The Operator form of 3H (3He) and its Spin Structure

Abstract

An operator form of the 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.

21 pages, 1 table, 8 figures, revtex4

References in corpus (5)

• Quantum Monte Carlo Calculations of Light Nuclei
• The alpha-particle based on modern nuclear forces
• New Forms of Deuteron Equations and Wave Function Representations
• Model Study of Three-Body Forces in the Three-Body Bound State
• Numerical Implementation of Three-Body Forces in Bound State Faddeev Calculations in Three Dimensions

Cited by in corpus (13)

• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• A New Treatment of 2N and 3N Bound States in Three Dimensions
• The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO
• Low-momentum effective interaction in the three-dimensional approach
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme
• Towards a three dimensional solution for 3N bound states with 3NFs
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• 3H and 3He calculations without angular momentum decomposition