scholarly journals Generation of long range and short range potentials

Author(s):  
Shinsho Oryu

Abstract The general particle transfer (GPT) potential generates not only the Yukawa-type potential but also the 1⁄r^n-type potential in the hadron system, where the mass dependence of the transferred particle is clarified. The GPT potential from the atom-molecular system to the quark-gluon system was transversally studied, where the pico-meter physics could be highlighted. It was found that the long range three-body Efimov potential is connected with the short range three-body force potential.

2020 ◽  
Vol 61 (4) ◽  
Author(s):  
Shinsho Oryu

AbstractThe existence of a kinematic long range component in the one particle transfer three-body potential or so-called “general particle transfer (GPT) potential” was proposed several years ago. In this investigation the mass dependence of the exchanged particle and the index number of the long range property are clarified. On the basis of the GPT potential, a new long range three-body force is proposed in the hadron system, which will be compared with the Efimov potential.


1983 ◽  
Vol 37 (10) ◽  
pp. 353-356
Author(s):  
S. Azam ◽  
Y. Nogami ◽  
N. Ohtsuka

Author(s):  
Shinsho Oryu ◽  
Takashi Watanabe ◽  
Yasuhisa Hiratsuka ◽  
Masayuki Takeda

A new potential, the generalgeneralparticleparticletransfertransferpotentialpotential: so called “GPT” potential was represented in the previous paper which indicates a Yukawa-type potential for shorter range, but a 1/r^n1/rn-type potential for longer range where n=2n=2 includes the Efimov-like potential in the hadron system. In order to confirm the existence of a GPT potential, we investigate the possibility of Cs+2d\rightarrow→La reaction on the three-ion quasi-molecule CsD_22 which is covered by twelve Pd or a CsD_22Pd_{12}12-cluster, where the three-body bound states and wave functions for D-Cs-D molecular and d-Cs-d nuclear systems are calculated. We obtain an approximate E2-transition from the molecular states to the nuclear states. The transition ratio between the short range nuclear potential with the 1/r^21/r2-type long range potential and without long range potential is W_{i\rightarrow f}^{E2';L}/W_{i\rightarrow f}^{E2';S}\approx 10^8Wi→fE2′;L/Wi→fE2′;S≈108. If the reaction Cs+2D\rightarrow→La is experimentally observed, then the existence of the GPT potential could be confirmed.


1972 ◽  
Vol 27 (8-9) ◽  
pp. 1196-1210
Author(s):  
Ø. Ra

Abstract Due to the exclusion principle the distribution of electronic charge in an ionic crystal differs from a superposition of free-ion charge densities even in the simple Heitler-London picture. This charge density deformation engenders three-body long-range forces the influence of which on lattice vibrations is not accounted for by the usual Kellermann matrix. To obtain a better separation of long-range from short-range forces in CaF2 , SrF2, and BaF2 , i. e. to avoid absorbing long-range interactions in an adjustable short-range force field, explicit formulae are derived for three-body contributions to the shell-model equations of motion. The additional dynamical matrices pertain to arbitrary wavelengths. In adding to the force field terms which are not purely volume dependent the present descirption of three-body forces is somewhat at variance with recent work on alkali halide dynamics. The deviation from pure volume dependence originates in overlap charges residing in internuclear regions.


2021 ◽  
Vol 17 (12) ◽  
pp. e1009669
Author(s):  
Lei Liu ◽  
Bokai Zhang ◽  
Changbong Hyeon

There is a growing realization that multi-way chromatin contacts formed in chromosome structures are fundamental units of gene regulation. However, due to the paucity and complexity of such contacts, it is challenging to detect and identify them using experiments. Based on an assumption that chromosome structures can be mapped onto a network of Gaussian polymer, here we derive analytic expressions for n-body contact probabilities (n > 2) among chromatin loci based on pairwise genomic contact frequencies available in Hi-C, and show that multi-way contact probability maps can in principle be extracted from Hi-C. The three-body (triplet) contact probabilities, calculated from our theory, are in good correlation with those from measurements including Tri-C, MC-4C and SPRITE. Maps of multi-way chromatin contacts calculated from our analytic expressions can not only complement experimental measurements, but also can offer better understanding of the related issues, such as cell-line dependent assemblies of multiple genes and enhancers to chromatin hubs, competition between long-range and short-range multi-way contacts, and condensates of multiple CTCF anchors.


2021 ◽  
Author(s):  
Lei Liu ◽  
Bokai Zhang ◽  
Changbong Hyeon

There is a growing realization that multi-way chromatin contacts formed in chromosome structures are fundamental units of gene regulation. However, due to the paucity and complexity of such contacts, it is challenging to detect and identify them using experiments. Based on an assumption that chromosome structures can be mapped onto a network of Gaussian polymer, here we derive analytic expressions for n-body contact probabilities (n > 2) among chromatin loci based on pairwise genomic contact frequencies available in Hi-C, and show that multi-way contact probability maps can in principle be extracted from Hi-C. The three-body (triplet) contact probabilities, calculated from our theory, are in good correlation with those from measurements including Tri-C, MC-4C and SPRITE. Maps of multi-way chromatin contacts calculated from our analytic expressions can not only complement experimental measurements, but also can offer better understanding of the related issues, such as cell-line dependent assemblies of multiple genes and enhancers to chromatin hubs, competition between long-range and short-range multi-way contacts, and condensates of multiple CTCF anchors.


2013 ◽  
Vol 91 (1) ◽  
pp. 27-33 ◽  
Author(s):  
Anurag Srivastava ◽  
Bhoopendra Dhar Diwan

The present paper reports the structural stability, pressure-induced phase transition, and thermophysical properties for refractory metal nitrides (viz: TiN, ZrN, HfN, VN, NbN, and TaN) computed using a three-body force potential model. The structural phase transitions from a parental NaCl (B1) type phase to the most stable CsCl (B2) type phase has been observed in the pressure range 162–370 GPa. Study includes the computation of thermophysical properties (U, f, θD, υ0,γ, β, αV/CV), where some of the properties are being reported for the first time on these materials.


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