Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates

A model describing coherent quantum tunneling between two trapped Bose-Einstein condensates is shown to admit an exact solution. The spectrum is obtained by the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations leads us to explicit expressions for the energies of the ground and first excited states in the limit of {\it weak} tunneling and all energies for {\it strong} tunneling. The results are used to extract the asymptotic limits of the quantum fluctuations of the boson number difference between the two Bose-Einstein condensates and to characterize the degree of coherence in the system.Comment: 5 pages, RevTex, No figure

Total Nuclear Reaction Cross Section Induced by Halo Nuclei and Stable Nuclei

We develop the method for the calculation of the total reaction cross sections induced by the halo nuclei and stable nuclei. This approach is based on the Glauber theory, which is valid for nuclear reactions at high energy. It is extended for nuclear reactions at low energy and intermediate energy by including both the quantum correction and Coulomb correction under the assumption of the effective nuclear density distribution. The calculated results of the total reaction cross section induced by stable nuclei agree well with the 30 experimental data within 10 percent accuracy.The comparison between the numerical results and the 20 experimental data for the total nuclear reaction cross section induced by the neutron halo nuclei and the proton halo nuclei indicates a satisfactory agreement after considering the halo structure of these nuclei, which implies the quite different mean fields for the nuclear reactions induced by halo nuclei and stable nuclei. The halo nucleon distributions and the root mean square radii of these nuclei can be extracted from above comparison based on the improved Glauber model, which indicate clearly the halo structures of these nuclei. Especially, it is clear to see that the medium correction of the nucleon-nucleon collision has little effect on the total reaction cross sections induced by the halo nuclei due to the very weak binding and the very extended density distribution.Comment: 15 pages,2 figures. Communucations in Theoretical Physics, (2003) in pres

PO-045 Effect of Hypoxic Pre-conditioning and Altitude Training on CD55 and CD59 Expressions of Swimmers

Objective By studying the swimmer after preconditioning during altitude training again after the change of erythrocyte immune and immune function, summarizes the change law of erythrocyte immune to try on erythrocyte immune to the connection between the immune index, further perfect the study on hypoxic training for athletes erythrocyte immune level, provide help and reference for scientific plateau training, comprehensive monitoring the immune function, so that more clear understanding of the athlete's body function condition, effective judgment level of fatigue, for the early diagnosis of overtraining and training plan of reasonable adjustment has important significance. Methods . Subjects: 8 first-line swimmers in Shanghai, aged 16.9 + 3.5 years. 2. Hypoxic training program: the 3-week hypoxic training was conducted in the east green boat hypoxic training laboratory with a starting height of 1500m and a height of 2200m after 3 days. Sleep from 19:00 PM to 6:00 am in the hypoxic laboratory six days a week. Day training in an aerobic environment. 3 days after the end of hypoxic training, I went to kunming (2,200m) for 3 weeks of altitude training. After the highland training, go to the field to prepare for the competition. 3. Test indicators: RBC immune indicators CD55,CD59; Functional status indicators RBC,HGB,HCT; Test time: 1 week before hypoxic start, 1 week before hypoxic start, 1 week after hypoxic end (i.e. before plateau training start), and 4 times of day elbow-venous blood taken at the end of altitude training was used for testing. P<0.05 indicates a significant difference, while P<0.01 indicates a very significant difference. Results It was founded that:1)The CD55 levels of the swimmers increased 0.56% at the 10th day,decreased 2.74% at the 3rd week and increased 9.89% 1 week after hypoxic pre-conditioning training. 2) The CD59 levels of the rowers revealed the similar changes as the CD55 during hypoxic pre-conditioning training. 3) The CD3 decreased by 4.13% and CD4/CD8 by 2.4% at the 1st week after hypoxic pre-conditioning training. 4)Compared with normal altitude training,CD55 and CD59 were kept in a high level in the third week of altitude training.  CD59 of this week was lower than last two weeks.5 )WBC of the first hypoxic training week increased a little,and then,it come down in the next two weeks.In the third week of altitude training,WBC has gone up again.Three white cell subsets have different reaction.This result is similar with other researches. Conclusions These results suggest that the effect of our altitude training method takes a different stimulation compared with normal altitude training. Mainly presented: 1).The expressions of CD55 and CD59 increased after hypoxic pre-conditioning and altitude training. 2).The erythrocyte immunity was more sensitive to the hypoxic training. CD55 and CD59 kept in a high level in the third week of altitude training. CD3 increased also. These showed that three weeks hypoxic training accelerated the adaption to altitude training.It suggested that our method took good effects on improving physical functions in altitude training period

NLTGCR: A class of Nonlinear Acceleration Procedures based on Conjugate Residuals

This paper develops a new class of nonlinear acceleration algorithms based on extending conjugate residual-type procedures from linear to nonlinear equations. The main algorithm has strong similarities with Anderson acceleration as well as with inexact Newton methods - depending on which variant is implemented. We prove theoretically and verify experimentally, on a variety of problems from simulation experiments to deep learning applications, that our method is a powerful accelerated iterative algorithm.Comment: Under Revie