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Chapter 8: Q5CQ (page 338)

The neutron comprises multiple charged quarks. Can a particle that is electrically neutral but really composed of charged constituents have a magnetic dipole moment? Explain your answer.

Short Answer

Expert verified

Yes, an electrically neutral particle composed of charged constituents has a magnetic dipole moment.

Step by step solution

01

Explanation.

Each proton and each neutron contain three quarks. A quark is a fast-moving point of energy. There are several varieties of quarks. Protons and neutrons are composed of two types: up quarks and down quarks.

For instance, the net charge of the counter circulating oppositely charged particle is zero, but they constituent a current. Thus, individual charged particles could have charges added to zero.

02

Due to the spin.

The combinations of the different spins forming their total spin do not add to zero. Due to this spin, charged particles constitute magnetic dipole moments.

Conclusion: Yes, an electrically neutral particle composed of charged constituents has a magnetic dipole moment.

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Most popular questions from this chapter

Angular momenta J1and J2interact so that they obey the strict quantum mechanical rules for angular momentum addition. If J1=1and J2=32what angles between J1and J2 allowed?

Slater Determinant: A convenient and compact way of expressing multi-particle states of anti-symmetric character for many fermions is the Slater determinant:

|ψn1x1m31ψn2x1m32ψn3x1m33···ψnNx1msNψn1x2m11ψn2x2m32ψn3x2m33···ψψn1x2msNψn3x3m31ψn2x3m12ψn3x3m33ψnNx3msN···············ψn1xNm11ψn2xNm32ψn3xNm33···ψnNxNmsN|

It is based on the fact that for N fermions there must be Ndifferent individual-particle states, or sets of quantum numbers. The ith state has spatial quantum numbers (which might be ni,ℓi, and mfi) represented simply byni and spin quantum number msi. Were it occupied by the ith particle, the slate would beψni(xj)msi a column corresponds to a given state and a row to a given particle. For instance, the first column corresponds to individual particle state ψn(xj)ms1. Where jprogresses (through the rows) from particle 1 to particle N. The first row corresponds to particle I. which successively occupies all individual-particle states (progressing through the columns). (a) What property of determinants ensures that the multiparticle state is 0 if any two individual particle states are identical? (b) What property of determinants ensures that switching the labels on any two particles switches the sign of the multiparticle state?

Question: Concisely, why is the table periodic?

Using a beam of electrons accelerated in an X-ray tube, we wish to knock an electron out of the shell of given element in a target. Section \(7.8\) gives the energies in a hydrogen like atom as . Z2(-13.6eV/n2)Assume that for fairly high Z , aK-shell electron can be treated as orbiting the nucleus alone.

(a) A typical accelerating potential in an X-ray tube is50kV . In roughly how high aZcould a hole in the K -shell be produced?

(b) Could a hole be produced in elements of higher Z?

What is the angle between the spins in a triplet state?

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