Deuteron-equivalent and phase-equivalent interactions within light nuclei

Shirokov, A.M.; Kulikov, V.A.; Mazur, A.I.; Vary, J.P.; Maris, P.

Авторы: Shirokov A.M., Kulikov V.A., Mazur A.I., Vary J.P., Maris P.
Журнал: Physical Review C - Nuclear Physics
Том: 85
Номер: 3
Год издания: 2012
Издательство: American Physical Society
Местоположение издательства: United States
Первая страница: 034004-1
Последняя страница: 034004-7
DOI: 10.1103/PhysRevC.85.034004
Аннотация: Background. Phase-equivalent transformations (PETs) are well-known in quantum scattering and inverse scattering theory. PETs do not affect scattering phase shifts and bound state energies of two-body system but are conventionally supposed to modify two-body bound state observables such as the rms radius and electromagnetic moments. Purpose. In order to preserve all bound state observables, we propose a new particular case of PETs, a deuteron-equivalent transformation (DET-PET), which leaves unchanged not only scattering phase shifts and bound state (deuteron) binding energy but also the bound state wave function. Methods. The construction of DET-PET is discussed; equations defining the simplest DET-PETs are derived. We apply these simplest DET-PETs to the JISP16 NN interaction and use the transformed NN interactions in calculations of $^3$H and $^4$He binding energies in the No-core Full Configuration (NCFC) approach based on extrapolations of the No-core Shell Model (NCSM) basis space results to the infinite basis space. Results. We demonstrate the DET-PET modification of the np scattering wave functions and study the DET-PET manifestation in the binding energies of $^3$H and $^4$He nuclei and their correlation (Tjon line). Conclusions. It is shown that some DET-PETs generate modifications of the central component while the others modify the tensor component of the NN interaction. DET-PETs are able to modify significantly the np scattering wave functions and hence the off-shell properties of the NN interaction. DET-PETs give rise to significant changes in the binding energies of $^3$H (in the range of approximately 1.5 MeV) and $^4$He (in the range of more than 9 MeV) and are able to modify the correlation patterns of binding energies of these nuclei.
Добавил в систему: Широков Андрей Михайлович

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