Absolute determination of zero-energy eigenphase shifts: Applications to n-p, n-d, and p-d scattering

Physical Review C - Nuclear Physics

Volumn 58, Issue 3, 1998, Pages 1385-1392

  Rosenberg, Leonard ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

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EID: 0032381348     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/physrevc.58.1385     Document Type: Article

References (26)

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14. Z. R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. Lett. 54, 1602 (1985). A different conclusion (with which I disagree) was reached by P. Swan, Nucl. Phys. 46, 669 (1963). The half-bound-state phenomenon is associated with zero-energy bound states that are not normalizable; the zero-energy bound-state functions decay exponentially in the repulsive Coulomb case.
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18. It was shown in Ref. [15] that for the n-p system, the coefficient m is, in good approximation, proportional to the quadrupole moment of the deuteron.
19. This conclusion confirms that obtained in Ref. [4] in the context of an independent-particle model of the scattering process.
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21. As an indication that these nodal properties are not trivially satisfied, we remark that if the doublet spin function antisymmetric in the spins of particle 2 and 3 were used in place of the symmetric function, then F(q) would develop a node. However, use of the antisymmetric doublet function would violate the boundary condition on the scattering wave function at infinity.
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23. An alternative derivation of Eq. (5.7) may be based on a representation of the resolvent operator as a sum of kernels of finite rank with coefficients determined variationally.
24. The procedure of Ref. [8], starting with Eq. (14) of that paper, is not sufficiently precise and we here modify the argument appropriately.
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