Reduced mass to bind hyper- and mesonuclei

In summary, there are various types of bound states of particles, such as the deuteron which has a reduced mass of under 470 MeV, and the paradeuteron which has a slightly weaker attraction and is only a virtual state. The Λ hyperon also has a weaker attraction to nucleons, and this is not enough to bind Λp or Λn. The Ω hyperon, which has a mass of 1672 MeV, has a reduced mass over 830 MeV for diomega, and its spin of 3/2 allows for various spin combinations with other identical particles. The strong force between two omegas is not strong enough to bind them against zero point motion. When hyperons have a
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A deuteron is a bound hexaquark. Since both triquarks have severally masses of about 940 MeV, the reduced mass of a deuteron is under 470 MeV.
Deuteron is bound... but only feebly. It has only one bound state: ground state orthodeuteron. All excited states of orthodeuteron are unbound.
Paradeuteron has slightly weaker attraction, which is enough for paradeuteron to be unbound and only a virtual state.
Ortho-dineutron and ortho-diproton ground states are banned by Pauli principle. Excited states are unbound for same reasons as orthodeuteron excited states - and para-diproton and para-dineutron unbound like paradeuteron.

Now, it seems that Λ hyperon attraction to nucleons or groups of nucleons is somewhat weaker than attraction of nucleons to each other. Although the reduced mass of a Λ-N nucleus would be in the order of 510 MeV, about 45 MeV bigger than the 470 MeV of deuteron, this is not enough to bind either Λp or Λn.

How is the case with heavier strange only hyperons? Ω has mass of 1672 MeV, so reduced mass over 830 MeV for diomega. And while all baryons are fermions restricted by Pauli principle, Ω has spin 3/2, not 1/2. What are the possible spin combinations of two otherwise indistinguishable particles of spin 3/2, and which of them stay allowed when they have other quantum numbers identical? How strong is the strong force between two omegas, and which states of diomega (if any) are bound against zero point motion?

When hyperons are not only strange, reduced mass grows further. Especially when charm minus beauty reaches 4 or more - because then it is not an option to expel a light baryon with neither. Even a feeble strong attraction could suffice to bind a nucleus with beauty of -6, because the baryons have rest mass over 17 GeV each.

Also, how much reduced mass do mesonuclei need?
Mesons have two quarks, not three. Meson-baryon and meson-meson strong attraction might thus be feebler than baryon-baryon strong force, and need higher reduced mass to overcome zero point motion.
But if both mesons are beautiful, would its huge reduced mass nevertheless suffice to create a bound mesonucleus?
 
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How strong is the attraction between two beautiful mesons, and which states of such mesonucleus (if any) are bound against zero point motion?
 

1. What is reduced mass to bind hyper- and mesonuclei?

The reduced mass to bind hyper- and mesonuclei is a measure of the effective mass of a bound system consisting of a hypernucleus (a nucleus containing one or more hyperons) and a meson (a subatomic particle). It takes into account the masses of both the hypernucleus and the meson, as well as their relative motion within the system.

2. How is reduced mass to bind hyper- and mesonuclei calculated?

The reduced mass to bind hyper- and mesonuclei is calculated using the formula μ = m1m2 / (m1 + m2), where m1 and m2 are the masses of the two particles in the system. This formula is derived from the more general formula for reduced mass, which is commonly used in calculating the motion of two objects in a gravitational field.

3. Why is reduced mass to bind hyper- and mesonuclei important in nuclear physics?

The reduced mass to bind hyper- and mesonuclei is important in nuclear physics because it helps us understand the binding energy and stability of these exotic nuclear systems. By considering the reduced mass, we can better understand the forces that hold these particles together and the properties of the resulting nuclei.

4. How does reduced mass to bind hyper- and mesonuclei differ from reduced mass in other systems?

The concept of reduced mass is commonly used in various fields of physics, but the reduced mass to bind hyper- and mesonuclei is unique in that it takes into account the masses of both a hypernucleus and a meson. In other systems, such as the motion of two objects in space, the reduced mass only considers the masses of the two objects involved.

5. What are the applications of reduced mass to bind hyper- and mesonuclei?

The reduced mass to bind hyper- and mesonuclei has several applications in nuclear physics, including the study of exotic nuclear systems and the prediction of their properties. It can also be used to calculate the energy required to break apart these systems, which is important for understanding their stability and potential applications in fields such as nuclear energy and astrophysics.

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