherford cross section calculations

doi:10.1016/0168-583X(93)95945-2

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Volume 74, Issue 4, 1 June 1993, Pages 491-495

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Abstract

Non-Rutherford cross sections are needed in high energy backscattering spectroscopy. Bozoian et al. have developed a classical model and derived an analytical expression to calculate the projectile energy E_nr at which the scattering cross section begins to deviate from its Rutherford value. We make comments on the model and conclude, through discussions and experiments, that (1) it is useful in estimating the energy value but gives incorrect dependences of E_nr on the departure factor F and the scattering angle χ, and (2) these inadequacies originate from the classical approach, which is an over-simplified and phenomenal description of nature.

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Nucleon excitation studies are discussed in [1993RO13,1995NI01,1995ZO01,1997GI02,1997GI12,1998GA25,1999BA31,2004BO47,2008BO24,2011VA11]. Effects such as transparency of the nuclear medium have been studied by [1990FR11,1992BE23,1992FR17,1992GA02,1992JE03,1992PA03,1993LO01,1993NI11,1994FR12,1994FR16,1994GR05,1994IR02,1994KO21,1994MA23,1994NI05,1995FR04,1996KE14,1996NI13,1997AL20,1997IW03,1999RY06,2000DU12,2000LA23,2001FR06,2002DE11,2002GA43,2002ME11,2002ME17,2003DU23,2003RY02,2004BA99,2004BO47,2004HA63,2004LA13,2005RO38,2006RO37,2007CL04,2009KA02,2010QI02,2013RO06]. Discussion on other final state effects is given in [1991CA09,1994IR02,1994JE04,1994RY04,1995BI07,1995BI19,1995NI02,1996BI01,1996BI21,1996JE04,1999KE04,2002DE07,2004BA99,2004BB15,2005BA07,2005BA23,2005PR02,2007AL14,2007PI05], and discussion on the reaction mechanism is found in [1990LO09,1991VA05,1992DR02,1993CI05,1993OF01,1994IR01,1994RY03,1994TA11,1994WE06,1999MO02,2002ME17,2004FR27,2004MU29,2004RO35,2004TA18,2011RY03].
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Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Abstract

References (10)

Nucl. Instr. and Meth.

Nucl. Instr. and Meth.

Nucl. Instr. and Meth.

Nucl. Instr. and Meth.

Nucl. Instr. and Meth.

Cited by (6)

Non-Rutherford cross-sections for alpha elastic scattering off Z = 28–38 elements in the energy range up to 10 MeV

Energy levels of light nuclei A = 12

Increase in coercivity of Fe-Pt thin film permanent magnets by N <inf>2</inf><sup>+</sup> ion implantation and heat treatment in hydrogen gas

On the concept of an actual Coulomb barrier

Proton elastic scattering cross section for carbon: confrontation of theory and experiment

Angular distributions of <sup>12</sup>C, <sup>14</sup>N, and <sup>16</sup>O ion elastic scattering by sulfur near the Coulomb barrier and the high-energy limits of heavy-ion Rutherford scattering