Spin-structures of N-boson systems with nonzero spins - an analytically solvable model with pairing force

TL;DR

This paper introduces an analytically solvable model for N-boson systems with nonzero spins, focusing on their pairing structures, spin correlations, and excitations under various forces and magnetic fields.

Contribution

It presents a new analytical model for studying pairing and spin-structures in N-boson systems with nonzero spins, including solutions for different interaction types.

Findings

Analytical solutions for ground state spin-structures.

Defined a two-body spin-correlation analogue.

Studied excitations under various conditions.

Abstract

A model is proposed to study the possible pairing structures of N-boson systems with nonzero spin. Analytical solutions have been obtained. The emphasis is placed on the spin-structures of ground states with attractive or repulsive pairing force, and with or without the action of a magnetic field. A quantity (an analogue of the two-body density function) is defined to study the spin-correlation between two bosons in N-body systems. The excitation of the system has also been studied.