2022
DOI: 10.48550/arxiv.2204.13316
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$Σ_cΣ_c$ interactions in chiral effective field theory

Abstract: We study the interactions of the ΣcΣc system in the framework of chiral effective theory. We consider the contact, one-pion and two-pion exchange interactions and bridge the low energy constants of the ΣcΣc system to those of the Σ ( * ) c D( * ) systems through the quark-level ansatz for the contact interaction. We explore the influence of intermediate channels in the two-pion exchange diagrams of the ΣcΣc system. We obtain a deep bound state [ΣcΣc] I=0 J=0 and a shallow bound state [ΣcΣc] I=1 J=1 . As a bypr… Show more

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Cited by 3 publications
(3 citation statements)
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“…Firstly, we focus on the detailed potential V BC→BC for the Swave D * N interaction, and we employ the chiral effective field theory, which is a powerful instrument to study the hadronhadron interaction [45,[87][88][89][90][91][92][93][94][95]. In the heavy flavor hadron systems, the application of the chiral effective field theory has led to some achievements for predicting the bound states of B( * ) B( * ) , DD * , D D * , Σ c D( * ) , and so on [45,[96][97][98][99][100][101][102][103][104][105]. With the experience in these works, the D * N interaction can also be studied within the chiral effective field theory.…”
Section: A D * N Interactionmentioning
confidence: 99%
“…Firstly, we focus on the detailed potential V BC→BC for the Swave D * N interaction, and we employ the chiral effective field theory, which is a powerful instrument to study the hadronhadron interaction [45,[87][88][89][90][91][92][93][94][95]. In the heavy flavor hadron systems, the application of the chiral effective field theory has led to some achievements for predicting the bound states of B( * ) B( * ) , DD * , D D * , Σ c D( * ) , and so on [45,[96][97][98][99][100][101][102][103][104][105]. With the experience in these works, the D * N interaction can also be studied within the chiral effective field theory.…”
Section: A D * N Interactionmentioning
confidence: 99%
“…Similar to the HBChPT formalism in the light flavor meson-baryon and baryon-baryon interaction, we can use heavy meson chiral perturbation theory (HMChPT) to deal with the charmed mesons [32]. This framework can also be extended to the heavy flavor hadron interactions and the new hadron states [33][34][35][36](for a review of heavy hadron systems in ChPT, see ref. [37]).…”
Section: Introductionmentioning
confidence: 99%
“…In the molecule picture, the double-charm dibaryon could be easier to form a bound state due to the larger reduced mass. And in fact, the double-heavy hexaquark (qqqqQQ) systems have been discussed in various approaches [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54], including the chiral constituent quark model [36,37], the quark delocalization color screening model [38,39], the chromomagnetic model [40], the QCD sum rules [41], the chiral effective field theory (EFT) [42,43], and the oneboson-exchange (OBE) model [44][45][46][47][48][49][50]. For the Λ c Σ c molecule system, the authors of Ref.…”
Section: Introductionmentioning
confidence: 99%