Photodisintegration of3Hin a three dimensional faddeev approach

S Bayegan,M.R Hadizadeh,M.A Shalchi

doi:10.1051/epjconf/20100304008

S Bayegan, M.R Hadizadeh + Show 1 more

Open Access

https://doi.org/10.1051/epjconf/20100304008

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Abstract

An interaction of a photon with 3H is invstigated based on a three dimensional Faddeev approach. In this approach the three-nucleon Faddeev equations with two-nucleon interactions are formulated with consideration of the magnitude of the vector Jacobi momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, without employing a partial wave decomposition. In this formulation the two body t-matrices and triton wave function are calculated in the three dimensional approach using AV18 potential. In the ﬁrst step we use the standard single nucleon current in this article.

Highlights

We will use AV18 potential and triton wave function which has been calculated in our previous work [20]. This manuscript has been organized as follow: in section 2 we explain our basic states and we evaluate all of the matrix elements in these basis
For evaluating the Triton wave function we need to make a relation between this wave function in our basic states to the one which has been calculated in the following basis[20]: pq(s 2 )S mS (t 2 )T mT |ψ = pq, Xpq, α|ψ
In this paper we have formulated the Faddeev integral equations for calculating the photodisintegration observable of triton in a three dimensional approach. To this aim we introduced our basic states which contains jacobi momenta in vector forms as well as individual spin and isospin of each nucleon

Summary

Introduction

This manuscript has been organized as follow: in section 2 we explain our basic states and we evaluate all of the matrix elements in these basis. For evaluating the Triton wave function we need to make a relation between this wave function in our basic states to the one which has been calculated in the following basis[20]: pq(s 2 )S mS (t 2 )T mT |ψ = pq, Xpq, α|ψ (24). We can relate these states to our free spin and isospin states with Clebsch-Gordan coefficients. We should use Clebsch-Gordan coefficients to obtain the wave function in the calculated basis mentioned in the equation (24): pqm1m2m3ν1ν2ν3|ψ

Singularity problem

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