Bochum 2009 – scientific programme

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HK: Fachverband Hadronen und Kerne

HK 67: Poster Session

HK 67.26: Poster

Thursday, March 19, 2009, 14:00–16:00, Audi-Max

Nucleon -- nucleon scattering phase shifts and the realistic potentials — •Marius Kaminskas and Gintautas Kamuntavicius — Vytautas Magnus University, Vileikos st. 8, LT-44404, Kaunas, Lithuania

The recent realistic nucleon -- nucleon (NN) potentials are defined as set of functions v_{p}(r), present in expression:

V(r,Ω)=*_{p}v_{p}(r)O_{p}(Ω),

where r is a radial variable and Ω marks the set of angular variables and spin -- isospin degrees of freedom of two interacting nucleons. The sum over p in this equation is restricted because the set O_{p}(Ω) consists of no more than 14 charge--independent operators. The main idea of paper is based on expression of NN potential in terms of orthogonal projectors P_{j^{π}t}(Ω) to different two -- nucleon channels j^{π}t:

V(r,Ω)=*_{j^{π}t}V^{j^{π}t}(r)P_{j^{π}t}(Ω).

The narrow set of operators O_{p}(Ω) causes the problems with necessary number of NN phase shifts description. As a result, this produces very short set of two -- nucleon channels j^{π}t, for which the independent NN potentials V^{j^{π}t}(r) can be constructed. From another side, the microscopic description of atomic nuclei requires the NN potentials, defined for large enough set of two - nucleon channels j^{π}t. May be, namely this shortage of operators O_{p}(Ω) causes well -- known problems with lightest nuclei description.