Four-nucleon problem in the integral equation approach

作者: V.F. Kharchenko , V.P. Levashev

DOI: 10.1016/0375-9474(80)90653-3

关键词:

摘要: Abstract Integral equations of motion for the system consisting four pair-wise interacting nucleons are formulated. The nucleon-nucleon interaction is characterized by a charge-independent, spin-and isospin-exchange central potential general (local or non-local) form. derivation performed on basis Faddeev-Yacubovsky method taking Pauli principle strictly into account. obtained describe all possible processes in four-nucleon with two-fragment initial asymptotic state, as well bound states. calculations 4 He binding energy and n- 3 H scattering lengths carried out case separable rank-1 potentials application Bateman approximation subsystem amplitudes. correlations between calculated quantities their sensitivity to parameters NN studied. results compared available experimental data.

参考文章(41)
V. F. Kharchenko, S. A. Shadchin, Angular momentum reduction in the four-body problem Czechoslovak Journal of Physics. ,vol. 27, pp. 255- 279 ,(1977) , 10.1007/BF01587359
A.G. Baryshnikov, L.D. Blokhintsev, I.M. Narodetsky, Application of the method of integral equations for calculating the vertex constants for an α-particle Nuclear Physics A. ,vol. 272, pp. 327- 337 ,(1976) , 10.1016/0375-9474(76)90335-3
T. A. Tombrello, PHASE-SHIFT ANALYSIS OF T(n,n)T Physical Review. ,vol. 143, pp. 772- 774 ,(1966) , 10.1103/PHYSREV.143.772
A.G. Sitenko, V.F. Kharchenko, On the binding and scattering of the three-nucleon system Nuclear Physics. ,vol. 49, pp. 15- 28 ,(1963) , 10.1016/0029-5582(63)90069-5
Victor Frederick Weisskopf, John Markus Blatt, Theoretical Nuclear Physics ,(1952)
S. Fiarman, W.E. Meyerhof, Energy levels of light nuclei A = 4 Nuclear Physics A. ,vol. 206, pp. 1- 64 ,(1973) , 10.1016/0375-9474(73)90605-2
H. Kaiser, H. Rauch, W. Bauspiess, U. Bonse, Measurement of the coherent neutron scattering length of 3He by neutron interferometry Physics Letters B. ,vol. 71, pp. 321- 323 ,(1977) , 10.1016/0370-2693(77)90227-1
K. Sköld, C. A. Pelizzari, R. Kleb, G. E. Ostrowski, Neutron Scattering Study of Elementary Excitations in Liquid Helium-3 Physical Review Letters. ,vol. 37, pp. 842- 845 ,(1976) , 10.1103/PHYSREVLETT.37.842