共查询到20条相似文献,搜索用时 31 毫秒
1.
L. Ma H. F. Zhang X. H. Zhou Z. G. Gan J. Q. Li W. Scheid 《The European Physical Journal A - Hadrons and Nuclei》2010,46(3):403-411
The ground-state properties of Hs nuclei are studied in the framework of the relativistic mean-field theory. We find that
the more relatively stable isotopes are located on the proton abundant side of the isotopic chain. The last stable nucleus
near the proton drip line is probably the 255Hs nucleus. The a \alpha -decay half-lives of Hs nuclei are predicted, and together with the evaluation of the spontaneous-fission half-lives it is
shown that the nuclei, which are possibly stable against spontaneous fission are 263-274Hs . This is in coincidence with the larger binding energies per nucleon. If 271-274Hs can be synthesized and identified, only those nuclei from the upper Z = 118 isotopic chain, which are lighter than the nucleus 294118 , and those nuclei in the corresponding a \alpha -decay chain lead to Hs nuclei. The most stable unknown Hs nucleus is 268Hs . The density-dependent delta interaction pairing is used to improve the BCS pairing correction, which results in more
reasonable single-particle energy level distributions and nucleon occupation probabilities. It is shown that the properties
of nuclei in the superheavy region can be described with this interaction. 相似文献
2.
S. M. M. Coelho C. Zander H. G. Miller 《The European Physical Journal A - Hadrons and Nuclei》2010,44(2):257-260
A simple expression is obtained for the low-temperature behaviour of the energy and entropy of finite nuclei for 20 £ \leq
A
£ \leq 250 . The dependence on A of these quantities is for the most part due to the presence of the asymmetry energy. 相似文献
3.
Consider a family of infinite tri-diagonal matrices of the form L + zB, where the matrix L is diagonal with entries L
kk
= k
2, and the matrix B is off-diagonal, with nonzero entries B
k,k+1 = B
k+1,k
= k
α
, 0 ≤ α < 2. The spectrum of L + zB is discrete. For small |z| the nth eigenvalue E
n
(z), E
n
(0) = n
2, is a well-defined analytic function. Let R
n
be the convergence radius of its Taylor’s series about z = 0. It is proved that
Rn £ C(a) n2-a \textif\enspace 0 £ a < 11 /6R_n \leq C(\alpha) n^{2-\alpha}\quad \text{if}\enspace 0 \leq \alpha <11 /6 相似文献
4.
5.
L. Qu Z. Wang B. Li 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》1999,5(2):173-177
The nonrelativistic dipole-length, -velocity and -acceleration absorption oscillator strengths for the 1s22s-1s2np (3 £ n £ 9)(3\leq n\leq 9) transitions of the lithium isoelectronic sequence up to Z=10 are calculated by using the energies and the multiconfiguration interaction wave functions obtained from a full core plus correlation (FCPC) method. In most cases, the agreement between the f-values from the length and velocity formulae is up to forth or fifth digit. Combining these discrete oscillator strengths with the single channel quantum defect theory (QDT), the discrete oscillator strengths for the transitions from the 1s22s state to highly excited levels (n 3 10n \geq 10) and the oscillator strength densities corresponding to the bound-free transitions are obtained. 相似文献
6.
In appropriate units, the Brown-Ravenhall Hamiltonian for a system of 1 electron relativistic molecules with K fixed nuclei having charge and position Zk, Rk, k=1,2, ?,Kk=1,2, \ldots,K, is of the form \bB1,K = L+ ( D0 + aVc) L+ \bB_{1,K}= \Lambda_+ \bigl( D_0 + \alpha V_c\bigr) \Lambda_+ , where v+ is the projection onto the positive spectral subspace of the free Dirac operator D0 and Vc = - ?k=1K \fracaZk\lmod \bx-Rk \rmod + ?k < l, k,l=1K \fracaZk Zl\lmod Rk-Rl \rmod V_c= - \sum_{k=1}^K \frac{\alpha Z_k}{\lmod \bx-R_k \rmod} + \sum_{k
7.
X. J. Liu X. P. Zhang D. D. Ni Z. Z. Ren 《The European Physical Journal A - Hadrons and Nuclei》2011,47(6):78
Benford’s law, also called the first-digit law, states that in lists of numbers from many quite disparate databases, the leading
digit is distributed in a non-uniform but actually logarithmic way. We have investigated the first-digit distribution of experimental
cross-sections of A(n,a \alpha)B reactions. In the case of below-barrier a \alpha -particle emission from compound nucleus, it is found that the (n,a \alpha) reaction cross-sections approximately follow the first-digit distribution indicated by Benford’s law. The origin of this
first-digit distribution is discussed within the framework of the statistical model. In addition, Benford’s law is used to
test the evaluated cross-sections of A(n,a \alpha)B reactions. 相似文献
8.
A. M. Frolov 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2011,61(3):571-577
The semi-exponential basis set of radial functions [A.M. Frolov, Phys.
Lett. A 374, 2361 (2010)] is used for variational computations of
bound states in three-electron atomic systems. It appears that the
semi-exponential basis set has a substantially greater potential for
accurate variational computations of bound states in three-electron atomic
systems than was originally anticipated. In particular, the 40-term
Larson’s wave function improved with the use of semi-exponential radial
basis functions now produces the total energy –7.4780581457
a.u. for the ground 12S-state in the ¥Li^\infty{\rm Li} atom (only one
spin function c1\chi_1 = aba\alpha\beta\alpha - baa\beta\alpha\alpha was used
in these calculations). This variational energy is very close to the exact
ground state energy of the ¥Li^\infty{\rm Li} atom and is substantially lower
than the total energy obtained with the original Larson’s 40-term wave
function (–7.477944869 a.u.). 相似文献
9.
The effective resistance or two-point resistance between two nodes of a resistor network is the potential difference that
appears across them when a unit current source is applied between the nodes as terminals. This concept arises in problems
which deal with graphs as electrical networks including random walks, distributed detection and estimation, sensor networks,
distributed clock synchronization, collaborative filtering, clustering algorithms and etc. In the previous paper (Jafarizadeh
et al. in J. Math. Phys. 50:023302, 2009) a recursive formula for evaluation of effective resistances on the so-called distance-regular networks was given based on
the Christoffel-Darboux identity. In this paper, we consider more general networks called pseudo-distance-regular networks
or QD type networks, where we use the stratification of these networks and show that the effective resistances between a given
node, say α, and all of the nodes β belonging to the same stratum with respect to α, are the same. Then, based on the spectral techniques, for those α,β’s which satisfy
L-1aa=L-1bbL^{-1}_{\alpha\alpha}=L^{-1}_{\beta\beta}
(L
−1 is the pseudo-inverse of the Laplacian of the network), an analytical formula for effective resistances
Rab(m)R_{\alpha\beta^{(m)}}
(the equivalent resistance between terminals α and β, so that β belongs to the m-th stratum with respect to α) is given in terms of the first and second orthogonal polynomials associated with the network. From the fact that in distance-regular
networks,
L-1aa=L-1bbL^{-1}_{\alpha\alpha}=L^{-1}_{\beta\beta}
is satisfied for all nodes α,β of the network, the effective resistances
Rab(m)R_{\alpha\beta^{(m)}}
for m=1,2,…,d (d is diameter of the network which is the same as the number of strata) are calculated directly, by using the given formula. 相似文献
10.
A.?Sibirtsev S.?Krewald U.?-G.?Mei?ner 《The European Physical Journal A - Hadrons and Nuclei》2010,46(3):359-371
Recent data on h \eta -meson photoproduction off a proton target in the energy range 2£ \le
?{s} \sqrt{{s}}
£ \le3 GeV are analyzed with regard to their overall consistency. Results from the ELSA and CLAS measurements are compared with
predictions of a Regge model whose reaction amplitude was fixed via a global fit to pre-2000 measurements of differential
cross sections and polarization observables for g \gamma
p
? \rightarrow
h \eta
p at higher energies. We find that all recent experimental results on differential cross sections for h \eta -meson photoproduction are in good agreement with each other, except for the CLAS data from 2009. However, the latter can
be made consistent with the other data at the expense of introducing an energy-dependent renormalization factor. We point
out that there are indications in the data for a possible excitation of baryon resonances with masses around 2.1 and 2.4GeV. 相似文献
11.
We show that the residual entropy, S, for the two-dimensional Blume-Emery-Griffiths model at the antiquadrupolar-ferromagnetic coexistence line satisfies the
following bounds ln(l1,2n,+/l1,2n-1,+) £ S £ (lnl1,k,free)/k\ln(\lambda_{1,2n,+}/\lambda_{1,2n-1,+})\leq S\leq (\ln \lambda_{1,k,\mathit{free}})/k, for all n≥2 and k≥1, where λ
1,n,free
and λ
1,n,+ are the largest eigenvalues of the transfer matrices F
n,free
and F
n,+, respectively. In particular, we have S=0.439396±0.008670. 相似文献
12.
In this paper, we are interested in the asymptotic properties for the largest eigenvalue of the Hermitian random matrix ensemble,
called the Generalized Cauchy ensemble GCyE, whose eigenvalues PDF is given by
|