Nuclear Ground-State Properties from Mean-Field Calculations

Read Online or Download Nuclear Ground-State Properties from Mean-Field Calculations PDF

Similar nuclear books

Quantum Chromodynamics: Perturbative and Nonperturbative Aspects

Geared toward graduate scholars and researchers in theoretical physics, this ebook provides the trendy concept of sturdy interplay: quantum chromodynamics (QCD). The ebook exposes quite a few perturbative and nonperturbative ways to the idea, together with chiral powerful concept, the issues of anomalies, vacuum tunnel transitions, and the matter of divergence of the perturbative sequence.

Nuclear Weapons in the Changing World: Perspectives from Europe, Asia, and North America

Lawrence Freedman one of many significant bonuses of the cave in of communism in Europe is that it could by no means back be essential to input right into a sterile debate approximately if it is higher to be "red" or "dead. " This seemed because the final query within the nice nuclear debate of the early Eighties. whilst placed so starkly the reply seemed noticeable­ larger to reside and fight in a totalitarian method than to smash totalitarian and democratic structures alike.

Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering)

Scattering idea is a notoriously tricky sector in quantum mechanics. After having a look a number of classics, I borrowed a duplicate of this booklet, then out of print, and located instantly it used to be on the correct point. The exposition is usually to the purpose, by no means overloaded with aspect concerns or minor info, but very transparent and special, a excitement to learn.

Additional info for Nuclear Ground-State Properties from Mean-Field Calculations

Example text

It is obvious that the solution, nonsingular for r -»• 0 (t —>• — x), corresponds to a pendulum which at t -*• —oo is in the position of unstable equilibrium a = 0 (or = rnr). When t —> — oo, we have a(t) -+ 7r —»• jel. (33) When t -> +oo, we have a(t) -> ± | , and, owing to the presence of the damping, for any t we get \a(t)\ < it. , it decreases as 1/r. 7(r), and consequently for B (r). is characterized by four parameters: three parameters T^o* which define the reference point, and a parameter 7, which has the meaning of an inverse radius of the region beyond which B\ decreases.

For the sake of simplicity we assume that *i,2n=ai,2*M+0i,2«n. (60) Let us now return to the integration which was performed when we derived (46). Multiplying (46) by x\[ J a ^r8ix\-2a'{xyz')-\ and interchanging the integrations over a' and Q\ we get 1 x\ f a'do' fd/2' , . n . » ^Ti~7rra ^ ~ 1 TTT^ -T—C^ZvSmFSip^-zz), 2-rr Xi(pi — p2) a J (ai —a +5) J 4-n- ] = £= ffi-g' «i« n r/3i. S = a/32- "2-Qi Pi-Pi At the choice of e according to (60) we have sin F(x, z') = sin F(z, —. z'). N. vz'v=*2a piz^, (ai==a2~a), • - lit "02 f a'da'p!

E.. ae ~ >/e. Then a ~ e2 also decreases with large r. As / further increases, e (the binding energy) increases, and the expansion in powers of e deteriorates. However, the solution still exists. When / increases to rhe point where a second level with a small binding energy e appears, then, by repeating the above operations, we shall show that a second solution appears. We therefore get a degree of ambiguity equal to the number of eigenvalues of the operator • . Actually, owing to the fact that a(oc) can equal not only zero but mr as well (the pendulum can sail through the equilibrium position several times from different directions), the degree of ambiguity of the fields B{ is even larger.

Download PDF sample

Rated 4.18 of 5 – based on 23 votes