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A certain approximation for the resonance interaction of particles at low energies

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Using equations proposed earlier [1] we obtain an approximate equation for the scattering amplitude at low energies. A connection is established between the scattering length and effective radius and the parameters characterizing the strong-interaction potential V(q2) for small values of transmitted momentum q2.

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Literature cited

  1. A. F. Grashin, Teor. i Matem. Fiz.,8, 73 (1971).

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  2. A. G. Sitenko and V. F. Kharchenko, Usp. Fiz. Nauk,103, 469 (1971).

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  3. J. Gammel and F. McDonald, Phys. Rev.,142, 1244 (1966).

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  4. M. L. Goldberger and K. M. Watson, Collision Theory, Wiley (1964).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 36–40, May, 1973.

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Andrusenko, N.P., Grashin, A.F. A certain approximation for the resonance interaction of particles at low energies. Soviet Physics Journal 16, 623–626 (1973). https://doi.org/10.1007/BF00898796

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  • DOI: https://doi.org/10.1007/BF00898796

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