Abstract
Spin-isospin excitation of ${}^3$He nucleus by proton-induced charge-exchange reaction, ${}^3\mathrm{He}(p,n)ppp$, at forward neutron scattering angle is studied in a plane wave impulse approximation (PWIA). In PWIA, cross sections of the reaction is written in terms of proton-neutron scattering amplitudes and response functions of the transition from ${}^{3}$He to three-proton state by spin-isospin transition operators. The response functions are calculated with realistic nucleon-nucleon potential models using a Faddeev three-body method. Calculated cross sections agree with available experimental data in substance. Possible effects arising from the uncertainty of proton-neutron amplitudes and three-nucleon interactions in three-proton system are examined.
Highlights
Three-nucleon (3N) systems: 3H, 3He, nucleon-deuteron elastic and breakup reactions, etc., have been playing important roles in the quest for the details of interactions among nucleons.These systems are essentially total isospin T = 1 2 states.( the breaking of charge symmetry in nuclear interaction and the Coulomb interaction allow a mixture of3 2 components, its percentage is quite small [1].)On the other hand, knowledge of interactions among three nucleons, especially of three-nucleon interactions, in3 2 states is expected for studies on heavier nuclei, neutron-rich nuclei, neutron-star matter, etc
I will study a charge-exchange reaction: 3He(p, n)ppp reaction at incident proton energies of several hundreds MeV and the reaction angle θn = 0◦. This is a four-body reaction that is still difficult to perform rigorous calculations at high energies, the cross section of the reaction in PWIA is written in terms of n(p, n)p scattering amplitudes and response functions of 3N system
The corresponding response functions will be denoted as Rc(E), RL(E), and RT (E), respectively, The unpolarized differential cross section I(0◦) and the polarization transfer coefficients, DLL(0◦) and DNN (0◦), for the 3He(p, n)ppp reaction are expressed as
Summary
Three-nucleon (3N) systems: 3H, 3He, nucleon-deuteron elastic and breakup reactions, etc., have been playing important roles in the quest for the details of interactions among nucleons. I will study a charge-exchange reaction: 3He(p, n)ppp reaction at incident proton energies of several hundreds MeV and the reaction angle θn = 0◦ This is a four-body reaction that is still difficult to perform rigorous calculations at high energies, the cross section of the reaction in PWIA is written in terms of n(p, n)p (pn) scattering amplitudes and response functions of 3N system. This method is based on solving the Faddeev equation as integral equations in coordinate space, which even includes long range Coulomb force effects [6, 7], and has been successfully applied for the proton-deuteron systems [8] and three alpha-particles systems [9] In this paper, this method will be applied for calculating the response functions of 3p final states. Some kinematical values related to the reaction will be summarized
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