Charmed nuclei within a microscopic many-body approach

Abstract

Single-particle energies of the Λc chamed baryon are obtained in several nuclei from the relevant self-energy constructed within the framework of a perturbative many-body approach. Results are presented for a charmed baryon-nucleon (YcN ) potential based on a SU(4) extension of the mesonexchange hyperon-nucleon potentialà of the Jülich group. Three different models (A, B and C) of this interaction, that differ only on the values of the couplings of the scalar σ meson with the charmed baryons, are considered. Phase shifts, scattering lengths and effective ranges are computed for the three models and compared with those predicted by the YcN interaction derived in Eur. Phys. A 54, 199 (2018) from the extrapolation to the physical pion mass of recent results of the HAL QCD Collaboration. Qualitative agreement is found for two of the models (B and C) considered. Our results for Λc-nuclei are compatible with those obtained by other authors based on different models and methods. We find a small spin-orbit splitting of the p−, d− and f −wave states as in the case of single Λ-hypernuclei. The level spacing of Λc single-particle energies is found to be smaller than that of the corresponding one for hypernuclei. The role of the Coulomb potential and the effect of the coupling of the ΛcN and ΣcN channels on the single-particle properties of Λc−nuclei are also analyzed. Our results show that, despite the Coulomb repulsion between the Λc and the protons, even the less attractive one of our YcN models (model C) is able to bind the Λc in all the nuclei considered. The effect of the ΛcN − ΣcN coupling is found to be almost negligible due to the large mass difference of the Λc and Σc baryons.

Charmed baryon–nucleon interaction

“…[28] and the hadronic or hybrid descriptions of Refs. [26,27,30,32]. However, the tensor effects arising from the pseudoscalar or vector meson exchanges become important at hadronic level 3 , while they are negligible in the QDCSM study of Ref.…”

“…Recently, Ref. [32] has presented a charmed baryon−nucleon potential based on a SU (4) extension of the meson-exchange hyperon-nucleon potentialà of the Jülich group [41]. Three different models of the interaction were considered, which differ only on the values of the couplings of the scalar σ meson with the charmed baryons.…”

“…[30] based on one-boson exchange potentials supplemented by a global short-range repulsion of quark origin; and the recent charmed baryon−nucleon potential based on a SU(4) extension of the mesonexchange hyperon-nucleon potentialà of the Jülich group [41] of Ref. [32]. We will also consider the recent lattice QCD simulations of the Y c N interactions by the HAL QCD Collaboration [42][43][44][45].…”

Femtoscopic correlations and the $$\varLambda _c N$$ interaction

“…Indeed, the understanding of the flavor dependence of hadron-hadron forces is a key element in the study of charmed dibaryons [3] and exotic hadronic molecules [4]. The lack of knowledge on the Y c N interaction also hinders progress in the long-standing a e-mail: j.haidenbauer@fz-juelich.de (corresponding author) issue regarding the existence of charmed nuclei [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]-for recent reviews see [23][24][25]. These are nuclei containing a Y c hyperon, similar to the more familiar hypernuclei which are formed with a strange baryon, Λ and/or Σ (Y ).…”

Spin-isospin Kondo effects for Σc and Σc* baryons and D¯Yasui1, Miyamoto2 2019Phys. Rev. C20070View full textAdd to dashboardCite

“…We notice that a c baryon is not relevant to the Kondo effect in contrast to the c ( * c ) baryon, because the light diquark (qq) in the c baryon has spin 0 and isospin 0, and there is no exchange interaction of spin and isospin between the baryon and a nucleon, as it was analyzed in Ref. [67] (see also the recent work [68,69]). 2 Bottom hadrons, which are in general heavier than charm hadrons, could be more suitable for studying the Kondo effect; however, we will not repeat the same discussion for the bottom hadrons.…”