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Threshold effects and the line shape of the X(3872) in effective field theory

Schmidt, Marcel ; Jansen, M. ; Hammer, Hans-Werner (2022):
Threshold effects and the line shape of the X(3872) in effective field theory. (Publisher's Version)
In: Physical Review D, 98 (1), American Physical Society, ISSN 2470-0010, e-ISSN 2470-0029,
DOI: 10.26083/tuprints-00012796,
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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: Threshold effects and the line shape of the X(3872) in effective field theory
Language: English
Abstract:

Latest measurements suggest that the X(3872) mass lies less than 200 keV away from the D⁰D¯ ⁰* threshold, reenforcing its interpretation as a loosely bound mesonic molecule. This observation implies that in processes like D⁰D¯⁰ π⁰ production, threshold effects could disguise the actual pole position of the X(3872). We propose a new effective field theory with D⁰, D¯ ⁰, and π⁰ degrees of freedom for the X(3872), considering Galilean invariance to be an exact symmetry. The D⁰ enters as a D⁰π⁰ p-wave resonance, allowing for a comprehensive study of the influence of pion interactions on the Xð3872Þ width. We calculate relations between the mass of the X(3872), its width, and its line shape in D⁰D¯⁰ π⁰ production up to next-to-leading order. Our results provide a tool for the extraction of the X(3872) pole position from the experimental data near threshold.

Journal or Publication Title: Physical Review D
Volume of the journal: 98
Issue Number: 1
Publisher: American Physical Society
Collation: 19 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 11 Mar 2022 13:17
Last Modified: 11 Mar 2022 13:17
DOI: 10.26083/tuprints-00012796
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-127964
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12796
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