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

In this study, we investigate the production of potential ΣcΣ¯c molecular states in nucleon-antinucleon collisions using a quasipotential Bethe-Salpeter equation approach. Both isoscalar and isovector bound states with quantum numbers JPC=0−+ and 1−− are generated from the ΣcΣ¯c interaction, which i...

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Main Authors: Lin-Qing Song, Jun He
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325000127
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author Lin-Qing Song
Jun He
author_facet Lin-Qing Song
Jun He
author_sort Lin-Qing Song
collection DOAJ
description In this study, we investigate the production of potential ΣcΣ¯c molecular states in nucleon-antinucleon collisions using a quasipotential Bethe-Salpeter equation approach. Both isoscalar and isovector bound states with quantum numbers JPC=0−+ and 1−− are generated from the ΣcΣ¯c interaction, which is modeled through the exchange of light mesons. The cross-section for the scattering process pp¯→pp¯ is calculated with annihilation effects taken into account, and the results are consistent with experimental data. However, no significant structures related to the ΣcΣ¯c state are observed in this process. Using the parameters determined from this analysis, we also investigate the reaction pp¯→ΛcΛ¯c, predicting a cross-section on the order of 10 pb with a dip near the ΣcΣ¯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(JPC)=0(1−−), a clear dip is observed near the ΣcΣ¯c threshold in the ΛcΛ¯c channel, with a cross-section on the order of 1 pb. Although a dip is also identified in the ΛcΛ¯c channel for the bound state with quantum numbers I(JPC)=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 NN¯ final state for any of the four studied states. Based on these findings, we propose searching for the ΣcΣ¯c molecular state with I(JPC)=0(1−−) in the process NN¯→ΛcΛ¯c, which is accessible at P¯ANDA.
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spelling doaj-art-a8d3cdaeb6154a019d9fcbd9cef6c41f2025-02-10T04:33:53ZengElsevierPhysics Letters B0370-26932025-02-01861139252Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collisionLin-Qing Song0Jun He1School of Physics and Technology, Nanjing Normal University, Nanjing 210097, People's Republic of China; School of Physics, Southeast University, Nanjing 210094, People's Republic of ChinaSchool of Physics and Technology, Nanjing Normal University, Nanjing 210097, People's Republic of China; Corresponding author.In this study, we investigate the production of potential ΣcΣ¯c molecular states in nucleon-antinucleon collisions using a quasipotential Bethe-Salpeter equation approach. Both isoscalar and isovector bound states with quantum numbers JPC=0−+ and 1−− are generated from the ΣcΣ¯c interaction, which is modeled through the exchange of light mesons. The cross-section for the scattering process pp¯→pp¯ is calculated with annihilation effects taken into account, and the results are consistent with experimental data. However, no significant structures related to the ΣcΣ¯c state are observed in this process. Using the parameters determined from this analysis, we also investigate the reaction pp¯→ΛcΛ¯c, predicting a cross-section on the order of 10 pb with a dip near the ΣcΣ¯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(JPC)=0(1−−), a clear dip is observed near the ΣcΣ¯c threshold in the ΛcΛ¯c channel, with a cross-section on the order of 1 pb. Although a dip is also identified in the ΛcΛ¯c channel for the bound state with quantum numbers I(JPC)=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 NN¯ final state for any of the four studied states. Based on these findings, we propose searching for the ΣcΣ¯c molecular state with I(JPC)=0(1−−) in the process NN¯→ΛcΛ¯c, which is accessible at P¯ANDA.http://www.sciencedirect.com/science/article/pii/S0370269325000127Molecular stateP¯ANDAΛcΛ¯c interactionNucleon-antinucleon collisionQuasipotential Bethe-Saltpeter equation
spellingShingle Lin-Qing Song
Jun He
Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
Physics Letters B
Molecular state
P¯ANDA
ΛcΛ¯c interaction
Nucleon-antinucleon collision
Quasipotential Bethe-Saltpeter equation
title Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
title_full Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
title_fullStr Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
title_full_unstemmed Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
title_short Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
title_sort production of possible σcσ¯c molecular states in nucleon antinucleon collision
topic Molecular state
P¯ANDA
ΛcΛ¯c interaction
Nucleon-antinucleon collision
Quasipotential Bethe-Saltpeter equation
url http://www.sciencedirect.com/science/article/pii/S0370269325000127
work_keys_str_mv AT linqingsong productionofpossiblescscmolecularstatesinnucleonantinucleoncollision
AT junhe productionofpossiblescscmolecularstatesinnucleonantinucleoncollision