The 1S0 two-nucleon T matrix and the interior wave function

The fully off-shell T matrix is generated from a real symmetric function σ(k,k′) which in turn can be obtained from a knowledge of the two-body wave function in the interaction interior. The resulting T matrices are employed to compute the binding energies of 16O, 40Ca, and nuclear matter. Limiting the two-body wave function to physically acceptable forms limits the allowed σ functions. A 'difference integral' is defined in terms of the two-body scattering wave function, which seems to be strongly correlated with the binding energies.

Download Full-text

Topology change, emergent symmetries and compact star matter

AAPPS Bulletin ◽

10.1007/s43673-021-00016-1 ◽

2021 ◽

Vol 31 (1) ◽

Author(s):

Yong-Liang Ma ◽

Mannque Rho

Keyword(s):

Nuclear Matter ◽

Compact Star ◽

Momentum Tensor ◽

Effective Field ◽

Compact Stars ◽

Strongly Correlated ◽

Topology Change ◽

Dense Nuclear Matter ◽

Skyrmion Matter ◽

Energy Constants

AbstractTopology effects have being extensively studied and confirmed in strongly correlated condensed matter physics. In the limit of large number of colors, baryons can be regarded as topological objects—skyrmions—and the baryonic matter can be regarded as a skyrmion matter. We review in this paper the generalized effective field theory for dense compact-star matter constructed with the robust inputs obtained from the skyrmion approach to dense nuclear matter, relying on possible “emergent” scale and local flavor symmetries at high density. All nuclear matter properties from the saturation density n0 up to several times n0 can be fairly well described. A uniquely novel—and unorthdox—feature of this theory is the precocious appearance of the pseudo-conformal sound velocity $v^{2}_{s}/c^{2} \approx 1/3$ v s 2 / c 2 ≈ 1 / 3 , with the non-vanishing trace of the energy momentum tensor of the system. The topology change encoded in the density scaling of low energy constants is interpreted as the quark-hadron continuity in the sense of Cheshire Cat Principle (CCP) at density $\gtrsim 2n_{0}$ ≳ 2 n 0 in accessing massive compact stars. We confront the approach with the data from GW170817 and GW190425.

Download Full-text

Communication: Convergence of many-body wave-function expansions using a plane-wave basis in the thermodynamic limit

The Journal of Chemical Physics ◽

10.1063/1.4958461 ◽

2016 ◽

Vol 145 (3) ◽

pp. 031104 ◽

Cited By ~ 8

Author(s):

James J. Shepherd

Keyword(s):

Wave Function ◽

Plane Wave ◽

Thermodynamic Limit ◽

Body Wave ◽

Many Body

Download Full-text

Correlated Band Structure of a Transition Metal Oxide ZnO Obtained from a Many-Body Wave Function Theory

Physical Review Letters ◽

10.1103/physrevlett.118.026402 ◽

2017 ◽

Vol 118 (2) ◽

Cited By ~ 8

Author(s):

Masayuki Ochi ◽

Ryotaro Arita ◽

Shinji Tsuneyuki

Keyword(s):

Wave Function ◽

Transition Metal ◽

Band Structure ◽

Metal Oxide ◽

Function Theory ◽

Body Wave ◽

Transition Metal Oxide ◽

Many Body

Download Full-text

Cationic gold clusters ligated with differently substituted phosphines: effect of substitution on ligand reactivity and binding

Physical Chemistry Chemical Physics ◽

10.1039/c5cp01686j ◽

2015 ◽

Vol 17 (22) ◽

pp. 14636-14646 ◽

Cited By ~ 16

Author(s):

Grant E. Johnson ◽

Astrid Olivares ◽

David Hill ◽

Julia Laskin

Keyword(s):

Ligand Binding ◽

Lone Pair ◽

Gold Clusters ◽

Binding Energies ◽

Phosphine Ligands ◽

Strongly Correlated ◽

P Loss ◽

Ligand Reactivity ◽

Cationic Gold

Loss of substituted phosphine ligands is strongly correlated with the electron donating ability of the phosphorous lone pair. The results indicate that the relative ligand binding energies increase in the order PMe3 < PPhMe2 < PPh2Me < PPh3 < PPh2Cy < PPhCy2 < PCy3.

Download Full-text

A COMPLETE VARIATIONAL WAVE FUNCTION FOR THE GROUND STATE OF 3H AND 3He

Canadian Journal of Physics ◽

10.1139/p66-171 ◽

1966 ◽

Vol 44 (9) ◽

pp. 2095-2110 ◽

Cited By ~ 12

Author(s):

Marcel Banville ◽

P. D. Kunz

Keyword(s):

Wave Function ◽

Coordinate System ◽

Body Wave ◽

Center Of Mass ◽

Minimum Energy ◽

Equal Mass ◽

Radial Coordinate ◽

Orthogonal Functions ◽

Gaussian Shape ◽

Three Body

The three-body wave function for particles of equal mass is expanded in a systematic way by making use of a hyperspherical coordinate system. Apart from the center-of-mass coordinates, three of the variables are the usual Euler angles describing the orientation of the plane defined by the three particles. The other three variables, which describe the shape of the triangle, are represented in terms of a radial coordinate and two angular coordinates. The kinetic energy for these last three coordinates is separable and allows one to expand the three-body wave function in a complete set of orthogonal functions based upon the angular variables. The particular symmetry of the internal part of the wave function under permutations of the three particles is easily represented in terms of the set of functions for one of the angular variables. By choosing a particular set of radial functions one can then obtain the upper limit on the binding energy for the three-body system through the Rayleigh–Ritz variational procedure. The advantage of this particular coordinate system is that all but a few of the variational parameters occur linearly in the wave function, and the minimum energy can be obtained by diagonalizing a small number of the energy matrices. The method is applied to find the lower limit to a standard spin-independent potential of Gaussian shape.

Download Full-text