STUDIES OF THE ENERGY SPECTRUM AND THE WAVE FUNCTION FOR LOW ENERGY EXCITED STATES IN LIQUID HELIUM II

2007 ◽  
Vol 21 (21) ◽  
pp. 1383-1390
Author(s):  
DE-HUA LIN ◽  
PING ZOU ◽  
ZHONG-WEI ZHANG ◽  
HONG-LEI WANG ◽  
JUN PAN ◽  
...  
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Liquid Helium ◽  
Excited States ◽  
Low Energy ◽  
Large Wave ◽  
Helium Ii ◽  
Wave Numbers ◽  
Specific Temperature

In this paper, we study the elementary excitations and energy spectrum proposed by L. D. Landau in liquid helium II. On the basis of the energy spectrum for the phonons and rotons, we put forward a uniform expression of energy spectrum in liquid helium II, which is limited in a specific temperature range. By using the wave function for low energy excited states proposed by R. P. Feynman or the modified one proposed by Feynman and Cohen, it can be found that the estimated energy spectrum is quite different from the experimental data, especially for the region with large wave numbers. By proposing an improved form for the wave function, we re-analyze the energy spectrum in liquid helium II, and our results show a better agreement with the experimental data.

scholarly journals Energy Spectrum of the Excitations in Liquid Helium II

1969 ◽  
Vol 41 (4) ◽  
pp. 919-940 ◽  
Author(s):  
Sigenobu Sunakawa ◽  
Shuichiro Yamasaki ◽  
Takeji Kebukawa
Keyword(s):  
Energy Spectrum ◽  
Liquid Helium ◽  
Helium Ii

Bohr Hamiltonian with screened Kratzer potential for triaxial nuclei

2020 ◽  
Vol 29 (10) ◽  
pp. 2050082
Author(s):  
Y. Omon ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
P. Owono Ateba
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Experiment Data ◽  
Uvarov Method ◽  
Good Agreement

In this paper, Bohr Hamiltonian is used to describe the behaviors of triaxial nuclei with screened Kratzer potential. The Nikivorov–Uvarov method is used to derive the energy spectrum and corresponding wave function. The electric quadruple transition ratios and energy spectrum of the [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt are calculated and compared with the experimental data. The results are in good agreement with experiment data.

Quantum hydrodynamics and the theory of liquid helium

1953 ◽  
Vol 219 (1137) ◽  
pp. 257-270 ◽  
Keyword(s):  
Energy Spectrum ◽  
Liquid Helium ◽  
Fluid Velocity ◽  
Second Sound ◽  
Quantum Hydrodynamics ◽  
Dynamical Equations ◽  
Helium Ii ◽  
Apparent Variation ◽  
Theory Of Fields ◽  
Good Agreement

The Clebsch formula, u = –∇ ϕ – χ ∇ ψ , for the fluid velocity allows the classical hydro-dynamical equations, including vorticity, to be derived from a variational principle, and put into canonical form. The standard quantization procedure of the theory of fields then gives a set of field operators satisfying the commutation relations obtained (starting from different premises) by Landau (1941). The Hamiltonian contains terms corresponding to the excitation of the ‘roton’ states of Landau’s theory, with an energy spectrum (allowing for the atomicity of real liquids by a ‘cut off’ in the Fourier analysis of the field variables) of the form E = ∆ + p 2 /2 μ . The observed variations of specific heat and second-sound velocity in liquid helium II may be interpreted to give values of ∆ in good agreement with the theory, with an apparent variation of μ with p , perhaps attributable to roton-roton and phonon-roton interactions.

ELECTRIC DIPOLE POLARIZABILITIES OF THE TRITON AND LAMBDA HYPERTRITON

2010 ◽  
Vol 19 (02) ◽  
pp. 225-242 ◽  
Author(s):  
V. F. KHARCHENKO ◽  
A. V. KHARCHENKO
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Electric Dipole ◽  
Ground State ◽  
Input Data ◽  
Low Energy ◽  
Dipole Polarizability ◽  
Order Of Magnitude ◽  
Three Body ◽  
Dipole Polarizabilities

A rigorous formalism for determining the electric dipole polarizability of a three-hadron bound complex in the case that the system has only one bound (ground) state has been elaborated. On its basis, by applying a model wave function that takes into account specific features of the structure of the three-body nuclei and using the known low-energy experimental data for the p–n, n–d, and Λ–d systems as input data, we have calculated the values of the electric dipole polarizabilities of the triton αE(3 H ) and lambda hypertriton [Formula: see text]. We have obtained for the triton polarizability the value 0.23 fm3. It follows from our study that the polarizability of the lambda hypertriton is close to 3 fm3 exceeding the polarizabilities of the ordinary three-nucleon nuclei by an order of magnitude.

Energy spectrum and phase velocity in two- and three-dimensional liquid helium II

Physica B+C ◽  
1980 ◽  
Vol 100 (1) ◽  
pp. 74-80 ◽  
Author(s):  
A. Isihara ◽  
Soon-Tahk Choh ◽  
Woo-Hyung Kang ◽  
Chung-In Um
Keyword(s):  
Energy Spectrum ◽  
Phase Velocity ◽  
Liquid Helium ◽  
Three Dimensional ◽  
Helium Ii

MONTE CARLO SIMULATIONS OF dd REACTION PARAMETERS STUDY AT ULTRA-LOW ENERGY RANGE USING PLASMA HALL ACCELERATOR AND DEUTERIZED TARGETS

2012 ◽  
Vol 21 (11) ◽  
pp. 1250089 ◽  
Author(s):  
M. FILIPOWICZ ◽  
V. M. BYSTRITSKY ◽  
G. N. DUDKIN ◽  
F. M. PENK'OV ◽  
A. V. PHILIPPOV
Keyword(s):  
Experimental Data ◽  
Monte Carlo ◽  
Energy Spectrum ◽  
Energy Range ◽  
Beam Energy ◽  
Low Energy ◽  
Reaction Parameters ◽  
Energy Beam ◽  
Analyze Data

This paper presents results of the application Monte Carlo method to analyze data from the interaction of deuteron beams with metallic targets saturated with deuterium. The SRIM software was used to generate energy spectrum of ions passing the target. These spectra were used to calculate the neutron yields from dd reactions in energy range 7–12 keV of incident deuteron beams. The calculated outputs were compared with the experimental data for the determination of the electron screening potential for dd reactions. The calculations were performed using two different values of the beam energy spread (FWHM) equal 1% and 16%. It was shown that plasma beams with a relatively high spread (16%) were almost as good a tool as the traditional accelerator with mono-energy beam related to the study of the reaction within an ultra-low energy region.

scholarly journals Pairing and (9/2)n configuration in nuclei in the 208Pb region

2018 ◽  
Vol 177 ◽  
pp. 03004
Author(s):  
M. Stepanov ◽  
L. Imasheva ◽  
B. Ishkhanov ◽  
T. Tretyakova
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Ground State ◽  
Exotic Nuclei ◽  
Low Energy ◽  
Energy Spectra ◽  
Pairing Energy ◽  
Multiplet Splitting ◽  
Wide Range ◽  
Nuclear Masses

Excited states in low-energy spectra in nuclei near 208Pb are considered. The pure (j = 9/2)n configuration approximation with delta-force is used for ground state multiplet calculations. The multiplet splitting is determined by the pairing energy, which can be defined from the even-odd straggering of the nuclear masses. For the configurations with more than two valence nucleons, the seniority scheme is used. The results of the calculations agree with the experimental data for both stable and exotic nuclei within 0.06-6.16%. Due to simplicity and absence of the fitted parameters, the model can be easily applied for studies of nature of the excited states in a wide range of nuclei.

scholarly journals Origin of Low- and High-Energy Monopole Collectivity in 132Sn

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 145
Author(s):  
Nikolay N. Arsenyev ◽  
Alexey P. Severyukhin
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Lower Energy ◽  
High Energy ◽  
Wave Functions ◽  
Low Energy ◽  
Phonon Coupling ◽  
Skyrme Interaction ◽  
Separable Approximation ◽  
Hole Interaction

Beginning with the Skyrme interaction, we study the properties of the isoscalar giant monopole resonances (ISGMR) of 132Sn. Using the finite-rank separable approximation for the particle-hole interaction, the coupling between one- and two-phonon terms in the wave functions of excited states is taken into account in very large configurational spaces. The inclusion of the phonon–phonon coupling (PPC) results in the formation of a low-energy 0+ state. The PPC inclusion leads to a fragmentation of the ISGMR strength to lower energy states and also to a higher energy tail. Using the same set of parameters, we describe the available experimental data for the ISGMR characteristics of 118,120,122,124Sn and give a prediction for 126,128,130,132Sn.

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