141 research outputs found

    Ab-initio calculations of four-nucleon elastic scattering

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    We present microscopic calculations of low energy scattering observables in all possible four nucleon systems : n-3H, p-3He and p-3H. Results were obtained by solving Faddeev-Yakubovski equations in configuration space, appropriately modified to include Coulomb and three-nucleon forces

    Four nucleon systems : a zoom to the open problems in nuclear interaction

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    Faddeev-Yakubovski equations in configuration space are used to solve four nucleon problem for bound and scattering states. Different realistic interaction models are tested, elucidating open problems in nuclear interaction description. On one hand, by example of nonlocal Doleschall potential, we reveal possibility of reducing three-nucleon force. On the other hand we disclose discrepancies in describing n+3^3H resonance, which seems to be hardly related with off-shell structure of nucleon-nucleon interaction.Comment: 8 pages ; 3 fig

    Scattering of heavy charged particles on hydrogen atoms

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    The low energy scattering of heavy positively charged particles on hydrogen atoms (H) are investigated by solving the Faddeev equations in configuration space. A resonant value of the pH scattering length, a=750±5a=750\pm 5 a.u., in the pp antisymmetric state was found. This large value indicates the existence of a first excited state with a binding energy B=1.14×10−9\times10^{-9} a.u. below the H ground state. Several resonances for non zero angular momenta states are predicted.Comment: 8 pages, 9 figures, contribution to International Workshop "Dynamics and structure of critically stable quantum few-body systems" held at Les Houches, France, October 8-13, 2001. To appear in Few-Body Physic

    Small clusters of fermions

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    By comparing respectively the interaction between 3He atoms and the neutron-neutron one, we examine the possibility for both fermionic systems to form small clusters.Comment: Contributed talk to 17th International IUPAP Conference on Few-Body Problems in Physics, Durham, North Carolina, 5-10 June 2003. Published in the proceedings (Elsevier, 2004) pp. S106-S10

    Coulomb effects in four nucleon continuum states

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    The Faddeev-Yakubovski equations are solved in configuration space for low energy four-nucleon continuum states. Coulomb interaction was included into the formalism permitting an exact description of the scattering states in p+3^{3}He and p+3^{3}H systems

    Low energy n-\nuc{3}{H} scattering : a novel testground for nuclear interaction

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    The low energy n-\nuc{3}{H} elastic cross sections near the resonance peak are calculated by solving the 4-nucleon problem with realistic NN interactions. Three different methods -- Alt, Grassberger and Shandas (AGS), Hyperspherical Harmonics and Faddeev-Yakubovsky -- have been used and their respective results are compared. We conclude on a failure of the existing NN forces to reproduce the n-\nuc{3}{H} total cross section.Comment: To be published in Phys. Rev.

    On the possibility of generating a 4-neutron resonance with a {\boldmath T=3/2T=3/2} isospin 3-neutron force

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    We consider the theoretical possibility to generate a narrow resonance in the four neutron system as suggested by a recent experimental result. To that end, a phenomenological T=3/2T=3/2 three neutron force is introduced, in addition to a realistic NNNN interaction. We inquire what should be the strength of the 3n3n force in order to generate such a resonance. The reliability of the three-neutron force in the T=3/2T=3/2 channel is exmined, by analyzing its consistency with the low-lying T=1T=1 states of 4^4H, 4^4He and 4^4Li and the 3H+n^3{\rm H} + n scattering. The {\it ab initio} solution of the 4n4n Schr\"{o}dinger equation is obtained using the complex scaling method with boundary conditions appropiate to the four-body resonances. We find that in order to generate narrow 4n4n resonant states a remarkably attractive 3N3N force in the T=3/2T=3/2 channel is required.Comment: 11 pages, 11 figures, minor change, published version, to be published in Physical Review
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