---

Prog. Theor. Phys. Vol. 48 No. 5 (1972) pp. 1674-1682

Explicit Sum of Strongly Absorbed One-Particle Exchanges with Spin J from 1 to ∞

R. L. Ingraham

Research Center, New Mexico State University, Las Cruces, New Mexico 88003

(Received May 2, 1972)

Abstract:

One-particle exchanges of spin J, strongly absorbed by suppressing low partial waves, are explicitly summed from J = 1 to ∞ by the Sommerfeld-Watson method. In the resulting high energy elastic (nondiffractive) amplitude, f ∝ s^α-1/2 \hatJ₀(R√-t), the presence of the Bessel-like function of momentum transfer is wholly due to the absorption. A linear mass trajectory and vanishing widths for the exchanged boson resonances are preferred.

URL : http://ptp.ipap.jp/link?PTP/48/1674/
DOI : 10.1143/PTP.48.1674

[ Full Text PDF : FREE ACCESS (721K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. H. Harari and A. Schwimmer, SLAC-PUB-952.
2. R. Shtokhammer, G. Berlad and G. Eilam, Phys. Rev. Lett. 27 (1971), 625[APS].
3. R. L. Ingraham, Phys. Rev. D 6 (1972), 329[APS].
4. L. Durand, Phys. Rev. 161 (1967), 1610[APS].
   L. van Hove, Phys. Lett. B 24 (1967), 183[CrossRef].
5. K. Gottfried and J. D. Jackson, Nuovo Cim. 34 (1964), 735.
   A. Dar, M. Kugler, Y. Dothan and S. Nussinov, Phys. Rev. Lett. 12 (1964), 82[APS].
6. A. Dar and W. Tobocman, Phys. Rev. Lett. 12 (1964), 511[APS].
7. J. D. Jackson, Rev. Mod. Phys. 42 (1970), 12[APS]. (§4)
8. W. Magnus and F. Oberhettinger, Functions of Mathematical Physics (Chelsea Publishing Co., New York, 1954), Chap. III, p. 1.
9. H. Harari, Phys. Rev. Lett. 26 (1971), 1079[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 249-261 :

   Covariant Propagators and Vertices for Higher Spin Bosons

   R. L. Ingraham

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.