Mass Spectra of Doubly Heavy Strange baryons $\Omega_{QQ^{'}}$ and their Decay properties

Deep within the heart of every atom lies a bustling world of subatomic particles, held together by the strongest force in nature. Among these particles are baryons, a family that includes the protons and neutrons making up our own bodies. While protons and neutrons are built from lighter, everyday quarks, physicists have long been fascinated by a rarer, heavier cousin: the doubly heavy baryon. Imagine a tiny, three-part structure where two of the parts are massive, slow-moving heavy quarks, and the third is a lighter, faster-moving partner. When this light partner happens to be a strange quark, the resulting particle is known as a doubly heavy strange baryon. These exotic objects are like cosmic laboratories, offering a unique way to test the rules of quantum mechanics and the strong force that binds the universe together. Although scientists have spotted one type of these heavy baryons in experiments, the specific varieties containing a strange quark have remained elusive, existing only in the realm of theory and computer simulations.

A team of researchers from India has now taken a closer look at these missing pieces of the puzzle. They focused on three specific types of these heavy particles: those made of two charm quarks and a strange quark, those with one charm and one bottom quark alongside a strange quark, and those with two bottom quarks and a strange quark. To understand them, the team used a sophisticated mathematical framework called the hypercentral constituent quark model. Think of this model as a highly detailed map that treats the three quarks inside the baryon not just as separate points, but as a unified system moving within a shared gravitational-like field. The researchers did not stop at a basic map; they added layers of complexity to account for the subtle interactions between the spins of the quarks and their masses, refining their calculations to include higher-order corrections that previous attempts often missed.

By running these refined calculations, the team generated a detailed catalog of masses for these particles, predicting what they would weigh in their most stable state and in various excited states. Their results suggest that the particle with two charm quarks and a strange quark should weigh approximately 3,692, while the version with one charm and one bottom quark should be around 7,077, and the heaviest, with two bottom quarks, should sit near 10,354. These numbers are not just guesses; they align closely with other major theoretical approaches, such as lattice quantum chromodynamics, which uses supercomputers to simulate the strong force from first principles. The researchers found that their method successfully resolved a long-standing issue where the predicted masses of different spin states did not follow the expected order, a problem that was fixed by including the specific spin-dependent interactions in their equations.

Beyond simply weighing these particles, the study explored how they would behave if they were to emit light. The team calculated the magnetic moments, which describe how the particles respond to magnetic fields, and the transition magnetic moments, which predict how easily a particle can jump from a higher energy state to a lower one by releasing a photon. For the doubly charm version, they predicted a magnetic moment of about 0.712 nuclear magnetons, a value that fits well within the range of other theoretical predictions. They also examined the "Regge trajectories," which are patterns showing how the mass of a particle relates to its spin and energy levels. The researchers found that their predicted masses fall neatly onto straight lines in these patterns, a sign that their theoretical model is consistent and reliable. This linearity helps scientists assign specific quantum labels to these particles, even before they are seen in a detector.

While these particles have not yet been observed in experiments, the work provides a crucial roadmap for future searches. The researchers acknowledge that their predictions are based on simulations and that the exact values might shift slightly as experimental data becomes available. However, by providing a comprehensive set of masses, magnetic properties, and decay patterns, they have given experimentalists at facilities like the Large Hadron Collider a clear target. When these elusive particles are finally discovered, scientists will be able to compare the real measurements against these detailed predictions to see if our understanding of the strong force holds up under the most extreme conditions. Until then, this study stands as a robust theoretical foundation, filling in the gaps of the baryon family tree and offering a clearer picture of the heavy, strange corners of the subatomic world.