Bose, A and Sinha, A and Tiwari, SS (2021) Selection rules for the S-Matrix bootstrap. In: SciPost Physics, 10 (5).
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Abstract
We examine the space of allowed S-matrices on the Adler zeros� plane using the recently resurrected (numerical) S-matrix bootstrap program for pion scattering. Two physical quantities, an averaged total scattering cross-section, and an averaged entanglement power for the boundary S-matrices, are studied. Emerging linearity in the leading Regge trajectory is correlated with a reduction in both these quantities. We identify two potentially viable regions where the S-matrices give decent agreement with low energy S- and P-wave scattering lengths and have leading Regge trajectory compatible with experiments. We also study the line of minimum averaged total cross section in the Adler zeros� plane. The Lovelace-Shapiro model, which was a precursor to modern string theory, is given by a straight line in the Adler zeros� plane and, quite remarkably, we find that this line intersects the space of allowed S-matrices near both these regions. Copyright A. Bose et al.
| Item Type: | Journal Article |
|---|---|
| Publication: | SciPost Physics |
| Publisher: | SciPost Foundation |
| Additional Information: | The copyright for this article belongs to SciPost Foundation |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 04 Aug 2021 10:42 |
| Last Modified: | 04 Aug 2021 10:42 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69020 |
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