Neutron-proton scattering and singular potentials

被引:4
作者
Elbistan, Mahmut [1 ]
Zhang, Pengming [1 ]
Balog, Janos [1 ,2 ]
机构
[1] Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China
[2] Wigner Res Ctr, MTA Lendulet Holog QFT Grp, POB 49, H-1525 Budapest 114, Hungary
基金
中国国家自然科学基金;
关键词
inverse scattering method; nucleon potential; nucleon scattering; singular potential; PADE PHENOMENOLOGY; DEUTERON;
D O I
10.1088/1361-6471/aadc77
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering data suggest a singular repulsive core of the potential of the form 2/r(2) and 6/r(2) in natural units, for the S-3(1) and S-1(0) channels, respectively. The simplest solution in the S-3(1) channel contains three parameters only but reproduces all features of the potential and bound state wave function within one percent error. We also consider the S-3(1)-D-3(1) coupled channel problem with the coupled channel Marchenko inversion method.
引用
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页数:23
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