Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon  

作　　者：B.C.Lütfüoglu 

机构地区：[1]Department of Physics, Akdeniz University

出　　处：《Communications in Theoretical Physics》2018年第1期23-27,共5页理论物理通讯（英文版）

基　　金：Supported by the Turkish Science and Research Council(TBTAK);Akdeniz University

摘　　要：In this study, we reveal the difference between Woods-Saxon(WS) and Generalized Symmetric WoodsSaxon(GSWS) potentials in order to describe the physical properties of a nucleon, by means of solving Schr¨odinger equation for the two potentials. The additional term squeezes the WS potential well, which leads an upward shift in the spectrum, resulting in a more realistic picture. The resulting GSWS potential does not merely accommodate extra quasi bound states, but also has modified bound state spectrum. As an application, we apply the formalism to a real problem,an α particle confined in Bohrium-270 nucleus. The thermodynamic functions Helmholtz energy, entropy, internal energy,specific heat of the system are calculated and compared for both wells. The internal energy and the specific heat capacity increase as a result of upward shift in the spectrum. The shift of the Helmholtz free energy is a direct consequence of the shift of the spectrum. The entropy decreases because of a decrement in the number of available states.

关 键 词：Woods-Saxon potential generalized symmetric Woods-Saxon potential bound states analytical solutions partition function thermodynamic functions 

分 类 号：O414.1[理学—理论物理] N04[理学—物理]