Production of possible <math altimg="si1.svg"><msub><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mi>c</mi></mrow></msub><msub><mrow><mover accent="true"><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub></math> molecular states in nucleon-antinucleon collision

Song, Lin-Qing; He, Jun

doi:10.1016/j.physletb.2025.139252

Production of possible $Σ_{c} {\bar{Σ}}_{c}$ molecular states in nucleon-antinucleon collision

Lin-Qing Song
(
- Nanjing Normal U. and
- Southeast U., Nanjing
)
,
Jun He
(
- Nanjing Normal U.
)

Jan 14, 2025

8 pages

Published in:

Phys.Lett.B 861 (2025) 139252

Published: Jan 14, 2025

DOI:

10.1016/j.physletb.2025.139252 (publication)

reference search0 citations

Citations per year

0 Citations

Abstract: (Elsevier B.V.)

In this study, we investigate the production of potential

Σ_{c} {\bar{Σ}}_{c}

molecular states in nucleon-antinucleon collisions using a quasipotential Bethe-Salpeter equation approach. Both isoscalar and isovector bound states with quantum numbers

J^{P C} = 0^{- +}

and

1^{- -}

are generated from the

Σ_{c} {\bar{Σ}}_{c}

interaction, which is modeled through the exchange of light mesons. The cross-section for the scattering process

p \bar{p} \to p \bar{p}

is calculated with annihilation effects taken into account, and the results are consistent with experimental data. However, no significant structures related to the

Σ_{c} {\bar{Σ}}_{c}

state are observed in this process. Using the parameters determined from this analysis, we also investigate the reaction

p \bar{p} \to Λ_{c} {\bar{Λ}}_{c}

, predicting a cross-section on the order of 10 pb with a dip near the

Σ_{c} {\bar{Σ}}_{c}

threshold. We present the poles of four molecular states, noting that the state

0 (1^{- -})

exhibits a width much larger than those of the other three states, albeit still very small. For the isoscalar bound state with quantum numbers

I (J^{P C}) = 0 (1^{- -})

, a clear dip is observed near the

Σ_{c} {\bar{Σ}}_{c}

threshold in the

Λ_{c} {\bar{Λ}}_{c}

channel, with a cross-section on the order of 1 pb. Although a dip is also identified in the

Λ_{c} {\bar{Λ}}_{c}

channel for the bound state with quantum numbers

I (J^{P C}) = 0 (0^{- +})

, it exhibits a very narrow width and a smaller cross-section, suggesting that highly precise experiments would be necessary to detect it. No significant structures are observed in the

N \bar{N}

final state for any of the four studied states. Based on these findings, we propose searching for the

Σ_{c} {\bar{Σ}}_{c}

molecular state with

I (J^{P C}) = 0 (1^{- -})

in the process

N \bar{N} \to Λ_{c} {\bar{Λ}}_{c}

, which is accessible at

\bar{P} ANDA

.

Molecular state
interaction
Nucleon-antinucleon collision
Quasipotential Bethe-Saltpeter equation

References(0)

Figures(0)

Loading ...

Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision

Citations per year

Production of possible $Σ_{c} {\bar{Σ}}_{c}$ molecular states in nucleon-antinucleon collision