Effective operators in two-nucleon systems
Abstract
Effective Hamiltonians and effective electroweak operators are calculated with the Okubo-Lee-Suzuki formalism for two-nucleon systems. Working within a harmonic oscillator basis, first without and then with a confining harmonic oscillator trap, we demonstrate the effects of renormalization on observables calculated for truncated basis spaces. We illustrate the renormalization effects for the root-mean-square point-proton radius, electric quadrupole moment, magnetic dipole moment, Gamow-Teller transition and neutrinoless double-beta decay operator using nucleon-nucleon interactions from chiral Effective Field Theory. Renormalization effects tend to be larger in the weaker traps and smaller basis spaces suggesting applications to heavier nuclei with transitions dominated by weakly-bound nucleons would be subject to more significant renormalization effects within achievable basis spaces.
- Authors:
-
- Iowa State Univ., Ames, IA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1544149
- Alternate Identifier(s):
- OSTI ID: 1485200
- Grant/Contract Number:
- FG02-87ER40371; SC0018223; SC0015376; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 6; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Vary, James P., Basili, Robert, Du, Weijie, Lockner, Matthew, Maris, Pieter, Pal, Soham, and Sarker, Shiplu. Effective operators in two-nucleon systems. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.98.065502.
Vary, James P., Basili, Robert, Du, Weijie, Lockner, Matthew, Maris, Pieter, Pal, Soham, & Sarker, Shiplu. Effective operators in two-nucleon systems. United States. https://doi.org/10.1103/PhysRevC.98.065502
Vary, James P., Basili, Robert, Du, Weijie, Lockner, Matthew, Maris, Pieter, Pal, Soham, and Sarker, Shiplu. Mon .
"Effective operators in two-nucleon systems". United States. https://doi.org/10.1103/PhysRevC.98.065502. https://www.osti.gov/servlets/purl/1544149.
@article{osti_1544149,
title = {Effective operators in two-nucleon systems},
author = {Vary, James P. and Basili, Robert and Du, Weijie and Lockner, Matthew and Maris, Pieter and Pal, Soham and Sarker, Shiplu},
abstractNote = {Effective Hamiltonians and effective electroweak operators are calculated with the Okubo-Lee-Suzuki formalism for two-nucleon systems. Working within a harmonic oscillator basis, first without and then with a confining harmonic oscillator trap, we demonstrate the effects of renormalization on observables calculated for truncated basis spaces. We illustrate the renormalization effects for the root-mean-square point-proton radius, electric quadrupole moment, magnetic dipole moment, Gamow-Teller transition and neutrinoless double-beta decay operator using nucleon-nucleon interactions from chiral Effective Field Theory. Renormalization effects tend to be larger in the weaker traps and smaller basis spaces suggesting applications to heavier nuclei with transitions dominated by weakly-bound nucleons would be subject to more significant renormalization effects within achievable basis spaces.},
doi = {10.1103/PhysRevC.98.065502},
journal = {Physical Review C},
number = 6,
volume = 98,
place = {United States},
year = {Mon Dec 10 00:00:00 EST 2018},
month = {Mon Dec 10 00:00:00 EST 2018}
}
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Works referencing / citing this record:
Effective interactions in the shell
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Effective interactions in the sd shell
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