500
Index
Complex rotation, 102, 117, 458
Complex scaling, 101, 115, 117, 160, 270
Complex-symmetric Hamiltonian, 127, 163,
224, 457
Complex-symmetric matrices, 127, 129, 131
Confluent hypergeometric function, 15, 22, 25,
29
Continued fractions, 25
Continuum shell model, 5, 402
Core-composite orthogonalization, 429
Correlation density, 266
Coulomb attractive potential, 97
Coulomb completeness relation, 92, 94
Coulomb dissociation cross section, 402
Coulomb function, 25
Coulomb interaction, 153, 155
Coulomb phase shift, 23
Coulomb potential, 22, 56, 121, 357, 422, 431
Coulomb turning point, 29
Coulomb two-body matrix elements, 213
Coulomb wave function, 4, 9, 17, 22, 23, 28,
29, 36, 77, 322
Coupled-channel basis, 176, 456, 459
Coupled-channel Berggren basis, 457
Coupled-channel equations in Berggren basis,
456
Coupled-channel Gamow shell model, 8, 265,
408, 411, 417, 435, 459, 470
Coupled-channel Hamiltonian, 403, 407,
435–437, 457
Coupled-channel representation, 8, 410, 435
Coupled-cluster theory, 368, 393, 403
Covariance matrix, 229, 261
Critical dipole moment, 158
Critical electric quadrupole moment, 162, 167
Current formula, 66, 78, 178
Cut method, 117, 121
D
Deformed proton emitter, 174
Density matrix renormalization group
approach, 204, 224, 380, 386
Deuteron, 151, 152, 155
Deuteron scattering, 470
Dilation analytic potential, 293
Dineutron, 151, 152, 155
Dipolar anions, 158, 162
Diproton, 151, 152, 155
Dirac delta normalization, 82, 86, 89, 135, 160,
186
Discretized Berggren completeness relation,
112
Dispersion relation, 47, 63
Distorted wave Born approximation, 401
Domain of Berggren completeness relation,
192
Dripline, 3, 253, 266
E
Effective charge, 466
Effective mass, 17
Eigenvalues of coupled-channel Gamow shell
model, 475
Elastic scattering cross section, 402, 405, 442,
473
Electric dipole transition, 179
Electromagnetic operator, 212, 419
Entrance channel, 8, 414, 416
Equivalent potential method, 455
Error analysis, 227
Error function, 116
Exceptional point, 4, 107, 131
Exit channel, 8, 414, 416
Extended R-matrix approach, 379
F
Faddeev equations in Berggren basis, 440
Faddeev–Yakubovsky equations, 370
Fermi function regulator, 154
Feshbach projection technique, 402
FHT interaction, 255, 263, 468, 471
Fock space, 5
Fourier-Bessel transform, 119, 213
Fredholm operator, 111
G
Gamma function, 20
Gamow factor, 67
Gamow-Hartree-Fock potential, 209, 460
Gamow shell model, 5, 7, 124, 193, 215, 224,
331, 393, 404
Gamow shell model eigenstates, 112
Gamow shell model Hamiltonian, 7
Gamow states, 7, 98, 187, 189
Gauss-Legendre quadrature, 120, 191
Gel’fand triplet, 6, 186
Generalized eigenvalue problem, 297, 450
Generalized Laguerre polynomial, 20
Generalized rational Gaudin model, 281
Index
Complex rotation, 102, 117, 458
Complex scaling, 101, 115, 117, 160, 270
Complex-symmetric Hamiltonian, 127, 163,
224, 457
Complex-symmetric matrices, 127, 129, 131
Confluent hypergeometric function, 15, 22, 25,
29
Continued fractions, 25
Continuum shell model, 5, 402
Core-composite orthogonalization, 429
Correlation density, 266
Coulomb attractive potential, 97
Coulomb completeness relation, 92, 94
Coulomb dissociation cross section, 402
Coulomb function, 25
Coulomb interaction, 153, 155
Coulomb phase shift, 23
Coulomb potential, 22, 56, 121, 357, 422, 431
Coulomb turning point, 29
Coulomb two-body matrix elements, 213
Coulomb wave function, 4, 9, 17, 22, 23, 28,
29, 36, 77, 322
Coupled-channel basis, 176, 456, 459
Coupled-channel Berggren basis, 457
Coupled-channel equations in Berggren basis,
456
Coupled-channel Gamow shell model, 8, 265,
408, 411, 417, 435, 459, 470
Coupled-channel Hamiltonian, 403, 407,
435–437, 457
Coupled-channel representation, 8, 410, 435
Coupled-cluster theory, 368, 393, 403
Covariance matrix, 229, 261
Critical dipole moment, 158
Critical electric quadrupole moment, 162, 167
Current formula, 66, 78, 178
Cut method, 117, 121
D
Deformed proton emitter, 174
Density matrix renormalization group
approach, 204, 224, 380, 386
Deuteron, 151, 152, 155
Deuteron scattering, 470
Dilation analytic potential, 293
Dineutron, 151, 152, 155
Dipolar anions, 158, 162
Diproton, 151, 152, 155
Dirac delta normalization, 82, 86, 89, 135, 160,
186
Discretized Berggren completeness relation,
112
Dispersion relation, 47, 63
Distorted wave Born approximation, 401
Domain of Berggren completeness relation,
192
Dripline, 3, 253, 266
E
Effective charge, 466
Effective mass, 17
Eigenvalues of coupled-channel Gamow shell
model, 475
Elastic scattering cross section, 402, 405, 442,
473
Electric dipole transition, 179
Electromagnetic operator, 212, 419
Entrance channel, 8, 414, 416
Equivalent potential method, 455
Error analysis, 227
Error function, 116
Exceptional point, 4, 107, 131
Exit channel, 8, 414, 416
Extended R-matrix approach, 379
F
Faddeev equations in Berggren basis, 440
Faddeev–Yakubovsky equations, 370
Fermi function regulator, 154
Feshbach projection technique, 402
FHT interaction, 255, 263, 468, 471
Fock space, 5
Fourier-Bessel transform, 119, 213
Fredholm operator, 111
G
Gamma function, 20
Gamow factor, 67
Gamow-Hartree-Fock potential, 209, 460
Gamow shell model, 5, 7, 124, 193, 215, 224,
331, 393, 404
Gamow shell model eigenstates, 112
Gamow shell model Hamiltonian, 7
Gamow states, 7, 98, 187, 189
Gauss-Legendre quadrature, 120, 191
Gel’fand triplet, 6, 186
Generalized eigenvalue problem, 297, 450
Generalized Laguerre polynomial, 20
Generalized rational Gaudin model, 281