The explosion of chiral many-body forces: How to deal with it?

11th International Spring Seminar on Nuclear Physics: Shell Model and Nuclear Structure – achievements of the past two decades

Machleidt, R.^1

Department of Physics, University of Idaho, Moscow

ID

83844, United States^1

关键词: Chiral effective-field theory;    Many body;    Many-body systems;    Model independent;    Next to next to leading orders;    Nuclear force;    Renormalization;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/580/1/012002/pdf
DOI  :  10.1088/1742-6596/580/1/012002

来源: IOP

【 摘 要 】

During the past two decades, it has been demonstrated that chiral effective field theory represents a powerful tool to deal with nuclear forces in a systematic and model- independent way. Two-, three-, and four-nucleon forces have been derived up to next-to-next-to- next-to-leading order (N3LO) and (partially) applied in nuclear few- and many-body systems- with, in general, a good deal of success. But in spite of these achievements, we are still faced with some great challenges. Among them is the problem of a proper renormalization of the two- nucleon potential. Another issue are the subleading many-body forces, where the "explosion" of the number of terms with increasing order and the order-by-order convergence are reasons for concern. In this talk, I will mainly focus on the latter topic.