nuclearmeltingpot by ab

Skyrme interaction Hamiltonian $h$ consist the one body part $h_0$ and the two-body interaction $v_{12}$ given by $$ h = h_0 + \sum_{particle\ pairs} v_{12} $$ where \begin{eqnarray*} v_{12} &=& t_0 (1 + x_0 P_\sigma)\,\delta (\vec r_1-\vec r_2) \\ &&- {1\over2} t_1 (1 +x_1 P_\sigma) \left [{\stackrel\leftarrow\nabla}_{12}^2 \,\delta (\vec r_1-\vec r_2) + \delta (\vec r_1-\vec r_2) {\stackrel\rightarrow\nabla}_{12}^2 \right ] \\ &&- t_2\,(1 + x_2 P_\sigma) {\stackrel\leftarrow\nabla}_{12} \, \delta (\vec r_1-\vec r_2){\stackrel\rightarrow\nabla}_{12} \\ &&+ {1\over6} t_3 (1 + x_3 P_\sigma ) \left [\rho_{q_1}(\vec r_1) + \rho_{q_2}(\vec r_2)\right ]^{\gamma} \delta (\vec r_1-\vec r_2) \\ &&- i \omega_0 {\stackrel\leftarrow\nabla} _{12} \wedge \delta (\vec r_1-\vec r_2) {\stackrel\rightarrow\nabla}_{12}\cdot(\vec\sigma_1 + \vec\sigma_2) + V_{Coul} \end{eqnarray*}

Files in this directory contain detailed results of Skyrme model calculations for selected 116 β stable nuclei in the framework of Hartree-Fock thory. The models are: ski, skii, skiii, skiv, skv, skvi, skvii, skM*, skA and skP. Parameters of Skyrme forces are collected in a table. All files shown below are of .pdf type.

Reference: A. Baran, Hartree-Fock-Skyrme model of β stable nuclei: http://kft.umcs.lublin.pl/baran/skyrme.html

• Binding energy errors: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• β deformations of neutron and proton densities: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Neutron separation energies S_n(MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Proton separation energies S_p(MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Errors in theoretical neutron separation energies S_n^th- S_n^exp (MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Errors in theoretical proton separation energies S_p^th- S_p^exp (MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Reduced transition probabilities B[E2] (e²b²): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Errors in theoretical reduced transition probabilities B[E2]: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Charge distruibution root mean square radii < r² >^1/2(fm): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Errors in calculated charge root mean square radii (fm) ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Binding energy per nucleon E/A(MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Reduced transition probabilities B[E2]. Theory vs. experiment: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Spin-orbit energy contribution to the total energy (MeV): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Neutron skin s_n=r_n-r_p (fm): ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Neutron halo factor f: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Collected RMS as calculated for S_n, S_p, E, r_c and B[E2]: ski, skii, skiii, skiv, skv, skvi, skvii, skA, skM*, skP.
• Global RMS values calculated for all considered Skyrme models RMS

The table of Skyrme forces, parameters and corresponding units displayed below consists the following data:

• force: t0, t1, t2, t3, x0, x1, x2, x3, γ, w
• units: MeV.fm3, MeV.fm5, MeV.fm5, MeV.fm3+3x, —, —, —, —, —, MeV.fm5

• ski: -1057.30, 235.90, -100.00, 14463.5, 0.560, 0, 0, 0, 1, 120.0
• skii: -1169.90, 585.60, -27.10, 9331.1, 0.340, 0, 0, 0, 1, 105.0
• skiii: -1128.75, 395.00, -95.00, 14000.0, 0.450, 0, 0, 1, 1, 120.0
• skiv: -1205.60, 765.00, 35.00, 5000.0, 0.050, 0, 0, 0, 1, 150.0
• skv: -1248.29, 970.56, 107.22, 0.0, -0.170, 0, 0, 0, 1, 150.0
• skv': -1248.29, 970.56, 107.22, 0.0, -0.170, 0, 0, 0, 1, 95.0
• skvi: -1101.81, 271.67, -138.33, 17000.0, 0.583, 0, 0, 0, 1, 115.0
• skvii: -1096.00, 246.20, -148.00, 17626.0, 0.620, 0, 0, 1, 1, 112.0
• ska: -1602.78, 570.88, -67.70, 8000.0, -0.020, 0, 0, -0.286, 1/3, 125.0
• skm: -2645.00, 385.00, -120.00, 15595.0, 0.090, 0, 0, 0, 1/6, 130.0
• skm*: -2645.00, 410.00, -135.00, 15595.0, 0.090, 0, 0, 0, 1/6, 130.0
• skp: -2931.70, 320.62, -337.41, 18708.97, 0.29215, 0.65318, -0.53732, 0.18103, 1/6, 100.0
• skLy5: -2483.45, 484.23, -556.69, 13757.00, 0.776, -0.317, -1.00, -1.263, 1/6, 125.0
• skLy7: -2480.80, 461.29, -433.93, 13669.00, 0.848, -0.492, -1.00, 1.393, 1/6, 125.0

• skiii, skiv, skv, skvi: M. Beiner, H. Flocard, Nguyen van Giai and P. Quentin, Nucl. Phys.,A238 (1975) 29.
• ski, skii: D. Vautherin, D. M. Brink, Phys. Rev.,C5 (1972) 626. D. Vautherin, Phys. Rev.,C7 (1973) 296.
• sv': B. Grammaticos, inNuclear self-consistent fields, ed. G.~Ripka and M.~Porneuf, North-Holland/American Elsevier, Amsterdam, 1975, p. 301; Int. Conf., Trieste, February 24-28, 1975.
• skvii: M. J. Giannoni and P. Quentin, Phys. Rev.C21 (1980) 2076.
• skm: H. Krivine, J. Treiner, O. Bohigas, Nucl. Phys.A366 (1980) 155.
• skm*: J. Bartel, P. Quentin, M. Brack, C. Guet and H.-B. H\o{a}kanson, Nucl. Phys.A386 (1982) 79.
• ska: S. Koehler,Nucl. Phys.A258 (1976) 301.
• skp: J. Dobaczewski, H. Flocard, J. Treiner, Nucl. Phys. A422 (1983) 103.
• SLy5, SLy7: S. Ćwiok, J. Dobaczewski, P.-H. Heenen, P. Magierski, W. Nazarewicz, II Warsztaty Fizyki Jadrowej, Kazimierz Dolny, 1995, Notes.