Theoretical construction of light hexaquarks and their substantiation by seven-dimensional representation of SU(2) group

Authors

• MAYANK JOSHI, Department of Physics, D. S. B. Campus, Kumaun University, Nainital, Uttarakhand, IndiaFollow
• SHUCHI BISHT, Department of Physics, D. S. B. Campus, Kumaun University, Nainital, Uttarakhand, IndiaFollow
• NAVJOT HOTHI, Department of Physics, School of Engineering, University of Petroleum and Energy Studies, Dehradun, Uttarakhand, IndiaFollow
• MANISH BISHT, Department of Physics, D. S. B. Campus, Kumaun University, Nainital, Uttarakhand, IndiaFollow

Abstract

This manuscript presents a theoretical approach to constructing light hexaquarks using up and down quarks. These light exotic hexaquarks are shown to exhibit a seven-dimensional representation of the SU(2) isospin group. Additionally, the isospin septuplet is developed along with the quintet, triplet, and singlet representations for these light exotic hexaquarks. These particles are essentially mesonic in nature and also satisfy the requirements of the Kronecker product. Furthermore, the physical characteristics and weights of the respective states are intrinsically provided for these light hexaquarks.

Author ORCID Identifier

MAYANK JOSHI: 0009-0008-5001-7368

SHUCHI BISHT: 0009-0003-2599-3192

NAVJOT HOTHI: 0000-0001-7951-4212

MANISH BISHT: 0000-0001-8821-7439

DOI

10.55730/1300-0101.2948

Keywords

Tetraquarks, pentaquarks, hexaquarks, Casimir operator, SU(2) group, Lie algebra

First Page

397

Last Page

409

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

JOSHI, M, BISHT, S, HOTHI, N, & BISHT, M (2026). Theoretical construction of light hexaquarks and their substantiation by seven-dimensional representation of SU(2) group. Turkish Journal of Physics 50 (5): 397-409. https://doi.org/10.55730/1300-0101.2948