تقرير
Solving relativistic three-body integral equations in the presence of bound states
| العنوان: | Solving relativistic three-body integral equations in the presence of bound states |
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| المؤلفون: | Jackura, Andrew W., Briceño, Raúl A., Dawid, Sebastian M., Islam, Md Habib E, McCarty, Connor |
| المصدر: | Phys. Rev. D 104, 014507 (2021) |
| سنة النشر: | 2020 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Phenomenology, Nuclear Theory |
| الوصف: | We present a systematically improvable method for numerically solving relativistic three-body integral equations for the partial-wave projected amplitudes. The method consists of a discretization procedure in momentum space, which approximates the continuum problem with a matrix equation. It is solved for different matrix sizes, and in the end, an extrapolation is employed to restore the continuum limit. Our technique is tested by solving a three-body problem of scalar particles with an $S$ wave two-body bound state. We discuss two methods of incorporating the pole contribution in the integral equations, both of them leading to agreement with previous results obtained using finite-volume spectra of the same theory. We provide an analytic and numerical estimate of the systematic errors. Although we focus on kinematics below the three-particle threshold, we provide numerical evidence that the methods presented allow for determination of amplitude above this threshold as well. Comment: 20 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.104.014507 |
| URL الوصول: | http://arxiv.org/abs/2010.09820 |
| رقم الأكسشن: | edsarx.2010.09820 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.104.014507 |
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