Index
503
Romo overcompleteness relation, 109
Rotational band, 164, 175
Rotational invariance, 158
S
Scalar product, 186
Scattering length, 61, 172
Scattering matrix, 6, 47, 58, 109
Scattering matrix pole, 151, 155
Scattering solutions of coupled-channel
equation, 457
Scattering state expansion, 405
Scattering states, 2, 5, 55, 60, 62, 345, 404, 471
Scattering wave function, 6, 47
Schwarz space, 187
Screened potential, 56
Separation energy, 343, 383
Shell model embedded in the continuum, 5,
331, 368, 402, 412
Shell structure, 3
Singular value decomposition, 255
Slater determinant, 5, 8, 222
Slater determinant basis, 456, 459
Slater determinant representation, 8
Solar neutrinos, 464
Sommerfeld parameter, 17, 22, 26, 62, 67, 422
Spectral singularities, 107
Spectroscopic amplitude, 332
Spectroscopic factor, 331, 338, 345, 349, 353,
384
Spectroscopic factor in Berggren basis, 338
Spherical harmonics, 16, 420
Spherical one-body potential, 15
Spin-orbit gap, 3
Spin singlet channel of two nucleons, 153
Spin triplet channel of two nucleons, 153
Standard shell model, 7, 20, 185, 212, 290, 331,
338
Stieltjes-Lebesgue measure, 81, 111
Stirling formula, 28
Storage optimization, 215, 217
Sturm-Liouville theory, 81
Subcritical quadrupolar anion, 171
Subspace of anti-linear functionals, 186
Subspace of test functions, 186
Subtraction method, 117, 121
Supercritical quadrupolar anion, 171
Superheavy nuclei, 3
Sweep phase of DMRG, 226
Symplectic shell model, 370
T
Talmi-Brody-Moshinsky coefficients, 21
Talmi-Brody-Moshinsky transformation, 20,
21, 212, 214, 426
Tetraneutron, 385, 389
Three-body Gamow model, 267, 273
Three-body projectiles, 426
Tikhonov regularization method, 298
Time-dependent formalism, 189
T-representation, 268, 273
Trineutron, 389
Truncation of many-body Berggren basis, 203
Two-body matrix elements in Gamow shell
model, 212
Two-dimensional partitioning, 215
2D partitioning scheme, 220
Two-nucleon systems, 149
Two-potential method, 68
U
Unified theory of nuclear structure and
reactions, 404, 457
Unitarity, 5, 7, 341, 354, 383
V
Virial theorem, 45
Virtual state, 38, 39, 61, 156
W
Warm-up phase of DMRG, 226
Whittaker function, 319, 334
Wigner D-matrix, 419
Wigner cusp, 337, 338, 347
Wigner–Eckart theorem, 21, 413
WKB approximation, 49
Woods-Saxon potential, 32, 40, 113, 254, 320
Wronskian, 24, 26, 55, 67, 111
Y
Yrast band, 178
Y-representation, 268
Z
Zel’dovich method, 98
503
Romo overcompleteness relation, 109
Rotational band, 164, 175
Rotational invariance, 158
S
Scalar product, 186
Scattering length, 61, 172
Scattering matrix, 6, 47, 58, 109
Scattering matrix pole, 151, 155
Scattering solutions of coupled-channel
equation, 457
Scattering state expansion, 405
Scattering states, 2, 5, 55, 60, 62, 345, 404, 471
Scattering wave function, 6, 47
Schwarz space, 187
Screened potential, 56
Separation energy, 343, 383
Shell model embedded in the continuum, 5,
331, 368, 402, 412
Shell structure, 3
Singular value decomposition, 255
Slater determinant, 5, 8, 222
Slater determinant basis, 456, 459
Slater determinant representation, 8
Solar neutrinos, 464
Sommerfeld parameter, 17, 22, 26, 62, 67, 422
Spectral singularities, 107
Spectroscopic amplitude, 332
Spectroscopic factor, 331, 338, 345, 349, 353,
384
Spectroscopic factor in Berggren basis, 338
Spherical harmonics, 16, 420
Spherical one-body potential, 15
Spin-orbit gap, 3
Spin singlet channel of two nucleons, 153
Spin triplet channel of two nucleons, 153
Standard shell model, 7, 20, 185, 212, 290, 331,
338
Stieltjes-Lebesgue measure, 81, 111
Stirling formula, 28
Storage optimization, 215, 217
Sturm-Liouville theory, 81
Subcritical quadrupolar anion, 171
Subspace of anti-linear functionals, 186
Subspace of test functions, 186
Subtraction method, 117, 121
Supercritical quadrupolar anion, 171
Superheavy nuclei, 3
Sweep phase of DMRG, 226
Symplectic shell model, 370
T
Talmi-Brody-Moshinsky coefficients, 21
Talmi-Brody-Moshinsky transformation, 20,
21, 212, 214, 426
Tetraneutron, 385, 389
Three-body Gamow model, 267, 273
Three-body projectiles, 426
Tikhonov regularization method, 298
Time-dependent formalism, 189
T-representation, 268, 273
Trineutron, 389
Truncation of many-body Berggren basis, 203
Two-body matrix elements in Gamow shell
model, 212
Two-dimensional partitioning, 215
2D partitioning scheme, 220
Two-nucleon systems, 149
Two-potential method, 68
U
Unified theory of nuclear structure and
reactions, 404, 457
Unitarity, 5, 7, 341, 354, 383
V
Virial theorem, 45
Virtual state, 38, 39, 61, 156
W
Warm-up phase of DMRG, 226
Whittaker function, 319, 334
Wigner D-matrix, 419
Wigner cusp, 337, 338, 347
Wigner–Eckart theorem, 21, 413
WKB approximation, 49
Woods-Saxon potential, 32, 40, 113, 254, 320
Wronskian, 24, 26, 55, 67, 111
Y
Yrast band, 178
Y-representation, 268
Z
Zel’dovich method, 98
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