Operator form of3H (3He) and its spin structure

Imam Fachruddin, W. Glöckle, Ch Elster, A. Nogga

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

An operator form of the three-nucleon (3N) bound state is proposed. It consists of eight operators formed out of scalar products in relative momentum and spin vectors, which are applied on a pure 3N spin 1/2 state. Each of the operators is associated with a scalar function depending only on the magnitudes of the two relative momenta and the angle between them. The connection between the standard partial wave decomposition of the 3N bound state and the operator form is established, and the decomposition of these scalar function in terms of partial wave components and analytically known auxiliary functions is given. That newly established operator form of the 3N bound state exhibits the dominant angular and spin dependence analytically. The scalar functions are tabulated and can be downloaded. As an application the spin dependent nucleon momentum distribution in a polarized 3N bound state is calculated to illustrate the use of the new form of the 3N bound state.

Original languageEnglish
Article number064002
JournalPhysical Review C - Nuclear Physics
Volume69
Issue number6
DOIs
Publication statusPublished - 1 Jan 2004

Fingerprint Dive into the research topics of 'Operator form of<sup>3</sup>H (<sup>3</sup>He) and its spin structure'. Together they form a unique fingerprint.

Cite this