On the connection between theS-matrix and a class of non-local interactions — I

Kh. Chadan

doi:10.1007/bf02859544

journal article Dec 01, 1958

On the connection between theS-matrix and a class of non-local interactions — I

Kh. Chadan

Il Nuovo Cimento Vol. 10 No. 5 pp. 892-908 · Springer Science and Business Media LLC

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References

13

[1]

M. Gourdin andA. Martin:Nuovo Cimento,6, 757 (1957). 10.1007/bf02745806

[2]

M. Gourdin andA. Martin:Nuovo Cimento,8, 699 (1958). 10.1007/bf02815249

[3]

The case of tensor forces will be considered in a next paper. See alsoC.R.A.S.,245, 1597 (1957).

[4]

A preliminary report of this work has already been published inC.R.A.S.,246, 1513 (1958).

[5]

R. Jost andW. Kohn:Dans. Mat. Fys. Med.,27, 9 (1953).

[6]

R. Newton andT. Fulton:Phys. Rev.,107, 1103 (1957). 10.1103/physrev.107.1103

[7]

These conditions are obtained by considerations quite analogous to those of the begining of (1). Recall thatU(r) =ru(r). 10.1007/bf02745806

[8]

N. Levinson:Dans. Mat. Fys. Med.,25, 9 (1949).

[9]

A. Martin:Nuovo Cimento,7, 607 (1958). 10.1007/bf02781566

[10]

R. Omnès:Nuovo Cimento,8, 316 (1958), equation (2.1). 10.1007/bf02747746

[11]

To avoid confusion, we use the notationsη andλ(x) instead ofδ andf(x) used by Omnès.

[12]

We suppose thatδ u v is chosen so thatδ u v (∞) = 0.

[13]

Strictly speaking, there are some indications in favour of separable interactions. See, for example,Lévy’s repulsive core:M. M. Lévy:Phys. Rev.,88, 725 (1952). Also the footnote (6) ofY. Yamaguchi’s paper:Phys. Rev.,95, 1628 (1954). 10.1103/physrev.88.725

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13

References

Details

Published: Dec 01, 1958
Vol/Issue: 10(5)
Pages: 892-908
License: View

Authors

K

Kh. Chadan

Cite This Article

Kh. Chadan (1958). On the connection between theS-matrix and a class of non-local interactions — I. Il Nuovo Cimento, 10(5), 892-908. https://doi.org/10.1007/bf02859544

On the connection between theS-matrix and a class of non-local interactions — I

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