A new effective potential for deuteron

作     者：Taha Koohrokhi Sehban Kartal Taha Koohrokhi;Sehban Kartal

作者机构：Department of PhysicsFaculty of SciencesGolestan UniversityGorganIran Istanbul UniversityDepartment of Physics34000IstanbulTurkey 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2022年第74卷第7期

页      面：105-113页

核心收录：

学科分类：08[工学] 0827[工学-核科学与技术] 082701[工学-核能科学与工程] 0702[理学-物理学] 

基　　金：the financial support from Golestan University and Istanbul University 

主　　题：superpotential Boson exchange supersymmetry effective potential 

摘      要：We calculate for the first time the static properties of the deuteron, within the framework of supersymmetric quantum mechanics, analytically. A new effective potential and its partner are derived from a superpotential so that all parameters are fitted by the experimental data. An analytical expression is obtained for the deuteron wave function and contributions of the orthogonal ^(13)S_(1) and ^(13)D_(1) states are determined, explicitly. Compared to one pion exchange, the superpotential produces an electrostatic as well as two pion exchange terms for the potential. The saddle point radius of the potential and the maximum of the wave function are linearly proportional. In comparison with other methods, the approach presented in this paper is a new and extensible symmetry-based approach that, despite its straightforward calculations and explicit analytical expressions, provides a good explanation for two-body effective interactions such as two-nucleon systems and diatomic molecules.