Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D *
Abstract We perform a detailed comparison between three formalisms used in recent studies of DD * scattering at heavier-than-physical pion masses, which aim to understand the properties of the doubly-charmed tetraquark, T cc + 3875 $$ {T}_{cc}^{+}(3875) $$ . These methods are the three-particle rela...
| Published in: | Journal of High Energy Physics |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-09-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2025)058 |
| _version_ | 1848760428444778496 |
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| author | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe |
| author_facet | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe |
| author_sort | Sebastian M. Dawid |
| collection | DOAJ |
| container_title | Journal of High Energy Physics |
| description | Abstract We perform a detailed comparison between three formalisms used in recent studies of DD * scattering at heavier-than-physical pion masses, which aim to understand the properties of the doubly-charmed tetraquark, T cc + 3875 $$ {T}_{cc}^{+}(3875) $$ . These methods are the three-particle relativistic field theory (RFT) formalism, the two-body Lippmann-Schwinger (LS) equation with chiral effective field theory potentials, and the two-particle relativistic framework proposed by Baião Raposo and Hansen (BRH approach). In a simplified single-channel setting, we derive the conditions under which the infinite-volume integral equations from the RFT and BRH approaches reduce to the LS form. We present numerical examples showing that differences between these methods can be largely removed by adjusting short-range couplings. We also address a number of technical issues in the RFT approach. |
| format | Article |
| id | doaj-art-c5b01c6722ca44c8a0af98eba69bda82 |
| institution | Directory of Open Access Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| spelling | doaj-art-c5b01c6722ca44c8a0af98eba69bda822025-10-12T11:08:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-09-012025913710.1007/JHEP09(2025)058Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D *Sebastian M. Dawid0Fernando Romero-López1Stephen R. Sharpe2Physics Department, University of WashingtonAlbert Einstein Center, Institute for Theoretical Physics, University of BernPhysics Department, University of WashingtonAbstract We perform a detailed comparison between three formalisms used in recent studies of DD * scattering at heavier-than-physical pion masses, which aim to understand the properties of the doubly-charmed tetraquark, T cc + 3875 $$ {T}_{cc}^{+}(3875) $$ . These methods are the three-particle relativistic field theory (RFT) formalism, the two-body Lippmann-Schwinger (LS) equation with chiral effective field theory potentials, and the two-particle relativistic framework proposed by Baião Raposo and Hansen (BRH approach). In a simplified single-channel setting, we derive the conditions under which the infinite-volume integral equations from the RFT and BRH approaches reduce to the LS form. We present numerical examples showing that differences between these methods can be largely removed by adjusting short-range couplings. We also address a number of technical issues in the RFT approach.https://doi.org/10.1007/JHEP09(2025)058Hadronic SpectroscopyStructure and InteractionsSpecific QCD PhenomenologyProperties of Hadrons |
| spellingShingle | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * Hadronic Spectroscopy Structure and Interactions Specific QCD Phenomenology Properties of Hadrons |
| title | Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * |
| title_full | Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * |
| title_fullStr | Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * |
| title_full_unstemmed | Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * |
| title_short | Comparison of integral equations used to study T cc + $$ {T}_{cc}^{+} $$ for a stable D * |
| title_sort | comparison of integral equations used to study t cc t cc for a stable d |
| topic | Hadronic Spectroscopy Structure and Interactions Specific QCD Phenomenology Properties of Hadrons |
| url | https://doi.org/10.1007/JHEP09(2025)058 |
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