Effective interactions for the three-body problem

Effective Interactions for the Three-Body Problem

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (H and He), where it is shown that the interaction reproduces the exact binding energy, regardless of the parameterization (number of oscillator quanta or value of the oscillator...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Three-Body Interactions in Many-Body Effective Field Theory

A general principle of any effective low-energy theory is that if a system is probed or interacts at low energies, resolution is also low, and fine details of what happens at short distances or in high-energy intermediate states are not resolved [ 1]. In this case, it is easier and more efficient to use low-energy degrees of freedom for low-energy processes. The short-distance structure can be ...

Effective Three-Body Interactions in the UCOM Framework

We investigate the influence of phenomenological threebody forces supplementing unitarily transformed two-body potentials. For interactions constructed within the Unitary Correlation Operator Method (UCOM) the short-range central and tensor correlations induced by the nuclear interaction are treated explicitly by a unitary transformation. The character of the correlations is encapsulated in the...

Contemporary Status of the Three-Body Problem with Coulomb Interactions