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Pion Scattering Lengths
Abstract
The current commutation ${\mathrm{relations}}^{1}$ and partially conserved axial-vector current (PCAC) ${\mathrm{assumption}}^{2,3}$ allow the calculation of the matrix elements for emission and absorption of any number of soft ${\mathrm{pions}}^{4}$ and, therefore, in particular, determine the scattering length of a pion on any target particle. In this note we give a simple formula for pion scattering on any particle but a ${\mathrm{pion}}^{5}$, and then extend this result to the more difficult case of pion-pion scattering.
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Citations
Cited by
Gasser, J., Sainio, M. E., & Švarc, A. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90108-3 · Cited by 874
Two-nucleon systems from effective field theory
Kaplan, D. B., Savage, M. J., & Wise, M. B. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00440-4 · Cited by 668
Aoki, Y., Blum, T., Colangelo, G., Collins, S., Morte, M. D., Dimopoulos, P., Dürr, S., Feng, X., Fukaya, H., Golterman, M., et al. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10536-1 · Cited by 587
Chiral Symmetry and the BAG Model: A New Starting Point for Nuclear Physics
Thomas, A. W. (1984) · Advances in Nuclear Physics · doi:10.1007/978-1-4613-9892-9_1 · Cited by 414
Recent developments in chiral perturbation theory
Meissner, U. G. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/8/001 · Cited by 285
Metadata
- Authors
- Weinberg, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1966-09-12
- Volume
- 17
- Issue
- 11
- Pages
- 616-621
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2054086911
- Cited by
- 1,739
- References
- 0
- FWCI
- 71.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- Weinberg, S. (1966). Pion Scattering Lengths. Physical Review Letters. https://doi.org/10.1103/physrevlett.17.616
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