Abstract

Nuclear reactions with three bodies in their final state may proceed through different reaction mechanisms. The Feynman graph technique has been widely used to describe such reactions. However, it is very difficult in general to select the graphs that dominate in given process. The Treiman-Yang criterion is one of the most powerful experimental tests for verifying the pole approximation prediction when describing a quasi-free reaction mechanism. We propose the theoretical study of the H 2 (B 10 ,α Be 7 )ns, H 1 (B 11 ,α 1α2)αs, He 3 (Be 9 ,α 1α2)αs reactions at different energies. The preliminary study helps to check the existence of a QF channel by using the TY creterion. The Trojah Horse Method (THM) is a powerful indirect technique that allows to determine the astrophysical factor for rearrangement reactions. The THM involves obtaining the cross section of the binary process 0+T→1+2 at astrophysical energies by measuring the Trojan Horse (TH) reaction (the two-body to three-body process) 0+N→1+2+s in the quasifree (QF) kinematics mode, where the Trojan Horse particle, N = (s+T), which has a dominant cluster structure, is accelerated at energies above the Coulomb barrier. The advantage of the THM is that the extracted cross section of the binary subprocess does not contain the Coulomb barrier suppresion factor and electron screening does not play a role in the cross section. After penetrating the barrier, the TH-nucleus N undergoes breakup leaving particle T

Highlights

  • The Trojah Horse Method (THM) is a powerful indirect technique that allows to determine the astrophysical factor for rearrangement reactions

  • The advantage of the THM is that the extracted cross section of the binary subprocess does not contain the Coulomb barrier suppresion factor and electron screening does not play a role in the cross section

  • The Treiman-Yang (TY) criterion establishes that the amplitude of the three-body reaction should be invariant under rotation of the (p1,p2) plane around the sum of these momenta, in a reference frame in which the projectile is at rest [2]

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Summary

Introduction

The Trojah Horse Method (THM) is a powerful indirect technique that allows to determine the astrophysical factor for rearrangement reactions. The THM involves obtaining the cross section of the binary process 0+T→1+2 at astrophysical energies by measuring the Trojan Horse (TH) reaction (the two-body to three-body process) 0+N→1+2+s in the quasifree (QF) kinematics mode, where the Trojan Horse particle, N = (s+T), which has a dominant cluster structure, is accelerated at energies above the Coulomb barrier. One of these criteria is the study of the distribution with respect to the Treiman-Yang angle.

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