Toward the quark mass dependence of Tcc<SUP>+</SUP> from lattice QCD

Collins, Sara and Nefediev, Alexey and Padmanath, M. and Prelovsek, Sasa (2024) Toward the quark mass dependence of Tcc<SUP>+</SUP> from lattice QCD. PHYSICAL REVIEW D, 109 (9): 094509. ISSN 2470-0010, 2470-0029

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Abstract

The DD* scattering phase shifts in the T-cc(+) = cc (u) over bar(d) over bar channel are extracted from lattice QCD for five different charm quark masses and a fixed light-quark mass corresponding to m(pi) similar or equal to 280 MeV. The phase shifts are analyzed employing two approaches: effective range expansion and Lippmann-Schwinger equation derived in the effective field theory. In the latter case, the results imply an attraction at short range parametrized by contact terms and a slight repulsion at long range mediated by one-pion exchange with m(pi) > m(D*) - m(D). The poles in the amplitude across the complex energy plane are extracted and their trajectories are discussed as the charm quark mass is varied. Two complex conjugate poles corresponding to a resonance below threshold are found for m(c) close to the physical value. They turn into a pair of virtual states at the largest mc studied. With further increasing mc, one virtual pole representing T-cc(+) is expected to move towards the two-body threshold and turn into a bound state. The light-quark mass dependence of the T-cc(+) pole is briefly discussed using the data on DD* scattering from other lattice collaborations.

Item Type: Article
Uncontrolled Keywords: NUCLEON-SCATTERING; X(3872);
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Sep 2025 06:19
Last Modified: 08 Sep 2025 06:19
URI: https://pred.uni-regensburg.de/id/eprint/64358

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