On the Perturbative Nuclear Physics

Jiunn-Wei Chen (陳俊瑋 )

National Taiwan U.

• Introduction to the nuclear effective field theory by Beane, Kaplan, Vuorinen (BKV, ‘08).

• Chiral extrapolations of two nucleon observables using the BKV approach

NP P

Beane, Kaplan, Vuorinen (BKV) ’08:Using a Pauli-Villars (PV) field to cancel the short distance part of the potential

BKV = KSW in

BKV = KSW+PV in

BKV = KSW+PV in

BKV = KSW+PV in

NN NPLQCD ‘06

NN NPLQCD’06

50 100 150 200 250 300 350

60 40 20

204060

Quark mass dependence ofScattering length in BKV

A hint for multiverse?

50 100 150 200 250 300 350

60 40 20

204060

Scattering length

100 150 200 250 300 350

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4

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Effective Range

Quark Mass Dependence in BKV (JWC work in progress)

Only need NN scattering length at different quark masses from LQCD to study the quark mass dependence of all the observables in NN systems

in JWC, Savage(99),Rupak(00)

10 20 30 40

2

4

6

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12

for different pion masses

120 MeV

140 MeV150 MeV

Outlooks

• Is BKV correct?

• Only need NN scattering length at different quark masses from LQCD to study the quark mass dependence of all the observables in NN systems. (Always true, even BKV is not correct.) Lower quark mass computations are important.

50 100 150 200

10

5

5

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25